Question

Derive an expression for a body moving down a rough inclined plane and a body moving up a rough inclined plane.

Answer 1

$$\begin{gathered} Whenbodygoesupthroughroughinclinedplane: \\ netforceofthemotionisgivenby: \\ F=frictionforce+mg\sin \theta \\ where\theta istheangleofinclanation \\ F=\mu mg+mg\sin \theta \\ where\mu isthecoefficientoffriction. \\ accelerationisgivenby: \\ a=\mu g+g\sin \theta \\ fordowwardmotion. \\ netforceisgivenby: \\ F=mg\sin \theta -frictionalforce \\ F=mg\sin \theta -\mu mg \\ a=g\sin \theta -\mu g \end{gathered}$$