HARD
Physics
IMPORTANT
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The displacement of a particle varies according to the relation x=4(cosπt+sinπt). The amplitude of the particle is

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Important Questions on Oscillations

HARD
Physics
IMPORTANT
A simple pendulum is oscillating with an angular amplitude of 90°. If the direction of resultant acceleration of the bob is horizontal at a point then angle made by the string with vertical is
HARD
Physics
IMPORTANT
Two particles execute SHM of same amplitude of 20 cm with same period along the same line about the same equilibrium position. If the phase difference is π/3, then the maximum distance between these two will be:
HARD
Physics
IMPORTANT
The displacement of a particle varies with time as, x=12 sinωt-16sin3ωt (in cm). If its motion is SHM, then, its maximum acceleration is,
HARD
Physics
IMPORTANT
A piston is performing S.H.M. in the vertical direction with a frequency of 0.5 Hz. A block of 10 kg is placed on the piston. The maximum amplitude of the system such that the block remains in contact with the piston is
HARD
Physics
IMPORTANT
The distance of the body from mean position, where the kinetic energy of a particle performing S.H.M. of amplitude 8 mm is three times its potential energy is,
 
HARD
Physics
IMPORTANT
A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
HARD
Physics
IMPORTANT
In S.H.M., graph of which of the following is a straight line?
HARD
Physics
IMPORTANT
Assertion: Total energy of a particle executing SHM is maximum at mean position.

Reason: The velocity of the particle executing SHM is maximum at mean position.