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20 Nov 2019

I am attempting to answer question 10 from this sheet:

In which of the above situations will the period of oscillations T be the greatest? Explain the reason for your answer, (assume that all the surfaces are frictionless, the springs are massless and the weights are identical in all cases) Consider the two simple pendulums with identical masses but with different lengths shown above. Suppose they are released from rest in position A (same phase) at the same time as shown. So you understand that they will not oscillate in the same way (i.e. will not oscillate in phase) since they will be having different periods of oscillations. But at a later time we will see both pendulums reaching the position A simultaneously. When will it take place? (calculate the time taken from the start)

I am attempting to answer question 10 from this sheet:

In which of the above situations will the period of oscillations T be the greatest? Explain the reason for your answer, (assume that all the surfaces are frictionless, the springs are massless and the weights are identical in all cases) Consider the two simple pendulums with identical masses but with different lengths shown above. Suppose they are released from rest in position A (same phase) at the same time as shown. So you understand that they will not oscillate in the same way (i.e. will not oscillate in phase) since they will be having different periods of oscillations. But at a later time we will see both pendulums reaching the position A simultaneously. When will it take place? (calculate the time taken from the start)