solve 1&5 please Period T is defined as the time required for an object with mas
ID: 1326920 • Letter: S
Question
solve 1&5 please
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. where M= mass attached to the spring (in kg), k=spring constant (in N/m) and T=period of time to complete one cycle of its motion (in sec). 1. Show a free body of the spring with the mass attached while in equilibrium. 2. If you attach a mass of 250g, what is the spring constant if the period is 1.25 sec? 3. If you double the attached mass, how does the period T change? Explain your answer. 4. Does a stiffer spring (stiffer spring has higher spring constant) give a longer or shorter period? Explain your answer. 5. If you cut the spring in half, would the period be longer or shorter? Explain your answer.Explanation / Answer
time period equation is
T=2pi root M/k
if the mass is doubled M=2M,then time period equation changes as
T'= 2pi root 2M/k
=(1.414)2pi root M/k
= 1.414 T
so, the time period increases 1.414 times of initial period
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since, time period is inversely proportional to squar root of spring constant
stipper string has a shorter period.
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