Help rotation and tension

Classical Mechanics Level pending

A thin, uniform rod of length \(l\) is rotated with constant angular velocity \(\omega\) about an axis passing through its one end and perpendicular to the length of rod. Find the increase in the length.

Details and Assumptions

  • Density of material = \(d\)
  • Young's modulus = \(Y\)

Find a numerical value for \(\omega = 40 rad/sec\) , \(Y = 2 \times {10}^{11} N/{m}^{2}\), \(d = 10000 kg/{m}^{3}\), \(l = 1.5 m\) and radius of cross section, \(r = 0.1 m\)


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