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Oscillations

Question

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The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. The period of oscillation is

100 s

0.01 s

10 s

0.1 s

Solution

B.

0.01 s

Aω space equals space straight V subscript max space straight T space equals space fraction numerator 2 straight pi over denominator straight omega end fraction space equals space fraction numerator 2 πA over denominator straight v subscript max end fraction space equals space 0.01 space sec space

Some More Questions From Oscillations Chapter

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

The displacement of an object attached to a spring and executing simple harmonic motion is given by x = 2 × 10^-2 cos πt metres. The time at which the maximum speed first occurs

A particle of mass m executes simple harmonic motion with amplitude ‘a’ and frequency ‘ν’. The average kinetic energy during its motion from the position of equilibrium to the end is

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency ω. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time

The function sin²(ωt) represents

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