Question

A beam AB of length 2m hinged at A and supported at B by a cord which passes over two frictionless pulleys, carries a 50kN load as shown in the figure. Determine the position of 100kN load on the beam if it is to remain in equilibrium in horizontal position. Also determine the reaction at the hinged end.​

Answer 1

Answer:

First consider the free body diagram of block Q, From the fig.(b)

2T = Q, T = Q/2

i.e tension in the rope = Q/2

Now consider the F.B.D. of the beam as shown in fig(c) Here two forces are acting force ‘P’ at a distance ‘X’ from point ‘A’ and T = Q/2 at a distance ‘l’ from point ‘A’

Taking moment about point ‘A’, i.e. ∑MA = 0

P X x = Q/2 X l

X = QL/2p.

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