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Question

In the figure shown, find the force exerted by the pulley at the support. Take g=10 m/s2 and assume that all surfaces are smooth.

A
21 N
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B
42 N
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C
212 N
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D
212 N
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Solution

The correct option is C 212 N
a=Supporting ForceTotal mass=3g10=3 m/s2

T=7a=7×3=21 N
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=212 N

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