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#2-Explanatory Examples
(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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