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IMPORTANT
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There is a large difference between the frequencies of external periodic force and natural frequency of a body. The body will

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Important Questions on Oscillations

MEDIUM
JEE Main
IMPORTANT
A body of mass 0.25 kg is attached to a vertical spring. The spring is executing damped simple harmonic oscillations. At what time will the mechanical energy of the spring drop to half of its initial value? [The damping constant b=0.05 kg s-1]
 
MEDIUM
JEE Main
IMPORTANT
A particle moves in a circular path with a uniform speed. Its motion is,
MEDIUM
JEE Main
IMPORTANT

The time period of oscillation of a mass m suspended from a spring is 2 s. If a mass of (m+5) kg is suspended from the same spring its time period is 3 s. What is the value of mass m?

HARD
JEE Main
IMPORTANT
The amplitude of a simple pendulum is 10cm. When the pendulum is at a displacement of 4cm from the mean position, then the ratio of kinetic and potential energies at that point is n4, find the value of n.
HARD
JEE Main
IMPORTANT
A thin uniform rod of length 3.00 m executes simple harmonic oscillations like a physical pendulum with minimum time period. If the effective length of pendulum is x m. Find the value of x.
MEDIUM
JEE Main
IMPORTANT
A particle executes simple harmonic motion with a time period of 16 s along the x - axis. At time t=2 s, the particle crosses the mean position while at t=4 s, the velocity of the particle is  + 4 m s-1. The amplitude of motion (in m) is
MEDIUM
JEE Main
IMPORTANT
Two discs of masses M1 and M2 are placed on a frictionless surface. Now, the spring is compressed by small displacement x. Then, the time period of the given system is,

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MEDIUM
JEE Main
IMPORTANT
A body of mass 5 gm is executing SHM about a point with amplitude 10 cm. Its maximum velocity is 100 cm s-1. At what distance from mean position, its velocity will be 50 cm s-1.