Question $2$

A $30$ kg box is resting on an incline plane as shown in Figure Q$2.$ The coefficient of

static friction between the crate and the slope is $0\mathrm{.}3$

a$)$ Draw the free body diagram of the box and indicate clearly all forces acting on it$.$

$(4$ marks $)$

b$)$ Determine the minimum force P to prevent the box from sliding down the plane.

$(10$ marks $)$

c$)$ Determine the friction force between the box and the plane.

$(3$ marks $)$