Q. No.The damping force of an oscillator is directly proportional to the velocity. The units of the constant of proportionality are:
1. kg-msec-1
2. kg-msec-2
3. kg-sec-1
4. kg-sec
1. kg-msec-1
2. kg-msec-2
3. kg-sec-1
4. kg-sec
1. Only (IV) does not represent SHM
2. (I) and (III)
3. (I) and (II)
4. Only (I)
A particle of mass \(m\) is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
The displacement of a particle along the x-axis is given by, x = asin2t. The motion of the particle corresponds to:
| 1. | simple harmonic motion of frequency |
| 2. | simple harmonic motion of frequency |
| 3. | non-simple harmonic motion |
| 4. | simple harmonic motion of frequency |
1. \(T\)
2. \(\frac{T}{\sqrt{2}}\)
3. \(2T\)
4. \(\sqrt{2}T\)
1. \(\frac{\pi a\sqrt3}{2T}\)
2. \(\frac{\pi a}{T}\)
3. \(\frac{3\pi^2 a}{T}\)
4. \(\frac{\pi a\sqrt3}{T}\)
1. Acceleration = -k0x + k1x2
2. Acceleration = -k(x+a)
3. Acceleration = k(x+a)
4. Acceleration = kx
1. 1: 10
2. 1: 102
3. 1: 103
4. 1: 104
A point performs simple harmonic oscillation of period \(\mathrm{T}\) and the equation of motion is given by; \(x=a \sin (\omega t+\pi / 6)\). After the elapse of what fraction of the time period, the velocity of the point will be equal to half of its maximum velocity?
1. \( \frac{T}{8} \)
2. \( \frac{T}{6} \)
3. \(\frac{T}{3} \)
4. \( \frac{T}{12}\)
A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is:
1.
2.
3.
4.
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