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Physics
IMPORTANT
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A sphere of mass and radius is on a smooth fixed inclined plane in equilibrium as shown in the figure. If now the sphere is displaced through a small distance along the plane, what will be the angular frequency (in of the resulting SHM? (Given, )



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Important Questions on Linear and Angular Simple Harmonic Motion
HARD
Physics
IMPORTANT
If denote the displacement, the velocity and the acceleration of a particle executing SHM, of time period , then, which of the following does not change with time

MEDIUM
Physics
IMPORTANT
A mass , attached to a horizontal spring, executes s.h.m. with amplitude . When the mass passes through its mean position then a smaller mass is placed over it and both of them move together with amplitude . The ratio of is

MEDIUM
Physics
IMPORTANT
Two particles are executing simple harmonic motion of the same amplitude and frequency along the -axis. Their mean position is separated by distance . If the maximum separation between them is , the phase difference between their motion is

MEDIUM
Physics
IMPORTANT
The amplitude of a damped oscillator decreases to times its original magnitude is . In another it will decrease to times its original magnitude, where equals

HARD
Physics
IMPORTANT
A particle moves with simple harmonic motion in a straight line. In first , after starting from rest, it travels a distance , and in next , it travels in same direction, then:

MEDIUM
Physics
IMPORTANT
For a simple pendulum, a graph is plotted between its kinetic energy and potential energy against its displacement . Which one of the following represents these correctly? (Graphs are schematic and not drawn to scale)

MEDIUM
Physics
IMPORTANT
A particle is executing simple harmonic motion with a time period . At time , it is at its position of equilibrium. The kinetic energy-time graph of the particle will look like,

MEDIUM
Physics
IMPORTANT
The graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at is
