Assignment:
Problem 1
The pendulum bob of mass m is projected from rest at A by the spring with stiffness k that is compressed a distance 8. For the first part of the motion, the cord is wrapped around the peg at D, giving the pendulum a length of C. After the cord reaches the horizontal position, the length of the pendulum becomes a Determine the speed of the bob and the tension in the cord when the bob is in positions B and C. Point B is located on the path where the length of the pendulum is still 1, that is, immediately before the cord becomes horizontal. Point C is located on the path where the pendulum is vertical.
Problem 2
The ball b with mass ni is moving horizontally with speed vo when it impacts the wedge w, also with mass rn, which is at rest on the slope shown. If the ball becomes embedded in the wedge and the coefficient of kinetic friction between the slope and the wedge is /4 = t, determine the distance d, as a function of vo and g, the wedge slides up the incline before momentarily stopping.
Problem 3
Ball A with mass 2m is moving in the direction shown with speed v0 when it impacts ball B, which has mass m had is moving with speed 4v0 in the direction shown. Find the post-impact velocity of each ball as functions of v0, and express it in the given and use e= ¼ for the coefficient of restitution of the impact.
