\( A 20 \mathrm{gm} \) particle is subjected to two simple harmonic motions \( \mathrm{P} \) \( ...

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\( A 20 \mathrm{gm} \) particle is subjected to two simple harmonic motions
\( \mathrm{P} \) \( x_{1}=2 \sin 10 t, x_{2}=4 \sin \left(10 t+\frac{\pi}{3}\right) \). where \( x_{1} \& x_{2} \) are in metre \( \& \)

W \( t \) is in sec.
(A) The displacement of the particle at \( t=0 \) will be \( 2 \sqrt{3} \mathrm{~m} \).
(B) Maximum speed of the particle will be \( 20 \sqrt{7} \mathrm{~m} / \mathrm{s} \).
(C) Magnitude of maximum acceleration of the particle will be \( 200 \sqrt{7} \mathrm{~m} / \mathrm{s}^{2} \).
(D) Energy of the resultant motion will be \( 28 \mathrm{~J} \).
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