Damped Simple Harmonic Motion
PHXI14:OSCILLATIONS

364215 Two particles are executing simple harmonic motion of the same amplitude \(A\) and frequency \(\omega\) along the \(x\)-axis. If the maximum separation between them is A the phase difference between their motion is

1 \(\pi / 3\)
2 \(\pi / 2\)
3 \(\pi / 6\)
4 \(\pi / 4\)
PHXI14:OSCILLATIONS

364216 Time period \((T)\) and amplitude (1) are same for two particles which undergo SHM along the same line. At one particular instant, one particle is at phase \(\dfrac{3 \pi}{2}\) and other is at phase zero. While moving in the same direction. Find the time at which they will cross each other.

1 \(3\;T/8\)
2 \(4\;T/2\)
3 \(3\;T/7\)
4 \(3\;T/4\)
PHXI14:OSCILLATIONS

364217 The displacement of two particles executing SHM are represented by equations
\(y_{1}=2 \sin (10 t+\theta), y_{2}=3 \cos 10 t\).
The phase difference between the velocity of these particles is

1 \(-\theta\)
2 \(\theta\)
3 \(\theta-\pi / 2\)
4 \(\theta+\pi / 2\)
PHXI14:OSCILLATIONS

364218 Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to \(A\) and \(T\), respectively. At time \(t = 0\) one particle has displacement A while the other one has displacement \(\frac{{ - A}}{2}\) and they are moving towards each other. If they cross each at time \(t\), then \(t\) is :

1 \(\dfrac{T}{4}\)
2 \(\dfrac{5 T}{6}\)
3 \(\dfrac{T}{3}\)
4 \(\dfrac{T}{6}\)
PHXI14:OSCILLATIONS

364215 Two particles are executing simple harmonic motion of the same amplitude \(A\) and frequency \(\omega\) along the \(x\)-axis. If the maximum separation between them is A the phase difference between their motion is

1 \(\pi / 3\)
2 \(\pi / 2\)
3 \(\pi / 6\)
4 \(\pi / 4\)
PHXI14:OSCILLATIONS

364216 Time period \((T)\) and amplitude (1) are same for two particles which undergo SHM along the same line. At one particular instant, one particle is at phase \(\dfrac{3 \pi}{2}\) and other is at phase zero. While moving in the same direction. Find the time at which they will cross each other.

1 \(3\;T/8\)
2 \(4\;T/2\)
3 \(3\;T/7\)
4 \(3\;T/4\)
PHXI14:OSCILLATIONS

364217 The displacement of two particles executing SHM are represented by equations
\(y_{1}=2 \sin (10 t+\theta), y_{2}=3 \cos 10 t\).
The phase difference between the velocity of these particles is

1 \(-\theta\)
2 \(\theta\)
3 \(\theta-\pi / 2\)
4 \(\theta+\pi / 2\)
PHXI14:OSCILLATIONS

364218 Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to \(A\) and \(T\), respectively. At time \(t = 0\) one particle has displacement A while the other one has displacement \(\frac{{ - A}}{2}\) and they are moving towards each other. If they cross each at time \(t\), then \(t\) is :

1 \(\dfrac{T}{4}\)
2 \(\dfrac{5 T}{6}\)
3 \(\dfrac{T}{3}\)
4 \(\dfrac{T}{6}\)
PHXI14:OSCILLATIONS

364215 Two particles are executing simple harmonic motion of the same amplitude \(A\) and frequency \(\omega\) along the \(x\)-axis. If the maximum separation between them is A the phase difference between their motion is

1 \(\pi / 3\)
2 \(\pi / 2\)
3 \(\pi / 6\)
4 \(\pi / 4\)
PHXI14:OSCILLATIONS

364216 Time period \((T)\) and amplitude (1) are same for two particles which undergo SHM along the same line. At one particular instant, one particle is at phase \(\dfrac{3 \pi}{2}\) and other is at phase zero. While moving in the same direction. Find the time at which they will cross each other.

1 \(3\;T/8\)
2 \(4\;T/2\)
3 \(3\;T/7\)
4 \(3\;T/4\)
PHXI14:OSCILLATIONS

364217 The displacement of two particles executing SHM are represented by equations
\(y_{1}=2 \sin (10 t+\theta), y_{2}=3 \cos 10 t\).
The phase difference between the velocity of these particles is

1 \(-\theta\)
2 \(\theta\)
3 \(\theta-\pi / 2\)
4 \(\theta+\pi / 2\)
PHXI14:OSCILLATIONS

364218 Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to \(A\) and \(T\), respectively. At time \(t = 0\) one particle has displacement A while the other one has displacement \(\frac{{ - A}}{2}\) and they are moving towards each other. If they cross each at time \(t\), then \(t\) is :

1 \(\dfrac{T}{4}\)
2 \(\dfrac{5 T}{6}\)
3 \(\dfrac{T}{3}\)
4 \(\dfrac{T}{6}\)
PHXI14:OSCILLATIONS

364215 Two particles are executing simple harmonic motion of the same amplitude \(A\) and frequency \(\omega\) along the \(x\)-axis. If the maximum separation between them is A the phase difference between their motion is

1 \(\pi / 3\)
2 \(\pi / 2\)
3 \(\pi / 6\)
4 \(\pi / 4\)
PHXI14:OSCILLATIONS

364216 Time period \((T)\) and amplitude (1) are same for two particles which undergo SHM along the same line. At one particular instant, one particle is at phase \(\dfrac{3 \pi}{2}\) and other is at phase zero. While moving in the same direction. Find the time at which they will cross each other.

1 \(3\;T/8\)
2 \(4\;T/2\)
3 \(3\;T/7\)
4 \(3\;T/4\)
PHXI14:OSCILLATIONS

364217 The displacement of two particles executing SHM are represented by equations
\(y_{1}=2 \sin (10 t+\theta), y_{2}=3 \cos 10 t\).
The phase difference between the velocity of these particles is

1 \(-\theta\)
2 \(\theta\)
3 \(\theta-\pi / 2\)
4 \(\theta+\pi / 2\)
PHXI14:OSCILLATIONS

364218 Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to \(A\) and \(T\), respectively. At time \(t = 0\) one particle has displacement A while the other one has displacement \(\frac{{ - A}}{2}\) and they are moving towards each other. If they cross each at time \(t\), then \(t\) is :

1 \(\dfrac{T}{4}\)
2 \(\dfrac{5 T}{6}\)
3 \(\dfrac{T}{3}\)
4 \(\dfrac{T}{6}\)