The x-coordinate of a particle moving on x-axis is given by $x = 3 s i n 100 t + 8 c o s^{2} 50 t$ , where x is in cm and t is time in seconds. Which of the following is/are correct about this motion?

the motion of the particle is not S.H.M.

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the amplitude of the S.H.M. of the particle is

5

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the amplitude of the resultant S.H.M. is

\sqrt{73}

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the maximum displacement of the particle from the origin is

9

cm.

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Solution

The correct options are
B the amplitude of the S.H.M. of the particle is $5$ cm
D the maximum displacement of the particle from the origin is $9$ cm.

Suggest Corrections

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x = 3 s i n [2 π t + \frac{π}{4}]

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