club to model The setup shown was built by the many simultaneous principles learned in Dynamics class. When the rope is at an angle of a = 35°, sphere A (m₁ = 2.5 kg) has a speed vo= 0.75 m/s. The coefficient of restitution between A and wedge B (mB = 7 kg) is e = 0.8 and the length of rope / = 1.15 m. The spring constant has a value of k = 450 N/m and = 12º. www Determine: a.) the velocities of A and B immediately after the impact, b.) the maximum deflection of the spring, assuming A does not strike B again before this point.

4 Problem A particle of mass m is attached to a spring, as shown below. Initially, the spring is unstretched with length lo and at rest. The spring constant is k. An impulse is applied to give an initial ve- locity vo in the direction a. The motion occurs in the horizontal plane (ignore gravity and friction). Part A: What is the angular impulse about point O required to produce this speed and direc- tion? Part B: Show that the equations of motion for the position of particle P with respect to O (in a polar frame) are as follows: +r0², where r is the distance of P with respect to O and is the corresponding angle measured counter- clockwise from the horizontal. O - 2r0 1 -k(r-lo) m Ÿ = k- (Hint: Define a polar reference frame and use Newton's Second Law (angular momentum form, Mp/0 = (hp/o) to find and use Newton's Second Law (standard form, Fp = mpap/o) with the polar acceleration to find r.) Values: lo = 1 m, mp = 2 kg, vo = 3 m/s, a = 45 deg. (1) (2) lo No

Pravinbhai

A Lazy Susan (M=0.5 kg) in the shape of a disk is free to rotate about its center withoutfriction. It is initially motionless when a Texas-sized cockroach (m=10 g) starts runningCCW along the rim. The angular speed of the Lazy Susan is then 1 rad/sec. With whatspeed is the cockroach running (in the rest frame of the table, not the Lazy Susan)?       (What more data should be given according to you? If the question seems incomplete to you...)