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#37-Ball in Neck of Air Chamber

(Physics) > Oscillations

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A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resulting amplitude is equal to the amplitude of individual motions, the phase difference between them is:

1. $\frac{\mathrm{\pi}}{3}$

2. $\frac{2\mathrm{\pi}}{3}$

3. $\frac{\mathrm{\pi}}{6}$

4. $\frac{\mathrm{\pi}}{2}$

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The motion of a particle varies with time according to the relation $\mathrm{y}=\mathrm{a}\mathrm{sin}\mathrm{\omega t}+\mathrm{a}\mathrm{cos}\mathrm{\omega t}$. Then

1. The motion is oscillatory but not SHM

2. The motion is SHM with amplitude $a\sqrt{2}$

3. The motion is SHM with amplitude $\sqrt{2}$

4. The motion is SHM with amplitude a

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If a particle is executing SHM, with an amplitude A, the distance moved and the displacement of the body in a time equal to its period are

1. 2A, A

2. 4A, 0

3. A, A

4. 0, 2A

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A particle undergoes SHM with a time period of 2 seconds. In how much time will it travel from its mean position to a displacement equal to half of its amplitude?

(1) $\frac{1}{2}s$

(2) $\frac{1}{6}s$

(3) $\frac{1}{4}s$

(4) $\frac{1}{3}s$

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