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Q.

A weightless rod is acted upon by upward parallel forces of 4 N and 2 N magnitudes at end A and B, respectively. The total length of the rod AB = 3 m. To keep the rod in equilibrium, a force of 6 N should act at C in the following manner   

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a

downward at a point C such that AC = 1m. 

b

downward at any point between A and B

c

downward at the mid point of AB

d

downward at a point C such that BC = 1m.

answer is C.

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Detailed Solution

Net moment about point C should be zero.

or

 4x = 23-x  x =1 m

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