dont spam plz who r in class 12 plz send question no of energy in shm of hc verma
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Questions from H.C Verma related to SHM Energy conversion:
From Solved Example: A particle of mass 40 g executes a simple harmonic motion of amplitude 2.0 cm. If the time period is 0'20 s, find the total mechanical energy of the system.
3. A particle executes simple harmonic motion with an amplitude of 10 cm. At what distance from -the mean position are the kinetic and potential energies equal ?
6. The equation of motion of a particle started at t = 0 is given by x = 5 sin (20 t + n/3) where x is in centimetre and t in second. When does the particle (a) first come to rest b) first have zero acceleration (c) first have maximum speed ?
12. A body of mass 2 kg suspended through a vertical spring executes simple harmonic motion of period 4 s. If the oscillations are stopped and the body hangs in equilibrium, find the potential energy stored in the spring.
18. The spring shown in figure (12-E5) is unstretched when a man starts pulling on the cord. The mass of the block is M. If the man exerts a constant force F, find (a) the amplitude and the time period of the motion of the block, (b) the energy stored in the spring when the block passes through the equilibrium position and (c) the kinetic energy of the block at this position.
16. In figure (12-E3) k = 100 N/m, M = 1 kg and F = 10 N, (a) Find the compression of the spring in the equilibrium position. (b) A sharp blow by some external agent imparts a speed of 2 m/s to the block towards left. Find the sum of the potential energy of the spring and the kinetic energy of the block at this instant. (c) Find the time period of the resulting simple harmonic motion. (d) Find the amplitude. (e) Write the potential energy of the spring when the block is at the left extreme. (f) Write the potential energy of the spring when the block is at the right extreme. The answers of (b), (e) and (f) are different. Explain why this does not violate the principle of conservation of energy.
Note : Figures are attached.
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