Answer question 2 parts d-f Problem 2: A block with a mass of m = 1.5 kg rests on a wooden plank. Thecoefficient of static friction between the block and the plank is u, = 0.78. One end ofthe 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 as shown in the figure.Part (a)Fs for the force of static friction, and Fk for the force of kinetic friction.FBD :draw the Free Body Diagram for this block, assuming it is in static equilibrium. If necessary, useForce Labels:Fn, Fg, Fs, Fk, a, v45,0, 90, 135, 180, 225, 270, 315, 0Angle Labels:Part (b) Assuming the x-direction is along the plank as shown, find an expression for the magnitude of the force of gravity in the y-direction, Fey,perpendicular to the plank in terms of given quantities and variables available in the palette.Expression :gySelect from the variables below to write your expression. Note that all variables may not be required.acotan(u,), atan(u,), cos(a), cos(), cos(0), sin(a), sin(o), sin(0), tan(0), a, ß, uk, Us, 0, b, d, g, h, m, tPart (c) Write an expression for the magnitude of the maximum friction force along the surface, F,, in terms of given quantities and variablesavailable in the palette.Expression :F =Select from the variables below to write your expression. Note that all variables may not be required.acotan(us), atan(us), cos(a.), cos(4), cos(0), sin(a), sin(4), sin(0), a, µk, µs, b, g, m, tPart (d) Assuming the static friction is maximized, write an expression, using only the given parameters and variables available in the palette, forPage Part (b) Assuming the x-direction is along the plank as shown, find an expression for the magnitude of the force of gravity in the y-direction, Fgy,perpendicular to the plank in terms of given quantities and variables available in the palette.Expression :FgySelect from the variables below to write your expression. Note that all variables may not be required.acotan(u,), atan(u,), cos(a), cos(4), cos(0), sin(a), sin(4), sin(0), tan(0), a, ß, µk, µs, 0, b, d, g, h, m, tPart (c) Write an expression for the magnitude of the maximum friction force along the surface, F, in terms of given quantities and variablesavailable in the palette.Expression :Fs =Select from the variables below to write your expression. Note that all variables may not be required.acotan(us), atan(u,), cos(a), cos(4), cos(0), sin(a), sin(o), sin(0), a., µk, µs, b, g, m, tPart (d) Assuming the static friction is maximized, write an expression, using only the given parameters and variables available in the palette, forthe sum of the forces along the plank, EF..Expression :EF xSelect from the variables below to write your expression. Note that all variables may not be required.acotan(u,), atan(u,), cos(a), cos(4), cos(0), sin(a), sin(4), sin(0), a., µk, µs, b, g, m, tPart (e) Write an expression for the maximum angle, 0m, 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.)Expression :OmSelect from the variables below to write your expression. Note that all variables may not be required.acotan(u), atan(µ,), cos(a), cos(4), cos(0), sin(a), sin(4), sin(0), tan(0), a, µk, µs, 0, b, tPart (f) Solve numerically for the maximum angle, 0m, in degrees.Numeric : A numeric value is expected and not an expression.Om =

Problem 2: A block with a mass of m = 1.5 kg rests on a wooden plank. The coefficient of static friction between the block and the plank is u, = 0.78. 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 as shown in the figure.

Problem 2: A block with a mass of m = 1.5 kg rests on a wooden plank. The coefficient of static friction between the block and the plank is u, = 0.78. 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 as shown in the figure.

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