Period T is defined as the time required for an object with mass M attached to a
ID: 1326896 • Letter: P
Question
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. T = 2pi root M/k 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
There are multiple question I am allowed to solve only 1 question at a time according to chegg guidelines.
we know the value of mass =250 grams = 0.25 kg
T =1.25 seconds
so we need to put in the above mentioned formula
we squaring both sides we get :
T ^ 2 = 4 * (3.14 ) ^ 2 * (M/K)
SO
K = 4 * (3.14 ) ^ 2 * M / T
K = 6.310144 N/m ------------------->>>>>>>>>>>>>>>>>>>answer) for question 2)