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A thin uniform rod of length l is rotated with constant angular speed `w` about an axis passing through its one end and perpendicular to the length of the rod. Find the increase in the length. [Density of material of rod is p and Young`s modulus is Y.

A thin uniform rod of length l is rotated with constant angular speed `w` about an axis passing through its one end and perpendicular to the length of the rod. Find the increase in the length. [Density of material of rod is p and Young`s modulus is Y.

Grade:12th pass

1 Answers

Vikas TU
14149 Points
7 years ago
Balancing the the eqns. in horizontal direction we get,
Yx = mw^2(l+x)
on solving we get,
x = mw^2l/(Y – mw^2) meter.

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