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#8-Solved Examples 1

(Physics) > Oscillations

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The variation of acceleration, \(a~\) of a particle executing SHM with displacement \(x~\) is:

1. | 2. | ||

3. | 4. |

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The motion of a particle varies with time according to the relation $\mathrm{}$

\(y= a\sin\omega t+ a\cos \omega t\). Then:

1. | The motion is oscillatory but not SHM |

2. | The motion is SHM with an amplitude \(a\sqrt{2}\) |

3. | The motion is SHM with an amplitude \(\sqrt{2}\) |

4. | The motion is SHM with an amplitude \(a\) |

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The displacement of a particle executing SHM is given by y = 0.25 (sin 200t) cm. The maximum speed of the particles is:

1. 200 cm/sec

2. 100 cm/sec

3. 50 cm/sec

4. 0.25 cm/sec

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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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A second's pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket:

(1) Comes down with uniform acceleration

(2) Moves around the earth in a geostationary orbit

(3) Moves up with a uniform velocity

(4) Moves up with the uniform acceleration

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