Q. No.When two displacements represented by y1=asin(ωt) and y2=bcos(ωt) are superimposed,the motion is -
1. not a simple harmonic
2. simple harmonic with amplitude a/b
3. simple harmonic with amplitude √a2 + b2√a2 + b2
4. simple harmonic with amplitude (a+b)/2
The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are
1. kg ms-1 kg ms−1
2. kg ms-2 kg ms−2
3. kg s-1kg s−1
4. kg skg s
| 1. | simple harmonic motion of frequency ωπωπ. |
| 2. | simple harmonic motion of frequency 3ω2π3ω2π. |
| 3. | non-simple harmonic motion. |
| 4. | simple harmonic motion of frequency ω2πω2π. |
The period of oscillation of a mass MM suspended from a spring of negligible mass is T.T. If along with it another mass MM is also suspended, the period of oscillation will now be:
1. TT
2. T/√2T/√2
3. 2T2T
4. √2T√2T
1. πa√32Tπa√32T
2. πaTπaT
3. 3π2aT3π2aT
4. πa√3Tπa√3T
1. Acceleration =−k0x+k1x2=−k0x+k1x2
2. Acceleration =−k(x+a)=−k(x+a)
3. Acceleration =k(x+a)=k(x+a)
4. Acceleration =kx=kx
Two simple harmonic motions of angular frequency 100 rad s−1100 rad s−1 and 1000 rad s−11000 rad s−1 have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. 1:101:10
2. 1:1021:102
3. 1:1031:103
4. 1:1041:104
A point performs simple harmonic oscillation of period T and the equation of motion is given by x= a sin (ωt +π/6).After the elapse of what fraction of the time period the velocity of the point will be equal to half to its maximum velocity?
1. T8
2. T6
3. T3
4 T 12
1. 4aT
2. 2aT
3. 2πT
4. 2aπT
1. 1:2
2. 2:1
3. 2:3
4. 3:2
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