As a torque activity, your Physics TA sets up the arrangement shown below. A uni

Question

As a torque activity, your Physics TA sets up the arrangement shown below.

A uniform rod of mass mr = 113 gand length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r1 = 10.0 cm and r2 = 90.0 cmmark, passed over pulleys, and masses of m1 = 271 g and m2 = 157 are attached. Your TA asks you to determine the following.

(a) The position r3 on the rod where you would suspend a mass m3 = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle ?F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative).

Explanation / Answer

a) 0.200*r3*g + 0.50*0.113*g = 0.271*0.1*g + 0.157*0.9*g
r3 = 55.95 cm
Fp= 0.200*9 .81 = 1.962 N

Angle of force = 270 degree ( from horizontal)

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