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What is rotational inertia of a particle?
mR2
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What is the Torque which gives rise to angular acceleration?
RF aka mR2α
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What is another name for the rotational Inertia?
Moment of Inertia
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What are three ways to write the magnitude of torque about a given axis?
R┴F , RF┴ , RF sin Θ
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What is the point of ┴ in R┴F , RF┴?
The ┴ reminds us to consider the Radius or Force perpendicular to the axis of rotation.
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How do you calculate Net Force with more than one force acting on the object?
T1 + T2...
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If a force causes an object to rotate clockwise, is the Torque positive or negative?
Negative.
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How is the length of the Lever arm (R) determined?
Distance from the center of mass (Absolute).
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If a Force is applied to the axis of rotation what is the Torque?
Zero, because the Lever Arm Length is 0.
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What is the rlationship between mass and inertia?
inertisa plays the same role for rotational motion as mass does for translational motion
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For rotational motion can the mass be considdered as concentrated at the Center of Mass?
No
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Is the moment of inertia formula the same for all shapes?
No, the moment of inertia changes with the shapes of various objects.
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What is the Moment of inertia for a thin hoop with axis of rotation at center?
MR2
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Moment of inertia for thin hoop, axis through center, with width w?
1/2 MR2 + 1/12 Mw2
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Moment of Inertia for Solid cylinder rotated through CM?
1/2 MR2
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Moment of Inertia for Sphere through CM?
2/5 Mr2
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