A uniform rod AB is hinged about A and is free to rotate in ver sitical plane about an horizontal axis through A Initially it is held horizontally and released. Let a1 & a2 be the magnitudes of acceleration of the end B of the rod when the rod is horizontally and vertical respectively. Find a2/a1
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Explanation:
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By parallel axis Theorem, MOL of rod
about hinge is
I0=12mL2+m(4L)2=487mL2
When rod reaches the vertical position
the center of mass of rod falls by
L/4
By consecration of energy
mg(4L)=21×I0w2
4mgL=21×487mL2w2
∴w=7L24g
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