A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L = 1.1 m. The bob is set into motion and its angular displacement is given by 0(t) = 0.11cos(wt), where e is in radians and t is in seconds. Take g = 9.8 m/s^2, determine the mechanical energy of this %3D pendulum. O 0.046 J 0.085 J O 0.066 J 0.090 J 0.052 J

For the shown system: θ = 54 ∘, k = 640 N/m , m = 3 kg , and the unstretched spring length is 290 mm .  It is released from rest from the shown position; answer the following 1) Part A: Calculate the work of the spring force at θ=0∘. 2) Part B: Determine the angular velocity of the rod at θ=0∘. 3) Part C: Determine the angular acceleration of the rod at θ=0∘.

Question 25 part b.

A spring with spring constant 29 N/m is compressed a distance of 9.0 cm by a ball with a mass of 206.5 g (see figure below). The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated, using a block instead, with a mass identical to that of the ball. The block compresses the spring by 9.0 cm and is also released, leaving the spring at point A. Each object travels up the incline shown in the figure before coming to rest momentarily. Assume the ball rolls, but ignore other effects of friction. (Assume the ball rolls without slipping up the incline until it comes to rest.)   (a) How high above the starting position is the ball when it comes to rest momentarily? m(b) How high above the starting position is the block when it comes to rest momentarily?