A) \[y=0.1\cos \left( 6t+\frac{\pi }{4} \right)\]
B) \[y=0.1\sin \left( 6t+\frac{\pi }{4} \right)\]
C) \[y=0.4\sin \left( t+\frac{\pi }{4} \right)\]
D) \[y=0.2\sin \left( \frac{\pi }{2}+2t \right)\]
Correct Answer: B
Solution :
\[A=0,1m,m=0.1kg,K{{E}_{\max }}=18\times {{10}^{-3}}J,\] \[\phi =\frac{\pi }{4}\] \[k=\frac{36\times {{10}^{-3}}}{{{(0.1)}^{2}}}=3.6;\omega =\sqrt{\frac{k}{m}}=\sqrt{\frac{3.6}{0.1}}=6\,\text{red/s}\] \[\therefore \]Eqn. \[y=0.1\sin \left( 6t+\frac{\pi }{4} \right)\]You need to login to perform this action.
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