The gure shows a cylinder sitting on a platform and the entire structure is held in the position by three cables. It is desired to determine the minimum value of 1.15 between the cylinder and the platform for which the cylinder does not slip on the platform, immediately after the cable AB is cut. The cylinder has a diameter b = 8 in., height h = 6 in. and mass me = 30 lb. The platform CD is of the mass m1] = lO-lb. Fix; (3le dbI- '5" | |_ "3* [A C i\" D _l_ K This is a kinetics problem for rigid bodies. The objectives are to analyze it by using the method EOM (equation of motion) and to program, calculate and plot the allowable minimum value of #5 for no sliding when 5 varies from 0 to 35. From the output data, you will evaluate values of 19, and to determine the critical angle 85, at which slipping of the cylinder impends for a given value of as = 0.60. The lab also includes an analysis of tipping of the cylinder. From the analysis of the tipping condition as a function for the range of 8 studied above, nd the minimum #5 for the no-tipping condition. (a) Draw a FBD - kinetic diagram (free-body diagram equation as per the textbook) for th_e cylinder sitting on the platform, and draw another for the cylinder only, indicating the angle 6 in the diagrams. (b) Using EOM to find the tangential acceleration a: of the system (platform plus cylinder) right at the rope AB is cut. (0) Using EOM to analyze the cylinder (only). Find the friction F and normal N right after the rope AB is cut. Obtain [15 = F /N as a function of the angle 9. For any given 6, us obtained is the minimum required value for non-slip of the cylinder. ((1) Find x as a mction of 9 where x measures the location of the normal force applied to the cylinder; see Figure below. The no-tip condition of the cylinder is dened by x 2 0. (6) From (0), (d), calculate x and ,us for 6' in 00 to 35 with 5 increment. Present your results by the 0 x and t9 us graphs and complete the table below (f) If Ms = 0.60, nd at what 6 slipping will happen. (g) Check all cases to determine if tipping happens. Hint: The tipping of the cylinder at an angle 6 is evaluated by x