The slender g bar AB is horiontal and at rest. The spring has an unstretched length sof1mand a spring constant of 15 N/m the length of the bar AB is 1.Sm Find the anplar velocity when -45 when the bar has rotate clockwise -45 after being released. Give your answer with 2 decimals and include the sign

The rod AB has a mass of 36 kg and a length of 1.9m. The spring is unstretched when 0- 45°. The spring constant k is 226 N/m. B Find the angular velocity of rod AB at 0 - 0. if the rod is released from rest when 0. 45°. Give your answer with 2 decimals.

-10 10 40 a. Find the volume of the parallelepiped whose edges are represented by A = 2i - 3j + 4k, ii. B = 1+ 2) - k, C = 31 - 1 + 2k . b. The angular velocity of a rotating rigid body about an axis of rotation is given by ai = 4i +j - 2k. Find the linear velocity of a point P on the body whose position vector relative to a point on the axis of rotation is 2i-3j+k. ii. Find the moment of inertia tensor from the given picture. 300 mm P.T.O. iv. Given point P = (1, -2, 3) and vector A = yz i+x1- yx k , express this vector in cylindrical coordinate system. V. a. Show that the contraction of the outer product of the tensors AP and B, is an invariant. b. Show that every tensor can be expressed as the sum of two tensors, one of which is symmetric and the other skew-symmetric in a pair of covariant or contra variant indices. vi. The 4-oz top with radius of gyration about its spin axis of 0.62 in. is spinning at the rate p = 3600 rev/min in the sense shown, with its spin axis making an angle…