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Question

Find the force exerted by spring on the wedge shown in the figure. Assume that mass M is in equilibrium (all surfaces are smooth).Take g=10 m/s2.


A
18 N
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B
12 N
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C
36 N
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D
24 N
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Solution

The correct option is D 24 N
From FBD of wedge


Applying equilibrium condition for wedge in horizontal direction:

Ncos53=kx ......(i)

Block's acceleration to inclined plane =0, equating forces acting on block (perpendicular to the inclined plane)


N=mgcos37 .......(ii)
Putting (ii) in (i)

kx=mgcos37.cos53

kx=5×10×0.8×0.6
kx=24 N
Hence spring force =kx=24 N

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