Mass Ma lies on top of mass Mp, as shown. Assume M, > Mạ. The two blocks are pulled from rest by a massless rope passing over a pulley. The pulley is accelerated at rate A. Block M, slides on the table without friction, but there is a constant friction force f between Ma and M, due to their relative motion. Find the tension in the rope.

Somebody is riding a skateboard and holding a wire that is tied to a car.  The wire makes a 17° angle with the horizontial.  The tension on the wire is 175N.  The friction between the skateboard and the road is 80N. They have a mass of 81kg.  Create a free body diagram and find the acceleration.

In a TV commercial pickup truck B of mass mB lifts large crate A of mass mA toawrd the top of a cliff by means of a cable and a frictionless pulley. The truck uses constant thrust force F to do the job and accerates forward starting from rest, There are no friction forces except the thrust force F.  a) Determine a symbolic formula for the magnitude of the acceration experienced by the crate. The final formula should not include the unknown tension force.  b) explain whether the cable tension must be greater than, equal to, or less than the crate weight.  c) for mass mA= 1500 kg, mb=2800 kg, and F=18,000N, how far will the crate rise in the first 3.5 s of motion?

A 9.08 kg mass is released from rest while on and incline of 58.65 degrees. If the coefficient of kinetic friction is 0.301, what is the magnitude of the acceleration of the mass?

Blocks A and B each have 13 kg mass. All contact surfaces have the same coefficient of friction. Determine the force P in N needed to cause impending motion of block B to the left if the coefficient of static friction is 0.3.

Mr. M is accelerating up the wall at a rate of 0.75 m/s^2. The rope attached to the harness makes an angle of 15 degrees with the wall. If his mass is 95kg. (a) What the magnitude of the force of tension in the rope? (b) How hard do his leg have to push against the wall to keep him in the appropriate body position to walk up the wall?

An object of mass m is being acted by the following 3 forces: F1 = 500 N @ 45⸰ North of East, F2 = 750 N @ 30⸰ West of North and F3 = 400 N @ 30⸰ South of West.  Find mathematically the magnitude and direction of a fourth force F4 that will maintain the object at equilibrium.  Ignore the weight of the object. Provide free body diagram for the system and the sum of the forces along the axis.

F m1 m2 A string has a tension T = 7.1 Newtons and %3D connects the two blocks of m1 =3.7 kg and m2 =12.6 kg. Find the value of force F in Newtons assuming the friction is negligible. (only numbers in the box)

A box of mass m1 rests on a smooth, horizontal floor next to a box of mass m2. suppose the force of 20.0 N pushes on two boxes of unknown mass.

A car engine with height w hangs from a chain that is linked at ring 0 to two other chains, one fastened to the ceiling and the other to the wall. Find the expressions for the tension in each of the three chains in terms of w. The weights and chains are negligible compared with the weight of the engine.