The magnitude of the velocity at the other end of the rod is

Question

A straight rod length L(t), hinged at one end freely extensible at the other end, rotates through an angle $\Theta$(t) about the hinge. At time t, L(t) = 1m, $\dot{L}$(t) = 1m/s, $\Theta$(t) = $\pi$/4 rad and $\dot{\Theta }$(t) = 1 rad/s. The magnitude of the velocity at the other end of the rod is                                                                                                                               

      (a) 1 m/s                                                             (b)  $\sqrt{2}$ m/s

      (c)   $\sqrt{3}$  m/s                                                    (d) 2 m/s

Answer 1

Velocity at the other end of the rod is  √2 m/s