MY Period T is defined as the time required for an object with mass M attached to a spring of spring constant k to compl

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My Period T Is Defined As The Time Required For An Object With Mass M Attached To A Spring Of Spring Constant K To Compl 1 (401.91 KiB) Viewed 39 times

MY Period T is defined as the time required for an object with mass M attached to a spring of spring constant k to complete one cycle of motion (one oscillation). T=2M 1-21 where M=mass attached to the spring (in kg), k=spring constant in N/m) and Teperiod of time to complete one cycle of its motion (in s). 1. Show a free body diagram of a vertical spring with a mass attached, while in equilibrium 2. If you cut the spring by one third, would the period be longer or shorter? By how much? Explain your answer. Hint: read on your textbook how the spring constant depends on the length 3. Does a stiffer spring (stiffer spring has higher spring constant) give a longer or shorter period? Explain your answer. 4. If you quadruple the attached mass, how much does the period T change? Show your work 5. If we let the spring oscillate 40 times and measure the time, what is the period T of the oscillation? Explain your answer.