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A rigid massless rod AB of length I m is placed horizontally on two rigid supports at its ends as shown in figure. A weight l0 N is hung from a point C at a distance 30 cm from A. Find the reactions at the supports A and B respectively.

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5 N, 5 N

3 N, 7 N

10 N, 0 N

7 N, 3 N

answer is D.

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Detailed Solution

$R_{1} + R_{2} = 10$

$\sum_{} τ_{A} = 0 \Rightarrow R_{2} \times 1 - 10 \times 0.3 = 0$

$\Rightarrow R_{2} = 3 N, R_{1} = 10 - R_{2} = 10 - 3 = 7 N$

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