Chapter 15, Problem 83P

Block A has a mass mA and is attached to a spring having a stiffness k and unstretched length l0. If another block B, having a mass mB, is pressed against A so that the spring deforms a distance d, determine the distance both blocks slide on the smooth surface before they begin to separate. What is their velocity at this instant?

The 1.5-lb collar slides with negligible friction on the fixed rod in the vertical plane. If the collar starts from rest at A under the action of the constant 2-lb horizontal force, calculate its velocity v as it hits the stop at B.

Homework 1) When the mechanism is released from rest in the position where 0 = 60°, the 4-kg carriage drops and the 6-kg sphere rises. Determine the velocity v of the sphere when = 180°. Neglect the mass of the links and treat the sphere as a particle. Ans. v = 0.990 m/s 2) The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N/m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50-N force. Calculate the velocity u of the collar as it passes position B. Ans. U=4.93 m 1.5 m 30° 50 N 300 mm 300 mm 300 mm- 4 kg k=30 N/m 2m 6 kg