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Frequency of oscillation is proportional to

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Important Questions on Simple Harmonic Motion

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IMPORTANT
The mass and the radius of a planet are twice that of earth. Then, period of oscillation of a second's pendulum on that planet will be
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IMPORTANT
A mass m is suspended from a spring. Its frequency of oscillation is f. The spring is cut into two halves and the same mass is suspended from one of the two pieces of the spring. The frequency of oscillation of the mass will be
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A block of mass 0.2 kg, which slides without friction on a 30° incline, is connected to the top of the incline by a massless spring of force constant 80 N m-1 as shown in the figure. If the block is pulled slightly from its mean position, what is the period of oscillations?

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A horizontally placed spring-mass system has a time period T. The same system is now placed on a car moving with acceleration a in the horizontal direction. Then,
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A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position. Then, its time period in seconds is
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The equation of motion of a particle is d2ydt2+Ky=0, where K is a positive constant. The time period of the motion is given by
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The displacement x (in metre) of a particle in, simple harmonic motion is related to time t (in seconds) as x=0.01cosπt+π4

The frequency of the motion will be

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A simple pendulum is made of a body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will