Two solid disks, which are free to rotate independently about the same axis that

ID: 2295215 • Letter: T

Question

Two solid disks, which are free to rotate independently about the same axis

that passes through their centers and perpendicular to their faces, are initially at

rest. The two disks have the same mass, but one of has a radius R and the other

has a radius 2R. A force of magnitude F is applied to the edge of the larger

radius disk and it begins rotating. What force must be applied to the edge of the

smaller disk so that the angular acceleration is the same as that for the larger

disk? Express your answer in terms of the force F applied to the larger disk.

a) 0.25F

b) 0.50F

c) F

d) 1.5F

e) 2F

Two solid cylinders are rotating about an axis that passes

through the center of both ends of each cylinder. Cylinder A has

three times the mass and twice the radius of cylinder B, but they

have the same rotational kinetic energy. What is the ratio of the

angular velocities, ?A/?B

, for these two cylinders?

a) 0.25

b) 0.50

c) 1.0

d) 2.0

e) 4.0

A 1.0-kg wheel in the form of a solid disk rolls along a

horizontal surface with a speed of 6.0 m/s. What is the total

kinetic energy of the wheel?

a) 9.0 J

b) 18 J

c) 27 J

d) 36 J

e) 54 J

Im trying to finish a test study guide just need some help and clarification!

Explanation / Answer