CBSE Class 11 science: Illustrations of Bodies in SHM Videos | Oscillations

• Two bodies P and Q of equal masses are suspended from two separate springs of constants K₁ and K₂ 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 log₁₀T Vs log₁₀l 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 y₁ and y₂ it has velocities v₁ and v₂ 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 M₁ 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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