Tom and Jerry both push on the 2.90-m-diameter merry-go-round shown in (Figure 1
ID: 1442271 • Letter: T
Question
Tom and Jerry both push on the 2.90-m-diameter merry-go-round shown in (Figure 1) . Tom pushes with a force of 52.5 N and Jerry pushes with a force of 34.0 N .Figure 1 of 1
What is the net torque on the merry-go-round?
Express your answer to three significant figures and include the appropriate units.
34.75Nm
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Part B
What is the net torque if Jerry reverses the direction that he pushes by 180 without changing the magnitude of his force?
Express your answer to three significant figures and include the appropriate units.
228.95Nm
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Figure 1 of 1
Basically I have already asked this question and got either the wrong answer or the wrong value/ units.
Please I need the right answer
=34.75Nm
Explanation / Answer
a)
Call the counterclockwise direction positive
Torque is the sum of the force components tangent to the merry go round times the distance from the center of
rotation.
r = 1.45m
Tom ---> 52.5cos 30(1.45) = 65.92 kg m/s
Jerry---> -34(cos10)(1.45) = -48.55 kg m/s
Total Torque = 66.25 - 53.9 = 17.36 kg m/s
b)
If Jerry reverses his force his torque becomes positive
Jerry ---> 34(cos10)(1.45) = 48.55 kg m/s
Total Torque = 66.25 + 53.9 = 114.47 kg m/s