In the figure shown, find the force exerted by the pulley at the support. Take g=10m/s2 and assume that all surfaces are smooth.
A
21N
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B
42N
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C
21√2N
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D
21√2N
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Solution
The correct option is C21√2N a=Supporting ForceTotal mass=3g10=3m/s2
T=7a=7×3=21N
Since the tensions act tangentially at the pulley while force at the support makes equal angle with both the tensions i.e. 45∘
Therefore, force exerted by the pulley at the support, Fcos45∘=T ⇒F=21√2N