General Physics 1: Equilibrium & Gravity

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Questions and Answers

What is the definition of periodic motion?

Periodic motion is a motion that repeats itself in equal intervals of time.

How is frequency defined in relation to time period?

Frequency is defined as the number of complete cycles per unit time and is inversely related to the time period with the formula $f=1/T$.

What does the restoring force do in oscillatory motion?

The restoring force causes an oscillating object to move back toward its stable equilibrium position.

What is the significance of the variable 'k' in the restoring force formula $F=-kx$?

<p>'k' represents the force constant, which quantifies the stiffness of the spring or restoring system.</p> Signup and view all the answers

Describe a transverse wave and how it differs from other types of mechanical waves.

<p>In a transverse wave, particles of the medium vibrate up and down perpendicular to the direction of the wave.</p> Signup and view all the answers

What is the relationship between torque, rotational inertia, and angular acceleration as described by the equation τ = Iα?

<p>Torque (τ) is the product of the rotational inertia (I) and the angular acceleration (α), indicating how much force is needed to rotate an object.</p> Signup and view all the answers

Explain why torque is considered a vector quantity and how its direction is determined.

<p>Torque is a vector quantity because it has both magnitude and direction, with its direction determined by the direction of the force applied to the axis of rotation.</p> Signup and view all the answers

What does it imply when an object is in a state of equilibrium regarding the forces acting upon it?

<p>When an object is in a state of equilibrium, it indicates that all the forces acting on it are balanced, resulting in no net force or torque.</p> Signup and view all the answers

How does angular acceleration relate to angular velocity and what is its significance in circular motion?

<p>Angular acceleration is the rate of change of angular velocity over time, which is significant in determining how quickly an object speeds up or slows down in circular motion.</p> Signup and view all the answers

What factors contribute to an object's difficulty in acquiring angular acceleration?

<p>An object's difficulty in acquiring angular acceleration is influenced by its rotational inertia, where a larger rotational inertia makes it harder to change its rotational motion.</p> Signup and view all the answers

Flashcards

Periodic Motion

A motion repeated in equal intervals of time.

Period (T)

The interval of time for one cycle of motion.

Frequency (f)

The number of cycles per unit time (usually per second).

Restoring Force

Force that pulls an object back toward its equilibrium position.

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Oscillatory Motion

A motion where a body moves back and forth around a fixed point.

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Torque

A measure of the force that can cause an object to rotate about an axis; it causes angular acceleration.

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Angular Acceleration

The rate of change of angular velocity with respect to time.

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Rotational Inertia

A measure of an object's resistance to changes in its state of rotation.

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Equilibrium

A state where all forces acting on an object are balanced.

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Gravity

The force of attraction between any two masses, bodies, or particles.

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Study Notes

General Physics 1

  • Lesson 1: Rotational Equilibrium and Rotational Dynamics

    • Moment of Inertia: Opposition a body exhibits to changing its rotation speed
    • Moment of inertia depends on mass, rotation axis, and shape.
    • Formula for Moment of Inertia (I) = MR^2 (I= Inertia, M= Mass, R= Radius)
    • Static Torque: Does not produce angular acceleration
    • Dynamic Torque: Does not produce angular acceleration
    • Torque Formula: T= rF sin θ (T= Torque, r= moment arm, F= force, θ= angle between r and F)
  • Lesson 2: Gravity

    • Gravity: Force of attraction between masses
    • Universal Gravitation: All objects attract each other with a force directly proportional to their masses and inversely proportional to the square of the distance between their centers.
    • Formula: F = G(m1m2/r^2) (F= Force, G= Universal Gravitational constant, m1 and m2= masses, r= distance)
    • Gravitational Field: Vector quantity representing gravitational force per unit mass, represented by field lines.
    • Gravity affects an object's speed and direction
  • Lesson 3: Periodic Motion

    • Periodic Motion: Motion repeated in equal intervals of time
    • Oscillatory Motion: Motion back and forth about a fixed position.
    • Period (T): Time for one cycle
    • Frequency (f): Number of periods per second (measured in Hertz)
    • Formula: f= 1/T
  • Lesson 4: Mechanical Waves and Sound

    • Mechanical wave: disturbance that travels through a medium, transferring energy.
    • Transverse wave: particles vibrate perpendicular to the wave direction
    • Longitudinal wave: particles vibrate parallel to the wave direction
    • Surface wave: particles move in circles
    • Properties of mechanical waves: Frequency, amplitude, wavelength, speed.
    • Reflection: wave bounces off a surface
    • Refraction: Bending of a wave as it enters a new medium at an angle
    • Diffraction: Bending of a wave as it passes through an opening or around an obstacle.
  • Lesson 5: Fluid Mechanics

    • Fluids: Substances that flow and change shape under external force
    • Density: mass per unit volume
    • Archimedes' Principle: Buoyant force on an object is equal to the weight of the fluid displaced by the object.
    • Pascal's Principle: pressure change in a confined fluid is transmitted equally to all parts of the fluid
    • Bernoulli's Principle: Higher fluid velocity = lower pressure.
  • Lesson 6: Laws of Thermodynamics

    • Thermodynamics: Relates to heat, work, and energy
    • Zeroth Law of Thermodynamics: Thermal equilibrium between objects
    • First Law of Thermodynamics: Conservation of energy
    • Second Law of Thermodynamics: Entropy of an isolated system never decreases in spontaneous processes
    • Third Law of Thermodynamics: Entropy of a perfect crystal approaches zero as the temperature approaches absolute zero.
  • General Physics Topics:

    • Kelvin-Planck Statement: It is impossible for a system to accept heat from a single reservoir and do an equal amount of work
    • Isobaric Process: Pressure remains constant
    • Adiabatic Process: No heat transfer
    • Isochoric Process: Volume remains constant
    • Isothermal Process: Temperature remains constant
    • Thermal Expansion: Increase in size due to temperature change.
    • Internal Combustion Engine: Fuel burned inside the system
    • External Combustion Engine: Fuel burned outside the system
  • Lesson topics not listed:

    • Speed, Wavelength, Frequency
    • Interference, Constructive Interference, Destructive Interference
    • Standing waves
    • Sound waves
    • Heat Engines, Reversible and Irreversible Process, Internal Energy, Potential Energy, Kinetic Energy

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