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A body of mass 5xx10^(-3) kg is launched...

A body of mass `5xx10^(-3)` kg is launched upon a rough inclined plane making an angle of `30^(@)` with the horizontal. Obtain the coefficient of friction between the body and the plane if the time of ascent is half of the time of descent.

Text Solution

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When force F is applied
`N_(1) = "mg cos" theta + F "sin" theta`
`(F "cos" theta = "mg sin" theta implies F = "mg tan" theta )`
If F = 0 , `" " N_(2) = "mg cos" theta , " " (N_(1))/(N_(2)) = 1 + (F"sin" theta)/("mg cos" theta)`
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