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qUESTIONS

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

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is ẞ. Then its time period of vibration will be

A particle is executing SHM along a straight line. Its velocities at distances x₁ and x2 from the mean position are V₁ and V₂ respectively. Its time period is

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20m/s² at a distance of 5m from the mean position. The time period of oscillation is

A spring of force constant k is cut into lengths of ratio 1:2:3. They are connected in series and the new force constant is k’. Then they are connected in parallel and force constant is k”. Then k’:k” is

The displacement of a particle along the x-axis is given by x = asin² it. The motion of the particle corresponds to

Which of the following function represents a simple harmonic oscillation?

The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the figure.y-projection of the radius vector of rotating particle P is

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