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  • The displacement of a particle varies with time according to the relation y = a sint + b cost

The displacement of a particle varies with time according to the relation
y = a \sin t + b \cos t
(a) The motion is oscillatory but not SHM
(b) The motion is SHM with amplitude a + b
(c) The motion is SHM with amplitude a^{2} + b^{2}
(d) The motion is SHM with amplitude \sqrt{{a}^{2} + b^{2}}

Answers (1)

The answer is the option (d) The motion is SHM with amplitude \sqrt{a^{2}+b^{2}}

Explanation: Given: y = a \sin \omega t + b \cos \omega t

Now, we know that,

The amplitude of motion, A = \sqrt{a^{2}+b^{2}}

Thus, opt (d).

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infoexpert24

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