Podcast
Questions and Answers
The overall force vector is referred to as the ______.
The overall force vector is referred to as the ______.
resultant vector
A force should be slid along its line of ______.
A force should be slid along its line of ______.
action
The individual parts of a vector along the x and y axes are called ______.
The individual parts of a vector along the x and y axes are called ______.
components
The term 'LOA' is an abbreviation for 'Line of ______'.
The term 'LOA' is an abbreviation for 'Line of ______'.
The decomposition of a force vector into its x and y components is known as ______ components.
The decomposition of a force vector into its x and y components is known as ______ components.
The 'extern' effect is typically associated with ______ forces.
The 'extern' effect is typically associated with ______ forces.
The ______ coordinate system is used to define points in two dimensions.
The ______ coordinate system is used to define points in two dimensions.
Understanding the principles of ______ is essential for mechanics.
Understanding the principles of ______ is essential for mechanics.
In the formulas, F_x is calculated using the formula F_x = F ______ theta.
In the formulas, F_x is calculated using the formula F_x = F ______ theta.
For correct analysis, apply a force along its line of ______.
For correct analysis, apply a force along its line of ______.
The x-component of a force vector is calculated using the formula Fx = F * cos ______
The x-component of a force vector is calculated using the formula Fx = F * cos ______
The magnitude of a force vector can be found using the formula F = √(Fx² + ______²)
The magnitude of a force vector can be found using the formula F = √(Fx² + ______²)
When combining multiple forces, the resultant vector R is given by the vector sum of individual force vectors: R = F1 + F2 + ______
When combining multiple forces, the resultant vector R is given by the vector sum of individual force vectors: R = F1 + F2 + ______
The size or how large something is referred to as its ______.
The size or how large something is referred to as its ______.
To find the angle θ in relation to the components, the formula Θ = tan⁻¹(Fy/______) is used.
To find the angle θ in relation to the components, the formula Θ = tan⁻¹(Fy/______) is used.
The ______ of a vector refers to the orientation or direction it points.
The ______ of a vector refers to the orientation or direction it points.
First, draw a ______ to help visualize the force application.
First, draw a ______ to help visualize the force application.
Vectors can be added using the ______ rule.
Vectors can be added using the ______ rule.
The equation for the Law of Cosines is ______.
The equation for the Law of Cosines is ______.
It is important to identify the horizontal and vertical ______ of a force.
It is important to identify the horizontal and vertical ______ of a force.
A ______ vector has a magnitude, direction, and its point of application cannot be changed.
A ______ vector has a magnitude, direction, and its point of application cannot be changed.
The signs (+ or -) determine the ______ of the components along the x and y axes.
The signs (+ or -) determine the ______ of the components along the x and y axes.
Geometry can be used to find the precise ______ of the force components.
Geometry can be used to find the precise ______ of the force components.
In the equation, $F_{x} = F_{a} ext{cos} 38^{ ext{°}}$, the angle is measured in ______.
In the equation, $F_{x} = F_{a} ext{cos} 38^{ ext{°}}$, the angle is measured in ______.
In SI units, mass is measured in ______.
In SI units, mass is measured in ______.
According to Newton's 2nd Law, Force is equal to mass times ______.
According to Newton's 2nd Law, Force is equal to mass times ______.
The Law of Sines relates the lengths of sides of a triangle to the ______ of its angles.
The Law of Sines relates the lengths of sides of a triangle to the ______ of its angles.
According to the 1st Law of Newton, the sum of forces acting on an object at rest is ______.
According to the 1st Law of Newton, the sum of forces acting on an object at rest is ______.
In significant figures, if the first digit of the final solution is 4, you should use ______ significant figures.
In significant figures, if the first digit of the final solution is 4, you should use ______ significant figures.
To begin solving a problem, the first step is to draw a ______.
To begin solving a problem, the first step is to draw a ______.
The vector $F_0$ is shown in a ______ coordinate system.
The vector $F_0$ is shown in a ______ coordinate system.
After drawing the box, the next step is to identify the ______.
After drawing the box, the next step is to identify the ______.
The angle between vector $F_0$ and the xz-plane is ______ degrees.
The angle between vector $F_0$ and the xz-plane is ______ degrees.
