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On an incline plane of angle \(45^\circ\), time taken by an object is \(t\) if it is smooth and \(2t\) if it is rough. Find value of \(\alpha\) if friction coefficient is \(\frac{\alpha}{100}\).
On an incline plane of angle \(45^\circ\), time taken by an object is \(t\) if it is smooth and \(2t\) if it is rough. Find value of \(\alpha\) if friction coefficient is \(\frac{\alpha}{100}\).
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When an object slides down an inclined plane with friction, the time taken can be compared using the relationship between acceleration and frictional forces. Use the equation \(\frac{t_{\text{rough}}}{t_{\text{smooth}}}\) to relate the two times and solve for the friction coefficient.
Updated On: Apr 7, 2026
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Correct Answer: 75
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