MEDIUM
Physics
IMPORTANT
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A schematic view of the square of the velocity against the square of the acceleration of any simple harmonic motion is

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Important Questions on Linear and Angular Simple Harmonic Motion

MEDIUM
Physics
IMPORTANT
A block is resting on a piston which executes simple harmonic motion in vertical plain with a period of 2.0 s in vertical plane at an amplitude just sufficient for the block to separate from the piston. The maximum velocity of the piston is
EASY
Physics
IMPORTANT
A spring mass system performs SHM. If the mass is doubled keeping amplitude same, then the total energy of SHM will become
MEDIUM
Physics
IMPORTANT
A particle moves with a simple harmonic motion in a straight line. In the first second starting from rest it travels a distance a and in the next second it travels a distance b in the same direction. The amplitude of the motion is
EASY
Physics
IMPORTANT
The instantaneous displacement x of a particle executing simple harmonic motion is given by x=a1sinωt+a2cosωt+π6. The amplitude A of oscillation is given by
HARD
Physics
IMPORTANT

A block of mass m is suspended from the ceiling of an elevator (at rest) through a light spring of spring constant k. Suddenly, the elevator starts falling down with acceleration g.

Then

HARD
Physics
IMPORTANT
A mass m attached to a spring of spring constant k is stretched a distance x0 from its equilibrium position and released with no initial velocity. The maximum speed attained by mass in its subsequent motion and the time at which this speed would be attained are, respectively,
HARD
Physics
IMPORTANT
The displacement of a body executing SHM is given by x=Asin(2πt+π/3). The first time from t=0 when the velocity is maximum is
HARD
Physics
IMPORTANT

A plank of mass 12 kg is supported by two identical springs as shown in the given figure. The plank always remains horizontal. When the plank is pressed down and released, it performs simple harmonic motion with time period 3 s. When a block of mass m is attached to the plank the time period changes to 6 s. The mass of the block is

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