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Questions and Answers

What does the mathematical expression $\overrightarrow{M} = \frac{d\overrightarrow{L}}{dt}, M_z = J_z\frac{d\omega}{dt} = J_z\epsilon$ define?

  • Moment of the force relative to a fixed point
  • Steiner theorem
  • Equation of moments; fundamental law of dynamics of rotational motion for a rigid body about a fixed axis (correct)
  • Law of conservation of angular momentum for a closed system

Which quantity is determined by the formula $p = \sum_{i=1}^{n} p_i$?

  • Maxwell's law
  • Amaga's law for ideal gases
  • Dalton's law (correct)
  • Barometric formula

How can an external force act on a liquid?

  • Attraction, pressure
  • Surface, volume (correct)
  • Inert, superficial
  • Hydraulic, atmospheric

What is hydraulics?

<p>The science that studies the motion and equilibrium of fluids. (A)</p> Signup and view all the answers

Dynamic pressure is determined by what expression?

<p>$P_d = \rho v^2/2$ (B)</p> Signup and view all the answers

What does the Reynolds number determine?

<p>The flow character of the liquid. (D)</p> Signup and view all the answers

The Reynolds number is inversely proportional to the speed of the liquid.

<p>False (B)</p> Signup and view all the answers

Determine the moment of inertia of a car of mass 1000 kg when it moves at 36 km/h on a straight section of the road.

<p>Cannot be determined under these conditions. (D)</p> Signup and view all the answers

What quantity is analogous to mass in the equation of the dynamics of rotational motion?

<p>Moment of inertia (B)</p> Signup and view all the answers

What is meant by flow?

<p>Fluid motion (B)</p> Signup and view all the answers

What is liquid flood?

<p>Fluid motion (D)</p> Signup and view all the answers

What is the kinetic energy of a body rotating and moving forward in a plane at the same time?

<p>$I_c\omega^2 / 2 + mv_c^2 / 2$ (C)</p> Signup and view all the answers

If we increase the moment of inertia and the object's angular velocity by a factor of 2, how does the impulse-momentum of the object change?

<p>Increases 4 times (D)</p> Signup and view all the answers

Which statement is true regarding the relationship between the moment of inertia of a disk ($I_d$) and a cylinder ($I_s$) with the same mass and radius?

<p>$I_s &gt; I_d$ (B)</p> Signup and view all the answers

Which quantity is determined by the formula $T = \frac{1}{2} I_c \omega^2 + \frac{1}{2} m v_c^2$?

<p>The kinetic energy of an object rotating and moving forward in a plane at the same time. (A)</p> Signup and view all the answers

What characterizes the laminar flow of liquid?

<p>Maintaining an orderly arrangement of fluid particles (B)</p> Signup and view all the answers

What is the characteristic of the turbulent flow regime of liquid?

<p>Unsystematic movement of liquid particles inside the pipe (B)</p> Signup and view all the answers

Which physical quantity is a vector quantity?

<p>Displacement (C)</p> Signup and view all the answers

What is the movement of raindrops towards the Earth?

<p>First increasing, then accelerating as air resistance balances gravity (D)</p> Signup and view all the answers

The velocity and acceleration of an object at any given time form a right angle. How does this object move?

<p>Uniform along the circumference (B)</p> Signup and view all the answers

If a force F acts on the rim of a wheel in a tangential direction and the wheel rotates in the direction of the 5-axis, what vector indicates the direction of its angular velocity?

<p>4 (C)</p> Signup and view all the answers

What is the name of the vector drawn from the center of the coordinate system to any point?

<p>Radius-vector (C)</p> Signup and view all the answers

The vector sum of all forces acting on the moving ball is zero. What is the trajectory of the ball according to the inertial calculation system?

<p>Rectilinear (A)</p> Signup and view all the answers

The pedestrian covered half of the circle with a radius of 2 km in 1.5 hours. What is the displacement of the pedestrian during this time?

<p>4.0 km (D)</p> Signup and view all the answers

The Newton's Laws are applicable in any non-inertial calculation systems

<p>False (B)</p> Signup and view all the answers

What does the expression $\overrightarrow{F} = -gradE_p$ mean?

