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Moments of Inertia
Energy
Conceptual Questions
100
The moment of inertia of a cylinder with mass 8 [Kg] and radius .25 [m] about its center of mass.

What is .25 [Kg m2]?

100

The kinetic energy of an object with a moment of inertia of 50 [Kg m2] and angular velocity -3.2 [m/s].

What is 256 [J]?
100
The direction of motion of a yo-yo when pulled by its string directly up from the table. (toward, stationary, or away)
What is away?
200

The moment of inertia of a rectangle with mass 12 [Kg] and side lengths 2 [m] and 3 [m] about its corner.

What is 52 [Kg m2]?


200

The mass of a cylinder with radius .5 [m], velocity 4 [m/s], angular velocity -2 [rad/s], total energy 53.625 [J].

What is 6.5 [Kg]?
200

The direction of motion of a yo-yo when pulled by its string parallel to the table. (toward, stationary, or away)

What is toward?

300

The moment of inertia of a weightlifting bar about its center with 4 weights. Bars and weights are 45.0 [Kg] and the bar is 2.20 [m].

What is 236 [Kg m2]?

300

The factor of change in total energy of an object with moment of inertia m*60 [m2], rotating at 5 [rad/s] and moving 10 [m/s] after its speed and rotation speed are doubled.

What is 4?

300

The increase in moment of inertia about a corner of a square of mass m [Kg] and side lengths l [m] when the square is stretched to side 2*l [m] and .5*l [m].

What is 1.875*m*l2? (19/16*m*l2)

400

The factor of difference in the moments of inertia of a rod with mass 12 [Kg] and length 7.25 [m]: the moment of inertia about its end vs the moment of inertia about a point 3/4 down the rod.

What is 2.3? (.44 reciprocal)

400

That maximum height of a ball of mass 50.0 [Kg], radius .300 [m], velocity 6.00 [m/s] after rolling from level ground up a 30 degree incline.

What is 2.57 [m]?

400

Increase, decrease, or stay constant, the final velocity of a very large ball rolling down an incline if the ball radius is halved.

What is increase?

500
The moment of inertia of a L-shaped object with mass 30 [Kg], 3 [m] overall height, 4 [m] overall width, with a 1 [m] width, about its bottom right corner. (refer to diagram)

What is 280 [Kg m2]?

500

The final angular velocity of a 2.0 [Kg] cylinder with radius .20 [m] starting atop a 3.0 [m] high, 4.0 [m] long incline after it reaches the bottom without slipping.

What is 31 [rad/s]?

500
The directions of the torque, angular acceleration, and angular velocity vectors (into or out of page) after a disc begins rolling to the left and up an incline.
What are into, into, and out of the page?