5. You put a mass m on the end of a hanging unstretched spring k, and release it

Question

5. You put a mass m on the end of a hanging unstretched spring k, and release it. The mass will of course drop and oscillate with simple harmonic motion. How long after you drop the mass does it first experience a speed of zero? 6. The problems on this set are a bit tougher than average, so to cut you a break there is no problem 6. 7. The length of the simple pendulum on my Grandfather?s grandfather clock is L = 0.8 m. The gearing on the clock must accurately convert swings to minutes. How many swings per minute for this clock? 8. Bubba is standing on a trampoline, gently simple-harmonicing up and down with a period of T = 0.9 s. He begins to slowly increase the amplitude of his oscillation. At what amplitude does he lose contact with the trampoline? 9. A mass m on a frictionless horizontal surface is attached to a horizontal spring with spring constant k. The mass is then moved to position xo not equals to 0, and released. How fast is the mass going when it reaches x = 0?

Explanation / Answer

frequency = root (k/m)

time period = 1/f = root ( m/k)

the block will experienc zero velocity at the lowes point and at just that instant it starts to move upwards

time taken to move to the lowest point from eq position = t/4

time taken = root[m/k] /4

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