<p>The relationship between the force acting on the body at a given point of the field and the potential energy of the particle (A)</p> Signup and view all the answers

What does the formula $A = \int_s F_s dS = \int_s F cos\alpha dS$ mean?

<p>The work done by the variable force on the path S (C)</p> Signup and view all the answers

If the gravitational pull of the Earth on your textbook is the action, what is the reaction according to Newton's third law?

<p>The pull of your book on the Earth. (D)</p> Signup and view all the answers

Under the influence of a constant force of 5N in the tangential direction to a solid sphere with a radius of 1 cm, the sphere makes one complete revolution around its axis. Find the work done by this force.

<p>0.314 C (B)</p> Signup and view all the answers

The momentum of a material point changes according to the law $\overrightarrow{p} = 5t\overrightarrow{i} + 1.5t^2 \overrightarrow{j}$ (kg⋅m/sec). What is the modulus (in newtons) of the force acting on the material point in time t=4 seconds?

<p>13 (B)</p> Signup and view all the answers

The particle moved from point 1 with radius vector $\overrightarrow{r_1} = 2\overrightarrow{i} - 3\overrightarrow{j}$ to point 2 with radius vector $\overrightarrow{r_2} = 3\overrightarrow{i} + 2\overrightarrow{j}$ along a certain trajectory. It was affected by the force $\overrightarrow{F} = 3\overrightarrow{i} + 4\overrightarrow{j}$. What is the work done by this force?

<p>23 (D)</p> Signup and view all the answers

What is the order of increasing acceleration for three uniform motions cases as shown in the picture?

<p>$a_{2x} &lt; a_{1x} &lt; a_{3x}$ (C)</p> Signup and view all the answers

During the harmonic dance, at the moment when the mathematical dancer's handle is maximally inclined from the vertical position, in which direction does the ball's acceleration go?

<p>Perpendicular to the handle (A)</p> Signup and view all the answers

The angular momentum of the disk decreases if the immediate loads approach the axis of rotation, even if the moment of force acting on the disk remains the same as before

<p>True (A)</p> Signup and view all the answers

Which of the formula is true if angular momentum of a rotating body varies according to the law $L-\alpha t^2$, where $\alpha$ is a definite positive constant. The time dependence of the moment of force acting on the object?

<p>Decreasing linear function (A)</p> Signup and view all the answers

What is the equation of uniform motion?

<p>$X = X_0 + V_x \cdot t + \frac{a_x t^2}{2}$ (D)</p> Signup and view all the answers

Centrifugal acceleration is determined by what expression?

<p>$a = V^2/R$ (C)</p> Signup and view all the answers

How does the object move in this example: In any time period, the velocity and acceleration of the object form a right angle (modules of velocity and acceleration are constant)?

<p>Uniform along the circumference (A)</p> Signup and view all the answers

What is the average velocity of the object during the period of motion based on the Vx(t) graph?

<p>2.5m/sec (D)</p> Signup and view all the answers

The amplitude value of the velocity is - if the time dependence of the coordinate of the oscillating body occurs according to the law x=0.5cos(18t+4)..?

<p>9 cm/sec (B)</p> Signup and view all the answers

The amplitude value of the acceleration is - if the time dependence of the coordinate of the oscillating body occurs according to the law x=0.5cos(4t+4)

<p>8 $cm/sec^2$ (D)</p> Signup and view all the answers

Find the direction of frictional force acting on a rolling stone?

<p>It is opposite to its motion (D)</p> Signup and view all the answers

The work done by gravity during the motion of satellite around the Earth is

<p>Equal to 0 (B)</p> Signup and view all the answers

If the velocity of each molecule in a given volume of an ideal gas is increased by two times, how will be changed the pressure affected on the walls of the container with the gas?

<p>Increases 4 times (A)</p> Signup and view all the answers

Determine the correct match between each energy and the definition

<p>Q = dQ/dt E = mc^2 W = Fd P = Transfer in time</p> Signup and view all the answers

Is 1 bar higher or lower than atmosphere?

<p>False (B)</p> Signup and view all the answers

What amount of thrust is created by using gas with flow rate 10 g/s at 2000 m/s?

<p>20 N (C)</p> Signup and view all the answers

Flashcards

M = dl/dt

Defines the angular momentum of a rigid body about its axis of rotation.

p = Σ pi

Determines Dalton's Law, the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of the individual gases.

