Question

Tom and Jerry both push on the 3.00 m --diameter merry-go-round shown in (Figure 1) ....

Tom and Jerry both push on the 3.00 m --diameter merry-go-round shown in (Figure 1) . Tom pushes with a force of 47.5 N  and Jerry pushes with a force of 35.5 N .

60o tom, 80o jerry

What is the magnitude of the torque exerted by Tom?

What is the magnitude of the torque exerted by Jerry?

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Answer #1

1) The radius is R = d/2 = 3.0/2 = 1.5m.

apply thr formula for torque T = r x F or r F sin theta


The torque by Tom is Ttom = F_t*R*sin60


Ttom = 47.5 *1.5*sin60 = 61.70 N-m.


The torque by Jerry is Tjerry = Fj*R*sin80

Tj = 35.5*1.5*sin80

Tj = 52.44 N-m

.The net torque is T = T1-T2

T = 61.7 - 52.44

T = 9.26 N*m. and it goes clockwise

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2) The net torque is T = T1 + T2

Tnet = 61.7 + 52.44

Tnet = 114.14 Nm and it goes counterclockwise

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