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A body of mass m is situated in a potent...

A body of mass m is situated in a potential field U(x) = `V_(0)(1-cos ax)` when `U_(0)` and `alpha` 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 a potential field \( U(x) = V_0(1 - \cos(ax)) \), we can follow these steps: ### Step 1: Determine the Force The force acting on the mass can be derived from the potential energy function. The force \( F \) is given by: \[ F = -\frac{dU}{dx} \] Calculating the derivative of \( U(x) \): ...
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