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Tom and Jerry both push on the 2.80 m --diameter merry-go-round shown in (Figure

ID: 1786181 • Letter: T

Question

Tom and Jerry both push on the 2.80 m --diameter merry-go-round shown in (Figure 1) . Tom pushes with a force of 51.5 N  and Jerry pushes with a force of 35.0 N

Part A is 62.4 N*m (What is the magnitude of the torque exerted by Tom?

Part B is 48.3 N*m (What is the magnitude of the torque exerted by Jerry?)

Part C is ccw, cw (What is the direction of the torque exerted by Tom's and by Jerry's force? Enter your answer by typing "cw" for clockwise and "ccw" for counter clockwise.)

Part D What is the net torque on the merry-go-round? Use the usual sign convention for torque. ** answer is not 23.1 nm

60% 60 80° Tom Jerry

Explanation / Answer

tom's torque is counterclockwise and has magnitude 51.5N sin 60 x 1.40 m = 62.44 nm (1.40 m is the radius of the wheel)

jerry's torque is clockwise and has magnitude 35N sin 80 x 1.40 m = 48.25 nm

the net torque is the difference between the two since they are acting in opposite directions

i.e, 62.44 - 48.25 = 14.18 nm

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