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Chapter 12: Q. 25 (page 331)
An object whose moment of inertia is experiences the torque shown in FIGURE EX12.25. What is the object's angular velocity at ? Assume it starts from rest.
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An 18-cm-long bicycle crank arm, with a pedal at one end, is attached to a 20-cm-diameter sprocket, the toothed disk around which the chain moves. A cyclist riding this bike increases her pedaling rate from 60rpm to 90 rpm in 10s .
a. What is the tangential acceleration of the pedal?
b. What length of chain passes over the top of the sprocket during this interval?
A person’s center of mass is easily found by having the person lie on a reaction board. A horizontal, 2.5-m-long, 6.1 kg reaction board is supported only at the ends, with one end resting on a scale and the other on a pivot. A 60 kg woman lies on the reaction board with her feet over the pivot. The scale reads 25 kg. What is the distance from the woman’s feet to her center of mass?
An athlete at the gym holds a 3.0 kg steel ball in his hand. His BI0 arm is 70 cm long and has a mass of 3.8 kg , with the center of mass 40% at of the arm length. What is the magnitude of the torque about his shoulder due to the ball and the weight of his arm if he holds his arm
a. Straight out to his side, parallel to the floor?
b. Straight, but below horizontal?
Is the center of mass of the dumbbell in FIGURE Q12.1 at point a, b, or c? Explain.
A 200 g, 40-cm-diameter turntable rotates on frictionless bearings at 60 rpm. A 20 g block sits at the center of the turntable. A compressed spring shoots the block radially outward along a frictionless groove in the surface of the turntable. What is the turntable’s rotation angular velocity when the block reaches the outer edge?
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