The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0-34°, 0 = 43 deg/s, and 0 = 28 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane. L B m

A mass that weighs 8 lb stretches a spring 24 inches. The system is acted on by an external force of 4 sin(4t) lb. If the mass is pulled down 6 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and ft = g 32 Express your answer as a linear combination of sin(at) $² and cos(at), where u is in feet and t is in seconds. u(t) = Determine the first four times at which the velocity of the mass is zero. Exclude t = 0 as trivial, and enter exact answers. First zero: t = Third zero: t = Second zero: t = Fourth zero: t =

4. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5465 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 Ib Tc. Neglect friction between the car and the track. Determine how far the car travels in 15 seconds. Model this as a particle at G. 24 in. B 25 in. 30 in. 25 in.

A force of P = 340 N is applied to the 70-kg cart. The mass center of the cart is at G   Determine the reaction at both the wheels at A. Determine the reaction at both the wheels at B. What is the acceleration of the cart?

The spring-mounted 0.89-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate θ˙=8.2θ˙=8.2 rad/s. At a certain instant, r is increasing at the rate of 700 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.63, calculate the friction force F exerted by the rod on the collar at this instant.

The homogeneous cylinder A has a mass of 80 kg, and the mss of the hub can be neglected. The magnitude of the variable force P, is in newtons when t is in sec- onds. The velocity of body B changes from 2 m/s downward when t = 0 to 4 m/s downward t = 5 s. Determine the mass of B. Solve all questions using Impulse and Momentum methods