A) \[\frac{\pi }{3}s,\,30\]
B) \[\frac{\pi }{2},\,s,20\]
C) \[\pi \,s,\,10\]
D) \[2\pi s,\,10\]
Correct Answer: A
Solution :
Since a SHM is defined as \[\frac{{{d}^{2}}y}{d{{t}^{2}}}+0.2\frac{dy}{dt}=-{{\omega }^{2}}y,\] we have \[{{\omega }^{2}}=36\] \[\Rightarrow \,\,\omega =6\] \[\Rightarrow \,\,t=\frac{\pi }{3}\sec \] \[Q.\,\text{factor}=\frac{\omega }{\text{coefficient}\,\text{of}\,\frac{dy}{dt}}=\frac{6}{0.2}=30\]You need to login to perform this action.
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