External force impact on liquid

External force can act on a liquid through surface and volume.

What is hydraulics?

Science that studies the motion and equilibrium of fluids.

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Dynamic pressure

Pd = ρv²/2

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Reynolds number

Determines the flow character of a liquid.

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Reynolds number

Velocity is proportional to the speed of liquid movement.

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Moment of inertia

Is analogous to moment of inertia in rotational motion.

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What is flow?

Fluid motion

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What is liquid motion?

Lines tanget to each point, directed to liquid particals directions

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Characterize turbulent flow

Unsystematic movement of liquid particles inside the pipe.

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Displacement

A vector quantity.

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Raindrops falling

First increasing, then accelarating as air resistance balances gravity

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Inertia and Velocity increasing

Is correct if inertia and angular velocity increase twice

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T = ½Iω² + ½mv²

The kinetic energy of an object rotating and moving

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Newtons law 1 & 2

Law not functional in any calculaiton sustem

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F = -gradEp

Relationship with the force and potential energy of the particle

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A = ∫ FsdS

is the work done by the variable force on the path S

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Newton's third law

The pull of the book has a reaction force of the same nature

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0,314C

The force to revolution a tangential sphere

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The momentum magnitude, N

Radius, Velocity & Momentum matter

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Vector Work

31 + 4] work

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accleration sequence

The right accleration of a non linear acceleration

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Harmonic motion accelaration

Pependicular to the plane of harmonic accelaration

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Disk and Cylinder inertia

Inertias about its cylindrical shape can be used

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Iw²

Kinetic energy depends on shape

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Inversily proportional

How is drag

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P-Force

Power describes energy amount

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Change on engine

Speed decreases and changes

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90 degree angle, force

A is 0

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In this linear callulation moves, is it an inretial system?

If a linear object moves in a constant line in velocity

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Math function energy

Energy form depends on function

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how to tell vector length =?

F -vector length

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energy does what?

Conserves enegry

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If gas object increases, 20%, with constant force. How will the object move

Increases 1.2 times

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10 degree diagram holds??

Is what holds bond in a diagrpham

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which matches?

The equation between diagram and math

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How to find size of diagram

If pressure has height, and temperature has mass

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mass - absolute number

The mass is on absolute number. so how does it move on graph,?

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What diagram function makes enregy

Energy depends on forms, which

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Study Notes

Angular Momentum and Rotational Motion

  • Angular momentum of a rigid body about its axis of rotation is defined by the formula: M = dL/dt, Mz = Jz(dw/dt) = Jzε
  • Steiner theorem isn't defined by this expression.
  • The expression relates to the equation of moments, fundamental law of rotational motion about a fixed axis.
  • The expression does describe the law of conservation of angular momentum for a closed system
  • Moment of force relative to a fixed point is also not defined by the expression

Determining Quantity with Summation

  • The quantity determined by the formula p = Σ(i=1 to n) pi is Dalton's law

External Force and Liquids

  • An external force can act on a liquid through attraction and pressure

Hydraulics Definition

  • Hydraulics studies the motion and equilibrium of fluids

Dynamic Pressure Expression

  • Dynamic pressure is determined by the expression Pd = ρv²/2.

Reynolds Number Determination

  • Reynolds number determines the flow character of a liquid

Reynolds Number Proportionality

  • Reynolds number is proportional to the speed of movement of a liquid

Moment of Inertia Determination

  • Moment of inertia cannot be determined with the given conditions

Analogy to Mass in Rotational Motion

  • The moment of inertia is analogous to mass in the equation of the dynamics of rotational motion

Definition of Flow

  • Flow is defined as fluid motion

Definition of Liquid Flood

  • Liquid flood is defined as tangent lines at each point, directed in the direction of motion of the liquid particles

Kinetic Energy of Rotating and Moving Body

  • The kinetic energy of a body rotating and moving forward in a plane is given by: Icω²/2 + mv²/2

Moments of Inertia Relationship

  • In the described scenario, the moments of inertia are related as: I₁ = I₂ = I₃

Impact of Inertia and Angular Velocity on Impulse-Momentum

  • When the moment of inertia and angular velocity of an object both increase by a factor of 2, the object's impulse-momentum increases 4 times

