1. Consider a stationary object of mass ? on a rough surface inclined at an angle ?. Draw a labelled free-body diagram of all the forces acting on the body and include an appropriate set of axes. 2. Using Newton’s laws, find different expressions for the magnitude of the normal force using both the ?-direction and the ?-direction of the chosen set of axes. 3. From the two expressions for the normal force magnitude, find the relationship between the static coefficient of friction, μs and the angle of inclination, ?.

1. Consider a stationary object of mass ? on a rough surface inclined at an angle ?. Draw a labelled free-body diagram of all the forces acting on the body and include an appropriate set of axes. 2. Using Newton’s laws, find different expressions for the magnitude of the normal force using both the ?-direction and the ?-direction of the chosen set of axes. 3. From the two expressions for the normal force magnitude, find the relationship between the static coefficient of friction, μs and the angle of inclination, ?.

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