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A body of mass m is situated in potentia...

A body of mass m is situated in potential field `U(x)=U_(o)(1-cospropx)` where, `U_(o)` and `prop` are constants. Find the time period of small oscillations.

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To find the time period of small oscillations for a body of mass \( m \) situated in the potential field \( U(x) = U_0 (1 - \cos(\text{prop} \cdot x)) \), we can follow these steps: ### Step 1: Identify the Potential Energy Function The potential energy function is given as: \[ U(x) = U_0 (1 - \cos(\text{prop} \cdot x)) \] ...
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