Hello I need help with finding the solutions for these parts with explanations. Please and thank you. Two vertical walls are separated by a distance of x. The wall on the left is perfectly smooth, while the wall onthe right is rough. A uniform board is propped between them, as shown. Your objective: find the length of thelongest board that can be thus propped between the two walls without falling.(i) Draw a free-body diagram of the board. Label clearly the pivot point you will use for calculating torques.Please draw forces directly on the diagram provided. Hints: Call the normal forces from the left and rightwalls L and R, respectively. One of the walls will also provide a friction force. Call the angle that the boardmakes with the horizontal 0.(ii) Write the equilibrium equations for the board, including force components (in x and y) and torque. You willalso need to include a constitutive relation for the static friction.(iii) Solve the equilibrium equations for the tangent of the "critical angle," or the smallest angle that allows theboard to be supported between these two walls. If you have chosen your axis of rotation wisely, this will onlyinvolve some fairlymplebra. The answer should be indndent of any force or mass.(iv) Use the fact that y =x tan 0, along with the Pythagorean Theorem and the result of your analysis in (iii), toobtain the longest supportable board length.(v) Evaluate your answer in (iv) assuming that the walls are 6.84 m apart, the coefficient of static friction is equalto 0.818, and that the board's mass is 42.5 kg.

Solution: Let l be the length of the board. The left side wall experience no frictional force,…

Two vertical walls are separated by a distance of x. The wall on the left is perfectly smooth, while the wall on the right is rough. A uniform board is propped between them, as shown. Your objective: find the length of the longest board that can be thus propped between the two walls without falling. (i) Draw a free-body diagram of the board. Label clearly the pivot point you will use for calculating torques. Please draw forces directly on the diagram provided. Hints: Call the normal forces from the left and right walls L and R, respectively. One of the walls will also provide a friction force. Call the angle that the board makes with the horizontal 0.

Two vertical walls are separated by a distance of x. The wall on the left is perfectly smooth, while the wall on the right is rough. A uniform board is propped between them, as shown. Your objective: find the length of the longest board that can be thus propped between the two walls without falling. (i) Draw a free-body diagram of the board. Label clearly the pivot point you will use for calculating torques. Please draw forces directly on the diagram provided. Hints: Call the normal forces from the left and right walls L and R, respectively. One of the walls will also provide a friction force. Call the angle that the board makes with the horizontal 0.