Given: The box crate is being lifted up the plane, which is inclined at an angle, using the motor-winch M and the cord and pulley arrangement shown on the right. The weight (Fw) of the crate is 500 Lb. The surface on which the crate rest is very rough, and the coefficient of static friction (s) between the crate and the inclined plane (supporting surface) is 0.61. For this problem, assume that the angle is 26. Kinematics: a) Label the pulley arrangement and derive the four kinematic equations which describe the crate's motion (i.e., position, displacement, velocity, and acceleration). b) Find the speed vp at which the cable must be taken up by the motor in order to move the crate up the plane with a speed of 1 ft/sec. c) Find the relative velocity of the point P with respect to point A on the cord, that is, VPIA, if the crate moves up the plane with a speed of 1 ft/sec. 140 120 100 M