Moments of Inertia of Disk and Cylinder

  • The moment of inertia of a solid sphere in the sphere equals I(sphere) is equal, whereas in the equation for dynamics for cylinderical inertia, it says, I(sphere) > I(d)

Formula for Kinetic Energy

  • The formula T = (Icω²/2) + (mv²/2) determines the kinetic energy of an object rotating and moving forward in a plane

Laminar Flow of Liquid

  • Laminar flow of liquid is characterized by maintaining an orderly arrangement of fluid particles

Turbulent Flow Regime

  • Turbulent flow is characterized by unsystematic movement of liquid particles inside the pipe

Vector Quantity Identification

  • Displacement is a vector quantity

Raindrop Movement

  • Raindrops initially increase speed and then accelerate as air resistance balances gravity

Object Movement with Right Angle Velocity and Acceleration

  • An object with velocity and acceleration at a right angle moves uniformly along the circumference

Velocity Modulus Comparison

  • With respect to body 1, the modulus of the velocity of body A is the largest, given equal velocity moduli

Motion Graph Depiction

  • It is decreasing by decreased acceleration

Vector Indicating Angular Velocity

  • Vector 4 indicates the direction of angular velocity

Direction of Moment of Force

  • Vector 3 correctly describes the direction of the moment of force F

Vector from Coordinate System Center

  • The vector drawn from the center of the coordinate system to any point is called a radius-vector

Trajectory with Zero Net Force

  • The trajectory of a ball with a vector sum of zero for all forces acting on it in an inertial calculation system is rectilinear

Pedestrian Displacement

  • The displacement of the pedestrian is 4 km

Validity of Newton's Laws

  • Newton's laws are not applicable to non-inertial calculation systems

Meaning of Negative Gradient of Potential Energy

  • F = -gradEp represents the relationship between the force acting on a body and the potential energy of the particle

Meaning of Formula with Integral

  • A = ∫ FsdS = ∫ FcosαdS represents the work done by a variable force on path S

Earth's Gravitational Pull Reaction

  • If the gravitational pull of the Earth on a textbook is the action, the reaction is the pull of the book on the Earth

Work Done by Tangential Force

  • The work done by a constant force of 5N tangentially applied to a solid sphere with a 1 cm radius, making one revolution, is 0.314 J

Momentum of Material Point with Given Law

  • The momentum of a material point equals p = 5tỉ + 1.5t²j (kg·m/sec) where the modulus of the force acting on the material point in time t=4 seconds, which equals 13N

Work Done by Force

  • The work done by the force is approximately equal to 23

Acceleration Sequence for Uniform Motions

  • The correct sequence of increasing acceleration is a₂x < a₁x < a₃x

Ball's Acceleration During Harmonic Dance

  • The ball's acceleration is perpendicular to the handle when the mathematical dancer's handle is maximally inclined

Incorrect Statement to Select

  • Note there is no extractable incorrect statment provided in the text

Quantity Determined by Formula:

  • The quantity determined by the formula: T = (I(cw)^2/2) + (mv^2/2) is the kinetic energy of an object rotating and moving forward in a plane at the same time.

Laminar Flow Characteristics:

  • Laminar flow is characterized by maintaining an orderly arrangement of fluid particles.

Characteristics of Turbulent Flow Regime:

  • Turbulent flow is characterized by unsystematic movement of liquid particles inside the pipe.

Vector Quantity:

  • displacement is a vector quantity.

Movement of Raindrops

  • Raindrops first increase, then accelerate as air resistance balances gravity.

Object Motion with Perpendicular Velocity and Acceleration:

  • When the velocity and acceleration of an object at a given time form a right angle, it moves uniformly along the circumference.

Velocity Modulus:

  • The velocity of body A is largest (given velocities are equal) with respect to body 1.

Motion Graph:

  • The motion graph depicts decreasing by decreased acceleration.

Direction of Angular Velocity for Rotating Wheel:

  • If a force acts on the rim and wheel is rotating, vector indicating direction of angular velocity is 4

Direction of Moment of Force:

  • The correct vector is 3

Vector Drawn from Center of Coordinate System:

  • This is the radius-vector.

Trajectory of Ball with Zero Net Force:

  • Trajectory is rectilinear.

