In the figure provided, a crate of mass m sits at rest on a 20° ramp and is connected to another crate of mass 1.80 kg by a rope and pulley. If the coefficient of friction is μk = 0.570 and μs = 0.850 with the surface, what acceleration will the mass m have if it is slightly nudged and begins to be pulled up the ramp? Assume the rope and pulley are massless.

In the figure provided, a 295 kg crate, to the right of the pulley, is released from rest and begins to fall to the ground. If the mass on the left is m = 215 kg, what is the magnitude of the acceleration of the 295 kg crate? Assume the rope and pulley are massless.

In the figure provided, a 160. kg crate, to the right of the pulley, is released from rest and begins to fall to the ground. If the crate accelerates at 4.45 m/s2, what is the mass of the block to the left of the pulley? Assume the rope and pulley are massless.

Two students are sliding a 34.3 kg mass upa 36.2 degrees ramp. Both are exerting their forces parallel to the surface. One student is at the top of the ramp, pulling the mass up it via a rope with a force of 254 N. The other students is pushing the mass up the ramp, using a force of 176 N. The cofficient of kinetic friction is 0.431. Determine the acceleration of the mass.

A mass m1 is connected by a light string that passes over a pulley of mass M to a mass m2 sliding on a frictionless incline as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25.0 cm and a moment of inertia of ½ MR2. If m1 is 2.00 kg, m2 is 1.00 kg, M is 4.00 kg, and the angle is 60.0 degrees, then what is the acceleration of m1?

Two blocks are arranged as below, connected together by rope and pulley with m1 = 3.50 kg and m2 = 7.00 kg. The coefficient of kinetic friction between all surfaces is 0.250. The top block is pulled to the right with a force F = 69.2 N. What is the acceleration of the top block?