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Question

A rigid massless rod AB of length 1m is placed horizontally on two rigid supports at its ends as shown in figure. A weight 10N is hung from a point C at a distance 30cm from A. Find the reactions at the supports A and B respectively.
1116242_4c5e1cc627fd407abd99328c03f0806d.png

A
5 N,5 N
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B
3 N,7 N
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C
10 N,0 N
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D
7 N,3 N
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Solution

The correct option is D 7 N,3 N
10N force is acting downwards. Let the reaction force on Aand B be Ra and Rb respectively which are acting upwards.
Now, since the whole system is in equilibrium.
Moment of forces about point A, i.e., MA=0, or, 10×0.3)+Rb×1=0 or, Rb=3N
Summation of all vertical forces is zero, i.e., Ra10+Rb=0
or,Ra=103=7N
So option(4) is correct

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