I think that I am way over complicating this problem how do I do it. You pull on a string with a horizontal force of magnitude Fyb = 31 N that is attached to a block of mass mb = 7 kg, then to the axle of asolid cylinder of mass me = 5.5 kg and radius r = 0.4 m, then to a spring of spring constant k = 135 N/m. This is all done on an inclinedplane where there is friction ( pMz = 0.61 and ux = 0.33 ), and the incline angle is 0 = 31 degrees. Everything starts at rest, and thespring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches.b'ybSpeedFirst, what is the speed of the block and cylinder after you have pulled the block and cylinder 25 cm down the plane?v= 123 m/s

Answered: Image /qna-images/answer/1bd6f521-6ee8-45f2-85e8-d407505f6031.jpg

You pull on a string with a horizontal force of magnitude Fyb = 31 N that is attached to a block of mass mh = 7 kg, then to the axle of a solid cylinder of mass m. = 5.5 kg and radius r = 0.4 m, then to a spring of spring constant k = 135 N/m. This is all done on an inclined plane where there is friction ( ls = 0.61 and µk = 0.33 ), and the incline angle is 0 = 31 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches.

You pull on a string with a horizontal force of magnitude Fyb = 31 N that is attached to a block of mass mh = 7 kg, then to the axle of a solid cylinder of mass m. = 5.5 kg and radius r = 0.4 m, then to a spring of spring constant k = 135 N/m. This is all done on an inclined plane where there is friction ( ls = 0.61 and µk = 0.33 ), and the incline angle is 0 = 31 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches.