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Questions  

Two smooth spheres each of radius 5 cm and weight W rest one on the other inside a fixed smooth cylinder of radius 8 cm. The reactions between the spheres and the vertical side of the cylinder are:

a
W4  and 3W4
b
W4 and W4
c
3W4 and 3W4
d
W and W

detailed solution

Correct option is

The FBD's of A and B are:for the horizontal equilibrium of the system (A and B):NAW = NBW -------(l)and by diagrams:cos θ = 610 ⇒ θ = 530applying NLM on sphere,B.⇒ NABsin θ = wand NBW = NAB cos θ = w(45)×35 = 3w4so NAW = NBW = 3w4

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