Momo with mass m is sliding down an inclined plane that makes an angle Φ relative to the horizontal. The coefficient of kinetic friction between Momo and the inclined plane is μk. Obtain an expression for Momo's acceleration along the incline.
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Momo with mass m is sliding down an inclined plane that makes an angle Φ relative to the horizontal. The coefficient of kinetic friction between Momo and the inclined plane is μk. Obtain an expression for Momo's acceleration along the incline.
Assign a rotated Cartesian plane so that the acceleration is along the positive x-axis and the normal force is along the positive y-axis.
The component of the weight parallel to Momo's acceleration is wx = mgΦ.
The magnitude of the frictional force is f = μk.
The normal force on Momo is n = mgΦ.
With these expressions and applying Newton's second law, we arrive at an expression for Momo's acceleration:
a = ( - μk )
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