Two bodies performing $SHM$ have same amplitude and frequency. Their phases at a certain instant are as shown in the figure. The phase difference between them is
Advanced
Download our app for free and get started
Displacement form mean position
$=\mathrm{A}-\left(\frac{2-\sqrt{3}}{2}\right) \mathrm{A}=\frac{\sqrt{3}}{2} \mathrm{A}$
So phase of the particle which is going
towards $+x$ is $\phi_{1}=\frac{\pi}{3}$
and for other particle $\phi_{2}=2 \pi-\frac{\pi}{3}=\frac{5 \pi}{3}$
phase difference $=\frac{5 \pi}{3}-\frac{\pi}{3}$
$=\frac{4 \pi}{3}$ or $\left(2 \pi-\frac{4 \pi}{3}\right)$
$=\frac{4 \pi}{3}$ or $\frac{2 \pi}{3}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The displacement of a particle executing SHM is given by $x=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{m}$. The time period of motion is $3.14 \mathrm{~s}$. The velocity of the particle at $\mathrm{t}=0$is_________. $\mathrm{m} / \mathrm{s}$.View Solution
- 2A particle executes $SHM.$ Its velocities are $v_1$and $v_2$ at displacement $x_1$ and $x_2$ from mean position respectively. The frequency of oscillation will beView Solution
- 3The height of a swing changes during its motion from $0.1\, m$ to $2.5\, m$. The minimum velocity of a boy who swings in this swing is ..... $m/s$View Solution
- 4View SolutionIn the adjacent figure, if the incline plane is smooth and the springs are identical, then the period of oscillation of this body is
- 5A simple pendulum, suspended from the ceiling of a stationary van, has time period $T$. If the van starts moving with a uniform velocity the period of the pendulum will beView Solution
- 6A mass $m$ is attached to two springs as shown in figure. The spring constants of two springs are $K _1$ and $K _2$. For the frictionless surface, the time period of oscillation of mass $m$ isView Solution
- 7The displacement equation of a particle is $x = 3\sin 2t + 4\cos 2t.$ The amplitude and maximum velocity will be respectivelyView Solution
- 8On a planet a freely falling body takes $2 \,sec$ when it is dropped from a height of $8 \,m$, the time period of simple pendulum of length $1\, m$ on that planet is ..... $\sec$View Solution
- 9A mass $m = 8\,kg$ is attahced to a spring as shown in figure and held in position so that the spring remains unstretched. The spring constant is $200\,N/m$. The mass $m$ is then released and begins to undergo small oscillations. The maximum velocity of the mass will be ..... $m/s$ $(g = 10\,m/s^2)$View Solution
- 10Two masses ${m_1}$ and ${m_2}$ are suspended together by a massless spring of constant k. When the masses are in equilibrium, ${m_1}$ is removed without disturbing the system. Then the angular frequency of oscillation of ${m_2}$ isView Solution