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Find the value of p in the relation tau ...

Find the value of p in the relation `tau = (YL^(p))/(cos theta)`
where Y is the young's modulus, `tau` is torque and L is the length.

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To find the value of \( p \) in the relation \( \tau = \frac{Y L^p}{\cos \theta} \), we will analyze the dimensions of each term involved in the equation. ### Step 1: Write down the dimensions of each term. - **Torque (\( \tau \))**: Torque is defined as the product of force and the distance from the pivot point, which can be expressed as: \[ \tau = R \times F \] where \( R \) is the distance (length) and \( F \) is the force. The dimension of force is given by: ...
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