The x component of the vector is calculated using the equation $F_{bx} = F_0 imes ______(30)$.
The x component of the vector is calculated using the equation $F_{bx} = F_0 imes ______(30)$.
Determining the signs of the components involves deciding if they are ______ or negative.
Determining the signs of the components involves deciding if they are ______ or negative.
The formula for the x-component of vector F_b is F_{bx} = F_{b} imes ext{sin}(28^{ extcirc}) and for the y-component is F_{by} = F_{b} imes ext{cos}(28^{ extcirc}). The angle used is ______.
The formula for the x-component of vector F_b is F_{bx} = F_{b} imes ext{sin}(28^{ extcirc}) and for the y-component is F_{by} = F_{b} imes ext{cos}(28^{ extcirc}). The angle used is ______.
The y component of the vector is calculated with the equation $F_{by} = F_0 imes ______(30)$.
The y component of the vector is calculated with the equation $F_{by} = F_0 imes ______(30)$.
The angle between the positive x-axis and vector F_b is ______.
The angle between the positive x-axis and vector F_b is ______.
The different angles noted are important for determining the ______ of the force vector.
The different angles noted are important for determining the ______ of the force vector.
The horizontal component is calculated using ______ functions.
The horizontal component is calculated using ______ functions.
The force vector is acting at an angle of ______ degrees.
The force vector is acting at an angle of ______ degrees.
The formula for the vertical component is expressed as ______ 200 cos 70.
The formula for the vertical component is expressed as ______ 200 cos 70.
The calculation for the horizontal component is represented by Fx = + 200 ______ 70.
The calculation for the horizontal component is represented by Fx = + 200 ______ 70.
The component 'n' is calculated using the formula Fn = + 200 ______ 50.
The component 'n' is calculated using the formula Fn = + 200 ______ 50.
Flashcards
SI Units for Mass
SI Units for Mass
Kilograms (kg)
Newton's 2nd Law
Newton's 2nd Law
Force equals mass times acceleration (F = ma)
Significant Figures (Sig Figs)
Significant Figures (Sig Figs)
Rules: Evaluate final answer & Don't round in-between, 3 sig if <4, 4 sig if >3
Vector Addition (hint)
Vector Addition (hint)
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Law of Cosines formula
Law of Cosines formula
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Vector Magnitude
Vector Magnitude
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Vector Direction
Vector Direction
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Force as a Vector
Force as a Vector
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Vector Addition (Parallelogram)
Vector Addition (Parallelogram)
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Free Vector
Free Vector
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Transmissibility of forces
Transmissibility of forces
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Line of Action (LOA)
Line of Action (LOA)
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External effect
External effect
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Rigid body
Rigid body
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Force application
Force application
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Resultant Vector
Resultant Vector
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2D Force Components
2D Force Components
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Force Component Formulas
Force Component Formulas
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Rectangular Components
Rectangular Components
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Cartesian Coordinate System
Cartesian Coordinate System
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Force Vector Decomposition
Force Vector Decomposition
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Horizontal Component (Fx)
Horizontal Component (Fx)
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Vertical Component (Fy)
Vertical Component (Fy)
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Angle (θ)
Angle (θ)
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Trigonometry (sin, cos)
Trigonometry (sin, cos)
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What is the first step in solving physics problems?
What is the first step in solving physics problems?
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What is the purpose of identifying the components of a force?
What is the purpose of identifying the components of a force?
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How to find the magnitude of a force component?
How to find the magnitude of a force component?
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What geometries are useful for vectors?
What geometries are useful for vectors?
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What is the role of trigonometry in physics?
What is the role of trigonometry in physics?
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Finding X-Component
Finding X-Component
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Finding Y-Component
Finding Y-Component
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Magnitude of Force Vector
Magnitude of Force Vector
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Resultant Force
Resultant Force
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Vector Components
Vector Components
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3D Vector Components
3D Vector Components
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Angles in Vector Components
Angles in Vector Components
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Calculating Vector Components
Calculating Vector Components
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Vector Components in Engineering
Vector Components in Engineering
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Trigonometry for Components
Trigonometry for Components
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Angle in Component Calculations
Angle in Component Calculations
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