Oscillations

For a simple pendulum performing simple harmonic motion, the time period

For a simple pendulum performing simple harmonic motion, the time period is plotted against its length. The curve will be…

The total energy of a simple harmonic oscillator is proportional to

The total energy of a simple harmonic oscillator is proportional to Options (a) square root of displacement (b) velocity (c)…

A particle of mass M is executing oscillations about the origin on the x-axis.

A particle of mass M is executing oscillations about the origin on the x-axis. The potential energy is U(x)=k|x|³, where…

A point performs simple harmonic oscillation of period T and the equation of motion

A point performs simple harmonic oscillation of period T and the equation of motion is given by x=a sin(ωt+π/6). After…

The particle executing simple harmonic motion has a kinetic energy K₀cos²ωt.

The particle executing simple harmonic motion has a kinetic energy K₀ cos²ωt. The maximum values of the potential energy and…

A thin wire of length L and mass M is bent to form a semicircle.

A thin wire of length L and mass M is bent to form a semicircle. What is the gravitational field…

A particle executing simple harmonic motion of amplitude 5 cm has maximum

A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its…

The potential energy of a simple harmonic oscillator when the particle is half way

The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where…

A particle is executing the motion x=Acos (ωt-θ). The maximum velocity of the particle is

A particle is executing the motion x=Acos (ωt-θ). The maximum velocity of the particle is Options (a) Aω cosθ (b)…

The time period of a mass suspended from a spring is T. If the spring is cut into four

The time period of a mass suspended from a spring is T. If the spring is cut into four equal…