Three blocks are connected over two frictionless, massless pulleys by two inextensible, massless cords as shown in the figure. There is friction between block my and the horizontal surface of the table. If the block m, moves downward after being released from rest, then what is the magnitude of the acceleration of the blocks and the magnitude of the tension in the cords in terms of the masses of the blocks m, ma, and ms, the coefficient of kinetic friction between block my and the table, a. and the acceleration due to gravity, g. Include a force diagram or free-body diagram of the situation.

Problem 1. Find the horizontal force magnitude P needed to start the motion of the block with mass mo in two scenarios: (a) when P is applied to the right and (b) when P is applied to the left. Develop a general solution for each scenario, and subsequently, substitute the values 0= 25°, m = mo = 2.5 kg, µs = 0.40, and μk = 0.35 into your expressions for evaluation. Hgs H k P (a) A mo 0 m P (b) B

A slender bar with a length of 2 ft is pin-connected with a roller positioned on a smooth horizontal surface. The bar is at rest initially, and a horizontal force F is applied to the roller. If F = 13 lb and the weight of the bar is 10 lb, calculate the magnitude of the acceleration of the roller at that instant by neglecting the mass and the size d of the roller. Present your answer in ft/sec² using 3 significant figures. FOR COMARCA 2 ft F

Figure 2 В A Block A is hanging from a massless string which runs over a massless and frictionless pulley and connects to Block B. Block B slides over an inclined plane with ordinary kinetic friction. The plane under block B is inclined at an angle theta = 0 away from vertical. The other side of Block B is connected to another massless string which runs over another massless and frictionless pulley to connect to Cart C. Cart C rolls without friction over a plane which is inclined at an angle of phi = y away from vertical. C