TORQUE AND STATIC EQUILIBRIUM ✏

What is torque?

For rotational motion, the torque is what is most directly related to the motion, not the force.

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Torque is created when the line of action of a force does not pass the center of rotation.

The line of action is an imaginary line that follows the direction of a force and passes through its point of application.

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Meaning

r = radius

F = force

\theta = angle between F and the lever arm

Moment of Inertia, I

Depends on

The mass of the object

The distance between the mass and the axis of rotation

The axis which the object is rotate

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The greater the torque, the greater the angular acceleration

Angular Momentum, L

Angular Momentum = Moment Inertia x Angular Velocity

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Conservation of Angular Momentum

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The total angular momentum of a system remains constant if the net external torque on the system is zero.

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Rotational Kinetic Energy

A rotation object (collection of i points with mass) has a rotational kinetic energy

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Conservation of Energy

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Translational Kinetic Energy

Rotational Kinetic Energy

Vibration Kinetic Energy

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The law of conservation of energy state that the total amount of energy is an isolated system remain constant. A consequence of this law is that energy cannot be created or destroyed.

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