A) \[y=0.1\cos \left( 6t+\frac{\pi }{4} \right)\]
B) \[y=0.1sin\left( 6t+\frac{\pi }{4} \right)\]
C) \[y=0.4sin\left( t+\frac{\pi }{4} \right)\]
D) \[y=0.2sin\left( \frac{\pi }{4}+2t \right)\]
Correct Answer: B
Solution :
\[A=0.1m,\,m=0.1\,kg,\,K{{E}_{\max }}=18\times {{10}^{-3}}J,\phi =\frac{\pi }{4}\] \[k=\frac{36\times {{10}^{-3}}}{{{(0.1)}^{2}}}=3.6;\,\,\omega =\sqrt{\frac{k}{m}}=\sqrt{\frac{3.6}{0.1}}=6\,rad/s\] \[\therefore \] \[Eqn.y=0.1\sin \left( 6t+\frac{\pi }{4} \right)\]You need to login to perform this action.
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