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A pin jointed uniform rigid rod of weight W and length L is supported horizontally by an external force F as shown in the figure below. The force F is suddenly removed. At the instant of force removal, the magnitude of vertical reaction developed at the support is
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- zero
- W/4
- W/2
- W
Correct Option: B
I = | L2 ; W × | Iα ⇒ α = | ||||
3 | g | 2 | 2L |
∴ Linear acceleration at centre = α × | = | ||
2 | 4 |
∴ Inertial force at centre = | W | |
4 |
∴ Reaction at support = W – | = | ||
4 | 4 |