(10%) Problem 2: A block with a mass of m = 1.5 kg rests on a wooden plank. The coe'icient of static friction between the block and the plank is u; = I9. .78. 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 figure. J1:lIIQUXIM'I'llHTUITIl El 13. 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 F5 for the force of static friction, and F3: for the force of kinetic friction. El Q. 17% Part (b) Assuming the xdirection is along the plank as shown, nd an expression for the magnitude of the force of gravity in the ydirection, Fgu: perpendicular to the plank in terms of given quantities and variables available in the palette. 3| Q, 17% Part (c) Write an expression for the magnitude of the maximum friction force along the surface, F5, in terms of given quantities and variables available in the palette. 3| Q, 17% Part ((1) Assuming the static iction is maximized, write an expression, using only the given parameters and variables available in the palette, for he sum ofthe forces along the plank, EEG. El 415, 17% Part (e) Write an expression for the maximum angle, 3,\(10%) Problem 4: A block is resting on a wooden plank. There is a hinge on one end of the plank which allows the other end to be lifted to create an angle, @, with respect to the horizontal as shown in the figure. The coefficient of static friction between the block and the plank is - X m Otheexpertta.com A 33% Part (a) Please use the interactive area below to draw the Free Body Diagram for the block. Use Fs to denote the force of static friction. A 33% Part (b) The angle - is slowly increased. Write an expression for the angle at which the block begins to move in terms of us. A 33% Part (c) If a student measures that the block begins to move at an angle of 0 = 36.5, what is the numerical value of the coefficient of static friction, #?(10%} Problem 5: A crate that has a mass of m = 6.5 kg rests on a horizontal plane. The coefficient of static friction= as. is 0.15.151 horizontal force= F . is applied to the crate= and it is just y enough to get the crate to begin moving. x \"I Filleexpcrltuxnin E 20% Part (21) Choose the correct Free Bod}! Diagram from the choices below given that Ff is the static friction force. Flv is the normal force and F3 is the weight. I'-I- -|-i Jcormtt! 8 20% Part (b) Vii-"rite an expression for the sum of the forces in the xdirection using the variables from the above Free Bod}r Diagram. Grade Summ arr EF-r = Deduction... Potential 9 8% Submissions Attempts remaining: _ per attempt) detailed View 1 .} Submit Hint l [give up! Hints: deduction per hint. Hints remaining: _ Feedback: deduction per feedback. .53, 20% Part (c) Given the coordinate system specied in the problem statement: write an expression for the sum of the forces in the }'direction. _ Q. 20% Part (d) \\Vrite an expression to show the relationship between the maximum friction force: Ff- and the normal force= F33. .Q' 20% Part (e) Calculate the magnitude of F. in Neva-tons. if Ffis at its maximum. (10%) Problem 6: Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass my = 11.5 kg is on a horizontal table and the other block with mass my = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. m m , Otheexpertta.com 25% Part (a) Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass my experiences in the x-direction. Your answer should involve the tension, I. a = T/m] V Correct! * 25% Part (b) Under the same assumptions, write an expression for the acceleration, a2: the block of mass my experiences in the y-direction. Your answer should be in terms of the tension. T and my- Grade Summary Deductions 4% Potential 96% a B e 7 8 9 HOME Submissions g 6 Attempts remaining: 1 (1% per attempt) h i j 13 detailed view k P END 1 1% T Z VO CLEAR 1% 1% Submit Hint Feedback I give up! 1% Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 1% deduction per feedback. A 25% Part (c) Carefully consider how the accelerations a, and ay are related. Solve for the magnitude of the acceleration, a1: of the block of mass m1 in meters per square second A 25% Part (d) Find the magnitude of the tension in the rope, I, in newtons