Waves Test - 61...

A particle performs simple harmonic motionwith amplitude A. Its speed is trebled at the instant when it is at a distance $$\dfrac { 2 \mathrm { A } } { 3 }$$ fromequilibrium position. Find the new amplitudeof the motion. 

A sound wave travels at a speed of $$330m/s.$$ If the wavelength is $$1.56cm$$  what is the frequency of the wave? will it be audible for human

A particle in S.H.M. is described by the displacement function $$x(t) = a cos(ax + \theta)$$. If the initial (t = 0) position of the particle is 1 cm and its initial velocity is $$\pi cm/s$$. The angular frequency of the particle is $$\pi rad /s$$,then it's amplitude is

Consider the following two equations 

If x=$$\theta sin(\alpha + \dfrac{\pi}{6})$$ and $$x^1 = {\theta}cos\alpha$$,then what is the phase difference between the two waves.

The phase (at a time t) of a particle in simple harmonic motion tells

The displacement of an object attached to a spring and executing simple harmonic motion is given by $$x=2\times { 10 }^{ -2 }\cos { \pi t } $$ meters. The time at which the maximum speed first occurs is :

A particle executes a SHM of time T, find the time taken by the particle to go directly from its mean position to half the amplitude

Speed of wave 'v' is given by