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  4. If the maximum velocity and acceleration particle executing SHM are equal in magnitude the time period will be

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Q. If the maximum velocity and acceleration particle executing SHM are equal in magnitude the time period will be

CMC MedicalCMC Medical 2007

Solution:

According to question $ \left| {{v}_{\max }} \right|=\left| {{a}_{\max }} \right| $ i.e., $ \omega a={{\omega }^{2}}a $ $ \Rightarrow $ $ \omega =1=\frac{2\pi }{T} $ $ \therefore $ $ T=2\pi $ $ \Rightarrow $ $ T=2\times 3.14 $ $ \Rightarrow $ $ T=6.28\,s $