Q.

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:

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a

W4  and 3W4

b

W4 and W4

c

3W4 and 3W4

d

W and W

answer is .

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Detailed Solution

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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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: