IMAT 2013 Q54 [Moments]

A uniform beam, 3.0m long, of weight 100N has a 300N weight placed 0.50m from one end. The beam is suspended by a string 1.0m from the same end.

A diagram of the weights placed on the beam is given below:

image

How far from the other end must a weight of 80N be placed for the beam to be balanced?

A. 0.75m
B. 2.25m
C. 1.25m
D. 1.875m
E. 0.125m