Problem 2: A block with a mass ofm = 1.5 kg rests on a wooden plank. The coefficient of static friction between the block and the plank is #3 = 0.44. One end of the board is attached to a hinge so that the other end can be lifted forming an angle, 9, with respect to the ground. Assume the x-axis is along the plank as shown in the gure. \\/ X l'thcmpcr'll :1.cn rn Part (2) Please use the interactive area below to draw the Free Body Diagram for this block, assuming it is in static equilibrium. If necessary, use F5 for the force of static friction, and Fk for the force of kinetic friction. FBD . Force Labels: Fn, Fg, Fs, Fk, a, v Angle Labels: 45, 0, 90, 135, 180, 225, 270, 315, 8 Part (b) Assuming the xdireetion is along the plank as shown, find 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. 11:38 AM Thu Sep 22 - - - a: n 52%@- ustBca.theexpertta.com B Part (21) Please use the interactive area below to draw the Free Body Diagram for this block, assuming it is in static equilibrium. If necessary, use Fr for the force of static friction, and Fk for the force of kinetic friction. FBD . Force Labels: Fn, Fg, Fs, Fk, a, v Angle Labels: 45, 0, 90, 135,180, 225, 270, 315, 9 Part (b) Assuming the xdirection is along the plank as shown, find 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. Expression Fg: Select from the variables below to write your expression. Note that all variables may not be required. acotanms), annals), cosw), cosop), cosw), smut), sinmr), sinm), tanw), a, I3, pk, us, a, b, d, g, h, m, t Part (6) Write an expression for the magnitude of the maximum friction force along the surface, F 5, in terms of given quantities and variables available in the palette. Expression Fs : Select from the variables below to write your expression. Note that all variables may not be required. acotanms), annals), cosw), cosop), cosw), smut), sinmr), sinm), a, pk, us, b, g, m, t Part (d) Assuming the static friction is maximized, write an expression, using only the given parameters and variables available in the palette, for the sum ofthe forces along the plank, ZFX. Expression EFX = Select from the variables below to write your expression. Note that all variables may not be required. acotanms), atanms), cosm), cos((p), cos(B), sin(a), sin(qr), sin(9), (1, pk, '15, b, g, m, t Part (e) Write an expression for the maximum angle, 6m, 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 6m = Select from the variables below to write your expression. Note that all variables may not be required. acotanms), atants), cos(tt), cos((p), cos(3), sin(u), sin((p), sin(9), tan(B), (1, pk, us, 0, b, t Part (f) Solve numerically for the maximum angle, 9m, in degrees. Numeric : A numeric value is expected and not an expression. Hm : Problem 3: Shown to the right is a block of mass m sitting on a ramp that makes an angle 9 with the horizontal. This block is being pushed by a horizWen