A rod AB of weight $W_{2}$ is placed over a sphere of weight $W_{1}$ as shown in figure. If friction is absent, the number of forces to be shown on the sphere in its $F B D$ is/are?

3

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4

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5

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6

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Solution

The correct option is B $4$
FBD of the Sphere: All contact surfaces are tangential. Hence, the normal reaction at each contact passes through the center of the sphere.
FBD of the rod: we can see that $N_{2}$ has horizontal component which can-not be balanced by any other force. This implies that the rod will have an unbalanced net force, and hence, an acceleration towards the right

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W_{1}

W_{2}

W_{2}

W_{1}

F B D

W_{1}

W = 100 N

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