# CBSE Class 11-science Physics Illustrations of Bodies in SHM

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- Two bodies P and Q of equal masses are suspended from two separate springs of constants K
_{1}and K_{2}respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, then what is the ratio of the amplitudes of vibration of P and Q? - What is the frequency of oscillation of a simple pendulum mounted in a cabin that is freely falling under gravity?
- Will a pendulum gain or lose time, when taken to the top of a mountain?
- Plot a graph between the time period (T) for a simple pendulum and its length (L)?
- A graph was plotted taking log
_{10}T Vs log_{10}l for a simple pendulum. What is the nature of the graph and what is its slope? - (a) On what factors, does the energy of simple harmonically vibrating particle depend? (b) A spring of force constant k is broken into n equal parts (n>0). What will be the spring factor of each part?
- Two identical springs of force constant k each are connected in series. What will be the spring factor of the combination when they are connected in (i) Series (ii) Parallel
- A particle is vibrating in S.H.M. When the distances of the particle from the mean position are y
_{1}and y_{2}it has velocities v_{1}and v_{2}respectively. Prove that the time period is, - A tray of mass 9 kg is supported by two springs, each of force constant K as shown in the figure. On pressing the tray slightly downwards and then releasing it, it executes SHM of period 1s. When a block of mass M
_{1}is placed in the tray, the period increases by 2s. Calculate the mass of the block. - Two identical, springs each of spring factor K, may be connected in the following different ways.. Deduce the spring factor for oscillations of the body P of mass m in each case.

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