Composition of Two S.H.M.s Having Same Period and Along Same Line

The superposition of two S.H.M is given by $x=\left(5\mathrm{cm}\right) \sin \left(100\mathrm{\pi t}+\frac{\mathrm{\pi }}{3}\right)$. Find the angular frequency of the wave?

The resultant of two simple harmonic motions of the same frequency and unequal amplitudes but differing in phase by, $\frac{\mathrm{\pi }}{2}$ is 

The motion of a particle is given, $x=A\sin \omega t+B\cos \omega t$. The motion of the particle is

The position of a particle with respect to origin varies according to the relation $x=3\sin 100t+8{\cos }^{2}50t$. Which of the following is correct about this motion?

The superposition of two S.H.M is $2\sin \left(20\mathrm{\pi t}+\frac{\mathrm{\pi }}{2}\right)$. Find the angular frequency.

The equation of the superposition of two S.H.M is given by,

$x=\left(10\mathrm{cm}\right) \sin \left(50 \mathrm{\pi t}+\frac{\mathrm{\pi }}{3}\right)$

Find the linear frequency?

The superposition of two S.H.M is given by $x=\left(5\mathrm{cm}\right) \sin \left(100\mathrm{\pi t}+\frac{\mathrm{\pi }}{3}\right)$. Find the angular frequency of the wave?

Consider the two sinusoidal waves at a particular point is given by,

$x_1\left(t\right)=\left(4\mathrm{m}\right) \sin \left(100\mathrm{\pi t}\right)$

$x_2\left(t\right)=\left(3\mathrm{m}\right) \sin \left(100\mathrm{\pi } \mathrm{t}+\frac{\mathrm{\pi }}{3}\right)$

Find the amplitude of resultant wave due to superposition of waves.

Discuss analytically, the composition of two $\mathrm{S}.\mathrm{H}.\mathrm{M}.\mathrm{s}$ of same period and parallel to each other. Find the resultant amplitude when phase

difference is $\left(\mathrm{i}\right) 0 \left(\mathrm{ii}\right) \mathrm{\pi } \left(\mathrm{iii}\right) \frac{\mathrm{\pi }}{2} \left(\mathrm{iv}\right) \frac{\mathrm{\pi }}{3}$radians.

The motion of a particle is given by the equation $\mathrm{x}=\mathrm{Asin\omega t}+\mathrm{Bcos\omega t}$ is

Select the correct statement about a particle subjected to two simple harmonic motions along $x$ and $y$ directions according to $x=3\sin 100\pi t$ and $y=4\sin 100\pi t$.

A particle is subjected to two simple harmonic motions long $X$ -axis while other is along a line making angle ${45}^o$ with the $X$ -axis. The two motions are given by $x=x_0\sin \omega t$ and $s=s_0\sin \omega t.$

The amplitude of resultant motion is

Four waves are represented by $y_1=A_1\mathrm{sin\pi }t$ , $y_2{=A}_2\sin \left(\mathrm{\pi }t+\frac{\mathrm{\pi }}{2}\right)$, $y_3=A_1\sin \left(2\mathrm{\pi }t+\frac{\mathrm{\pi }}{2}\right)$ and $y_4=A_2\sin \left(\mathrm{\pi }t-\frac{\mathrm{\pi }}{3}\right)$ . Interference will happen with-

A travelling wave represented by $y=a\sin \left(\omega t-kx\right)$ is superimposed on another wave represented b$y=a\sin \left(\omega t+kx\right)$. The resultant is

The motion of a particle is given by $x=A\sin \left(\omega t\right)+B\cos \left(\omega t\right)$. The motion of the particle is.