A 80 kg block rests on a horizontal plane. Find the magnitude of the force P required to give the block an acceleration of 2.5m/s? to the right. The coefficient of kinetic friction between the block and the plane is µk =0.25 30° 80 kg O 1398 N o 869 N O 535N о 620N

t=1.40 Please solve part B

When Crates A and B of mass ma = 31 kg and mB = 78 kg are released from rest, Crate A moves to the right on a rough surface (u = 0.4 ). The force P = 20 Newtons is always acting on Crate B. The linear spring has a stiffness of k = 490 N and is initially stretched 0.4 meters before the system is released from rest. Neglect the mass of the pulleys and cables and neglect friction in the pulley bearings. Determine the work done by the weight of Crate B (in Joules) when Crate A has moved a distance of 0.8 meters to the right. Consider g = 10 m. 82 B

Shown below are coplanar forces F1 and F2 pulling on a 1.0 - kg block which ismoving at constant speed on a horizontal surface. If the coefficient of kineticfriction between surfaces is 0.2, what is the magnitude of F2?

When the 3-kg box reaches point A it has a speed vA = 11 m/sm/s . Neglect friction and the size of the box. (Figure 1)

A 4 kg cylinder can slide along a rotating rod as shown below. The coefficient of static friction between the rod and the cylinder is u, = 0.4. Ifr 0.5 m and 0 3 rad/s, determine the maxirmum angular acceleration 0 so that the cylinder does not slide outward along the rod. r= 0.5 m #= 3 rad/s

Determine the vertical acceleration of the cylinder with a weight WA = 71 lb for each of the two cases. Neglect friction and the mass of the pulleys. The acceleration is positive if up, negative if down. Assume WB = 46 lb. W₂ W₂ B Answers: (a) a = (b) a = (a) 9.5162 i 5.2992 WA (b) ft/sec² ft/sec²

GPS 4- A smooth 2-kg collar, shown in figure, is attached to a spring having a stiffness k = 3 N/m and length of 0.75 m without load. If the collar is released from rest at A, determine at the instant when y=1m: a) Acceleration of the collar b) Normal force of the rod on the collar y-1m 0.75 m k-3N/m

The box drops a few centimeters starting from rest, and the surface has a coefficient of friction of 0.18. The weight of the box is 93 N and the The force exerted by the spring is 17 N. Enter the value of the force that causes the displacement.

A 250 lb block A is released from rest. It pulls the 400 lb block B up the 30 ramp. The kinetic friction coefficient between block B and the ramp is 0.5. Determine the tension in the cable and the accelerations of block A and block B (or point C).