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- Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless.A shaft has three eccentrics of mass 1kg each. The central plane of the eccentrics is 50 mm apart. The distances of the centers from the axis of rotation are 20 mm, 30 mm, and 20 mm and their angular positions are 120 degree apart. Find the amount of out-of-balance force and couple at 600 rpm. If the shaft is balances by adding two masses at a radius of 70 mm and at a distance of 100 mm from the central plane of the middle eccentrics, find the amount of masses and their angular positions. (Use graphical method for solution)A four-cylinder vertical engine has cranks 102 mm long. The planes of rotation ofthe first, second and fourth cranks are 356 mm, 250 mm and 200 mmrespectively from the third crank and their reciprocating masses are 40 kg, 50 kg and 55kg, respectively. Find the mass of the reciprocating parts for the third cylinder and therelative angular position of the cranks in order that the engine is in complete primarybalance.
- Q3/ A shaft has three eccentric of mass 1 kg each. The central plane of the eccentrics is 50 mm apart. The distances of the centers from the axis of rotation are 20, 30 and 20 mm and their angular positions are 120 apart. If the shaft is balanced by adding two niasses at a radius of 70 mm and at a distance 100 mm from the central plane of the middle eccentric, find the amount of the masses and their angular positions.Three masses K, L and M of magnitudes 20 kg, 18 kg and 16 kg are attached rigidly to the shaft. The masses are rotating in the same plane. The corresponding radii of rotation are 160 mm, 190 mm and 130 mm respectively. The angle made by the mass K with horizontal is 50° and the angles between masses K to L 90° and L to M 170° respectively. Find the magnitude of the balancing mass if its .radius of rotation is 200 mm1. The 60-lb flywheel has a radius of gyration about its shaft axis of ko = 15 inches. Starting at 1 = 0 with a speed of 90 rpm, the flywheel is subjected to a torque that will stop the flywheel in 10 s. The torque M ramps up from 0 to Mmax in 3 s, then holds steady at Mmar until stopped. What must be the value of Mmar?
- A single cylinder horizontal engine runs at 120 r.p.m. The length of stroke is 400 mm. The mass of the revolving parts assumed concentrated at the crank pin is 100 kg and mass of the reciprocating parts is 150 kg. Determine the magnitude of the balancing mass required to be placed opposite to the crank at a radius of 150mm which is equivalent to all the revolving and 2/3rd of the reciprocat- ing masses. If the crank turns 30° from the inner dead centre, find the magnitude of the unbalanced force due to the balancing mass.The homogeneous bars have a mass as follows: bar AC has a mass of 7 kg, bar ABhas a mass of 10 kg, and rod BD has a mass of 2 kg. In the drawn position, therod AC has an angular velocity of 4 rad/s and an angular acceleration of 2 rad/s2, both clockwise.Determine the magnitude of the moment M acting on the member AC. Give all the equations neededto solve this question without calculating itThe shaft, bearing two unbalanced masses, rotates at a constant speed of ω = 20 r/s. In the case of balancing in the DI and DII planes, find the balancing values (kg.mm) and their positions.
- A pair of rods and disc form a triangle with a spring (a spring connects A to C). The spring has a spring constant of 20 N/m and an unstretched length of 1.5m. each rod has a length of 3m and a mass of 10kg. The disk has a mass of 5kg, a radius of .5 and rolls without slipping. The system starts with an angle between the spring and rods of 60 degrees, determine the angular velocity of the rods after it has dropped to a 30 degree angle.A 96.6 lb is fastened to a cord which is wrapped around a solid cylinder of 3ft radius weighing 322 lb. The cylinder rotates about its horizontal and centroidal axis. What torque applied to the cylinder will raise the weight with an acceleration of 12ft per second? What will be the total bearing reaction?The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of ? = 55° shown in the figure. Find the tension forces at the strings AB and AC.