The 65-kg crate is stationary when the force Pis applied. Determine the resulting acceleration of the crate if (a) P=0. (b) P = 223 N and (c) P=488 N. The acceleration is positive if up the slope, negative if down the slope. 65 kg [4,-0.27 P₁=0.20

R ft Rft P lb The block of weight 131 lb is pushed with a force of P = 46 lb on top of two cylindrical rollers with a weight of 32 lb and a radius of R = 1.91 ft. Determine the block's speed after it has been moved 1.48 ft to the left. The block is originally at rest. No slipping occurs. Calculate your answer to two decimal places. Report your answer in ft/s.

If the 100-kg mass has a downward velocity of 0.5 m/s as it passes through its equilibrium position, calculate the magnitude amax of its maximum acceleration. Each of the two springs has a stiffness k = 180 kN/m. Ans. amax = 30 m/s2 %3D k k 100 kg

Give the solution.