Single Choice

The equation of displacement of a particle is $$x=A\sin \omega t$$, $$x$$ is displacement as a function of time, the correction variation of acceleration a with displacement $$x$$ is given by:

A
B
Correct Answer
C
D

Solution

SIMILAR QUESTIONS

Simple Harmonic Motion

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?

Simple Harmonic Motion

If the displacement of simple penadulum at any time is $$0.02\ $$$$m$$ and acceleration is $$2\ m/s^2$$, then in this time angular velocity will be:

Simple Harmonic Motion

What is the maximum acceleration of the particle doing the SHM? $$y = 2\sin\left[\dfrac{\pi t}{2}+\phi\right]$$, where $$2$$ is in cm

Simple Harmonic Motion

The oscillation of a body on a smooth horizontal surface is represented by the equation, $$X= A cos (\omega t)$$ where $$X=$$ displacement at time $$\omega =$$frequency of oscillation Which one of the following graph shows correctly the variation '$$a$$' with '$$t$$'? Here $$a=$$ acceleration at time $$t$$ $$T =$$ time period

Simple Harmonic Motion

The $$x-t$$ graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at $$t = \dfrac{4}{3}\ s$$ is

Simple Harmonic Motion

The average acceleration in one time period in a simple harmonic motion is

Simple Harmonic Motion

A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6 s. At $$t=0$$ it is at position $$x = 5 cm$$ going towards positive x-direction. Write the equation for the displacement x at time t. Find the magnitude of the acceleration of the particle at $$t = 4 s$$.

Simple Harmonic Motion

Consider a particle moving in simple harmonic motion according to the equation $$x= 2.0 \cos(50 \pi t + tan^{-1}0.75)$$ where x is in centimetre and t in second. The motion is started at t = 0. (a) When does the particle come to rest for the first time ? (b) When does the acceleration have its maximum magnitude for the first time ? (c) When does the particle come to rest for the second time ?

Simple Harmonic Motion

A particle executing SHM. The phase difference between acceleration and displacement is:

Simple Harmonic Motion

the acceleration $$w$$ of the point as a function of its radius vector $$r$$ relative to the origin of coordinates.

Contact Details