Question

You pull on a string with a horizontal force F = 34 N that is attached to a block of mass mb = 7.1 kg, then to the axle of a solid cylinder of mass mc = 5.7 kg and radius r = 0.4 m, then to a spring of spring constant k = 115 N/m. This is all done on an inclined plane where there is friction ( Us = 0.6 and
You pull on a string with a horizontal force F = 34 N that is attached to a block of mass mb = 7.1 kg, then to the axle of a solid cylinder of mass mc = 5.7 kg and radius r = 0.4 m, then to a spring of spring constant k = 115 N/m. This is all done on an inclined plane where there is friction ( Us = 0.6 and First, what is the speed of the block and cylinder after you have pulled the block and cylinder 52 cm down the plane?How far have you pulled the block and cylinder when everything stops? Theta = 25 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.Mu k = 0.30 ), and the incline angle is
k = 0.30 ), and the incline angle is = 25 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.

First, what is the speed of the block and cylinder after you have pulled the block and cylinder 52 cm down the plane?

How far have you pulled the block and cylinder when everything stops?

Answer 1

The work done by the frictional force +translational kinetic energy of both block and cylinder+ rotational kinetic energy-gravitational potential energy+ spring potential energy -work done 2 2 2 Substitute the given values (34)(52x10) cos 25+(7.1+5.7) (9.8) (52x10 sin 2s 7.1)(9.8) cos25-(34) sin 25)(0.30)(52x10* 71+5.7)-^(5.7) -1.61 m/s2 Therefore, the speed of the block and the cylinder is 1.61 m/s' The block and the cvlinder can be moved to a distance of Substitute the given values (7.1) (9.8)cos25-(34)sin 25) (0.30)x- (7.1+5.7)(9.8)d sin 25+(115)x2 -(34)xcos25 x 1.2023 m Therefore, the required distance is 1.2023 m