Pedestrian's Displacement:

  • 4 km

Newton 1st and 2nd Laws:

  • The Newton's First and Second laws aren't paid in any non-inertial calculation systems

Force and Potential Energy:

  • The relationship with the force acting and the work done of the particle

Variable Force and Path:

  • Force on the path (S).

Gravitational Pull - Reaction

  • Is the pull of you book on Earth.

Constant force, find the work done

  • 0.314 C

Determine the law based on an equation

  • p= 5ti + 1.5t2j 1.5t2j, the modulus (in newtons) of the force acting on the material point in time t=4 seconds?

Determine the object based on the figure.

  • p = 5ti + 1.5t2j 1.5t2j, a3x < a1x < a3x

Ball's acceleration

  • Perpendicular to the handle

Choose the incorrect statement:

  • (no wrong statement shown)

Which quantity is described by the formula?

:

Formula for Kinetic Energy:

  • The right option is: T = 1cw2/2 + mv2/2

Laminar Flow:

  • by maintaining an orderly arrangement of fluid particles

Turbulent Flow:

  • Unsystematic movement of liquid particles inside the pipe

Vector Quantity;

  • displacement

Movement of Raindrops:

  • Increasing then gravity resists which balances the gravity.

If Velocity/Acceleration at Right Angles:

  • Uniform along the circumference

Velocity direction:

  • Largest on body

Acceleration graph:

  • Decreasing with decreased acceleration

Formula on the rim of the wheel:

  • F with the direction of its velocity,4

Wheel Rotates:

  • 3 is direction of the moment force F.

Vectors drawn from central location:

  • Radius vectors

System in motion:

  • is rectilinear.

Pedestrian location with radius:

= 4 KM

Newtons laws

  • Are voided :

What determines formula

Relationship acting with particles.

Work done, what is equal?

50% and 2 x times. A = sf ds integral

If gravity pulls on Earth, on your book?

Gravity pulls, book on Earth

Isothermnal proccess

  • 2x.

What's the expression

Ic wsquared

04: 3-D (

) Main chart, for a set amount

Motion described as

Tanget motion.

A wave means what

Complex trajectiory

If a Mass given mass with increase oscillation

Increase 2x

Numerical Damping Coefficent:

  • Does not depend on specific properties

Symbols correspondence:

1 - a; 2 - v; 3 - b; 4 - d; 5 – q

Equal phase to wave:

= ot

Cylinders with mass:

Find correct equations/

Reynolds number:

  • Find reynolds equation

Find amplitude

  • 9cm.

Find Amplitude the formula

  • 8cm

How many times is amptitude.

  • Four times.

Traveling to period;

  • 2cm

Displacement and laws:

Harmonic motion

50 is displaced • 50 is displaced • 0.82

Match The Laws

  • c; 2 - d; 3 – a; 4 e; 5 - b

The dependence of the universal equation:

Find the number degrees of freedom in which:

  • Atomic bonds should not be considered. 5 is right

Distribution

  • Boltsam

What type of perpindium?

  • Thermal dynamic

Gas pressure?

Kinetic energy of its

Weight stone:

The internal energy increases for two

Heat energy:

  • gas capacity is the amount of heat with capacity of • gas capacity is the amount of heat with capacity of

Average with Kinetic gas energy:

  • formula to get the temperature A: 3

The average energy for a mode:

  • a gas is based, with forward energy mode with energy of an oxygen molecule

14k of heat to a gas?

  • Which is the average correct heat

Durning which process?

  • The internal energy of isochoric heat?

What does an expression show?

  • the molecules of state (1)

What kind of volume, has done:

  • Work 300c+Internal +300c

Temperature is what?

  • Parameter

Constant Cycle gas at High

  • The cycle heat/peramters is.

Newtons LAW:

  • Friction.

Which =heat ?

  • Which =heat ?

Internal gas ?

Manidvels equation what this??

Heat transfer from what degree/what location?

How can different temperatures?

Mass total.

k what's measured?

The relation energy:

To conserve what energy?

If what energy flows from object/source?

Ideal gas

  • Is True?

How is System energy relation:

System equals the energy to or from heat and energy.

How is law thermodynamics stated?

Energy what formula?

Fluciuate and increase,

Tend to.

What Thermodymamics is?

Heat and work.

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