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qUESTIONS

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

Average velocity of a particle executing SHM in one complete vibration is

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass mis increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is

When two displacement represented by y1 = a sin(ωt) and y2 = b cos(ωt) are superimposed the motion is

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