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=10m/s2.
A
18N
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B
12N
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C
36N
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D
24N
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Solution
The correct option is D24N 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)