A 400 g mass, m 1 , is balanced at the end of a 100 g meter stick as shown. If r

Question

A 400 g mass, m1, is balanced at the end of a 100 g meter stick as shown. If r1 is increased, the system rotates counterclockwise. Assume the center of mass of the meter stick is at the 50 cm mark and m1 is at the 0 cm mark.

46. The clockwise torque is supplied by the meter stick...(True or False) please explain

47. The value of r1 (in cm) is...

48. The value of the counterclockwise torque (in Nm) is...

A 400 g mass, m½1, is balanced at the end of a 100 g meter stick as shown. If r½1 is increased, the system rotates counterclockwise. Assume the center of mass of the meter stick is at the 50 cm mark and m½1 is at the 0 cm mark. 46. The clockwise torque is supplied by the meter stick...(True or False) please explain 47. The value of r1 (in cm) is... 48. The value of the counterclockwise torque (in Nm) is...

Explanation / Answer

Part A)

True - The CG of the meterstick is beyond the balance point and provides the counter torque to the mass. The mass would rotate it counterclockwise, so the Meter Stick provided the Clockwise balancing torque

Part B)

400(r1) = (100)(r2)

r1 + r2 = 50, so...

400r1 = 100(50 - r1)

400r1 = 5000 - 100r1

r1 = 10 cm

Part B)

Torque = .4(.1) = .04 Nm

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