1. Two mass-spring systems with the same mass are undergoing oscillatory motion with the same amplitudes. System 1 has twice the frequency of system 2. How do (a) their frequencies and (b) their maximum accelerations compare? 2. A 1.35-m-long pendulum hangs with its 0.535-kg bob at 1.86 m/s rest. A 0.110-kg ball of putty moving horizontally at strikes the bob and sticks. Find the resulting period and amplitude of the swinging pendulum. 3. A spring with k=34.0 N/m is vertical with one end attached to the floor. You place a 0.50-kg mass on top of the spring and depress it to start it oscillating vertically. The mass simply rests on top of the spring and isnt firmly attached. (a) Find the maximum oscillation amplitude that allows the mass to stay on the spring throughout the cycle. (b) If you exceed this maximum amplitude just slightly, at what point in the cycle would the mass come off the spring?
