Please answer a-f.

(10%) Problem 3: A block with a mass of m = I .5 kg rests on a wooden plank, The coefcient of static friction between the block and the plank is [AS = 0.46. One end of the board is attached to a hinge so that the other end can be lifted forming an angle, 0, with respect to the ground. Assume the x-axis is along the plank .V as shown in the gure. \\/ x l lIIL'L'\\|)CI'I1:I.L'(Hll A 17% Part (3) Please use the interactive area below to draw the Free Body Diagram for this block, assuming it is in static equilibrium. If necessary, use Fs for the force of static friction, and Fk for the force of kinetic friction A 17% Part (b) Assuming the x-direction is along the plank as shown, nd an expression for the magnitude of the force of gravity in the y-direction, F g , perpendicular to the plank in terms of given quantities and variables available in the palette. A 17% Part (c) Write an expression for the magnitude of the maximum friction force along the surface, F s, in terms of given quantities and variables available in the palette, A 17% Part ((1) Assuming the static friction is maximized, write an expression, using only the given parameters and variables available in the palette, for the sum of the forces along the plank, ZFX. A 17% Part (e) Write an expression for the maximum angle, 0,", that the board can make with respect to the horizontal before the block starts moving, (Write in terms of the given parameters and variables available in the palette.) A 17% Part (0 Solve numerically for the maximum angle, 0\