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In San Francisco a very simple technique is used to turn around a cable car when

ID: 2021629 • Letter: I

Question

In San Francisco a very simple technique is used to turn around a cable car when it reaches the end of its route. The car rolls onto a turntable, which can rotate about a vertical axis through its center. Then, two people push perpendicularly on the car, one at each end, as shown in the drawing. The turntable is rotated one-half of a revolution to turn the car around. If the length of the car is 9.00 m and each person pushes with a 165-N force, what is the magnitude of the net torque applied to the car?

Explanation / Answer

the car rotates about its middle. The lever arm of each person is half the lngth of the car. The force is perpendicular so sin theta = 1. Torque = torque from each person = 4.5m*165N + 4.5m*165N = 1,485 N

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