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You are a gymnast on a high bar, and start in a position that is 90 degrees from

ID: 2114190 • Letter: Y

Question

You are a gymnast on a high bar, and start in a position that is 90 degrees from vertical in a fully extended position with no angular velocity. Assume your COM is located at the position calculated in 0.543, and the radius of gyration for your body is 0.1m further from the bar than your COM:

a) State your mass, the distance of your COM from the bar, and the radius of gyration of your body

b) Calculate the torque created about the bar for every 30 degrees of rotation until the rotation stops or changes direction (hint: when angular velocity changes direction). Assume that friction is producing a constant torque of 30Nm as you rotate around the bar. Show all work.

c) Calculate the angular velocity at each position at each position assuming that the torque from the previous position is applied for 0.1 seconds.

d) Draw the free body diagram for each position (they can all be on one diagram). Report all values in a table (angular position, torque, angular velocity)

e) Recalculate the ascending phase of the swing but assume that you take a pike position which moves your COM 0.2m closer to the bar. The radius of gyration will also reposition to 0.1m further from the bar than your COM.

f) Report the new distances (COM, k) for the pike position. Place the ascending data beside the original data in your table. Briefly explain the reason for the differences you found.

Explanation / Answer

mass would be 1000 kmgs torque is 45nms angular velocity 33