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Engineering Mechanics Miscellaneous

Engineering Mechanics

  1. 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 ______.'
    1. 7.5
    2. 7.8
    3. 7.7
    4. 7.6
Correct Option: A


TI-C = TI-C

⇒ Mgx
L
cos45° =ICM +
ML2
α
24

⇒ Mg
L
cos45° =
ML2
+
ML2
α
2124

α =
3g
cos45°
2L

α =
30
+
1
∴ g = 10
m
2 × V2V2s2

α = 7.5
rad
s2



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