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The rod PQ of length L = 2 m and uniformly distributed mass of M = 10 kg, is released from rest at the position shown in the figure. The ends slide along the friction less faces OP and OQ. Assume acceleration due to gravity, g = 10 m/s2. The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (ML2/12). At this instant, the magnitude of angular acceleration (in radian/s2) of the rod is ______.'
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- 7.5
- 7.8
- 7.7
- 7.6
Correct Option: A
TI-C = TI-C
⇒ Mgx | cos45° = | ICM + | α | ||||
2 | 4 |
⇒ Mg | cos45° = | + | α | |||||
2 | 12 | 4 |
α = | cos45° | 2L |
α = | + | ∴ g = 10 | |||||
2 × V2 | V2 | s2 |
α = 7.5 | s2 |