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Chapter 12: Q. 32 (page 331)
A 5.0 kg cat and a 2.0 kg bowl of tuna fish are at opposite ends of the 4.0-m-long seesaw of FIGURE EX12.32. How far to the left of the pivot must a 4.0 kg cat stand to keep the seesaw balanced?
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A V -diameter turntable rotates at on frictionless bearings. Two blocks fall from above, hit the turntable simultaneously at opposite ends of a diameter, and stick. What is the turntable's angular velocity, in rpm, just after this event?
The 5.0 kg, 60-cm-diameter disk in FIGURE P12.72 rotates on an axle passing
through one edge. The axle is parallel to the floor. The cylinder is held with the
center of mass at the same height as the axle, then released.
a. What is the cylinder鈥檚 initial angular acceleration?
b. What is the cylinder鈥檚 angular velocity when it is directly below the axle?
A kg ball on the end of a lightweight rod is located at where the axis is vertical. The other end of the rod is attached to a pivot at . What is the torque about the pivot? Write your answer using unit vectors.
A 75 g, 6.0-cm-diameter solid spherical top is spun at 1200 rpm on an axle that extends 1.0 cm past the edge of the sphere. The tip of the axle is placed on a support. What is the top鈥檚 precession frequency in rpm?
In FIGURE CP12.88, a 200 g toy car is placed on a narrow 60-cm-diameter track with wheel grooves that keep the car going in a circle. The 1.0 kg track is free to turn on a frictionless, vertical axis. The spokes have negligible mass. After the car鈥檚 switch is turned on, it soon reaches a steady speed of 0.75 m/s relative to the track. What then is the track鈥檚 angular velocity, in rpm?
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