. 16.27 The 10-in.-radius brake drum is attached to a larger flywheel that is not shown. The total mass moment of inertia of the drum and the flywheel about point C is 15 lb - ft. s², and the coefficient of kinetic friction between the drum and the brake shoes is 0.35. When the hydraulic cylinder Fis actuated, it exerts a force of 30 lb directed to the right on point B and to the left on point E. Knowing that the angular velocity of the flywheel is 360 rpm counterclockwise when F is actuated, determine the number of revolutions executed by the flywheel before it comes to rest.

Mechanical Engineering Question

A shaft carries four masses A, B, C and D of magnitude 10 kg, 20 kg, 15 kg and 25 kg respectively and revolving at radii 100 mm, 50mm, 80 mm and 120mm in planes measured from A at 100 mm, 300 mm and 500 mm.The angles between the cranks measured anticlockwise are A to B = 40°, B to C = 50° and C to D = 150°.The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 50 mm, between X and Y is 350mm.If the balancing masses revolve at a radius of 50 mm, find the magnitude for mass on plane X (consider plane X as the refernce plane).Select one:A.78.8 kgB.68.8 kgC.98.8 kgD.48.8 kg    For the data given in Question 4, find the magnitude for mass on plane Y (consider plane X as the reference plane).Select one:A.59.1 kgB.69.1 kgC.99.1 kg D.49.1 kg

Each of the gears A and B has a mass of 10 kg and a radius of gyration of 190 mm, while gear Chas a mass of 2.5 kg and a radius of gyration of 80 mm. Consider that a couple M of constant magnitude 10 N-m is applied to gear C. 250 mm 250 mm 100 mm Determine the corresponding tangential force acting on gear A. The corresponding tangential force acting on gear A is 26.35 O N.

A shaft with 3 meters span between two bearings carries two masses of 10 kg and 20 kg acting at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in which these masses rotate are 1.2 m and 2.4 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60°. The speed of rotation of the shaft is 200 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.3 m and placed at 0.3 m from each bearing centers, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e. mass of 10 kg ‎‏Note: It must be solved using the graphic method, not the equations method.

3. The 10-in.-radius brake drum is attached to A a larger flywheel which is not shown. The total mass moment of inertia of the flywheel and drum is 16 lb · ft · s² and the coefficient of kinetic 6 in. friction between the drum and the brake shoe is В 0.40. Knowing that the initial angular velocity is 240 rpm clockwise, determine the force which must be exerted by the hydraulic cylinder if the system is to stop in 75 revolutions. 12 in. D Use work-energy equation. 10 in. +6 in.-

4. (20 pts) A concrete block is lifted by a hoisting mechanism in which the cables are securely wrapped around their respective drums. The drums are fastened together and rotate as a single unit at their center of mass O. Combined mass of drum is 150 kg, and radius of gyration at O is 450 mm. A constant tension of 1.8 kN is maintained in the cable by the power unit at A. Determine the vertical acceleration of the block and the resultant force on the bearing at O. 600 mm 300 mm P = 1.8 kN m = 150 kg ko = 450 mm %3D 45° 300 kg

4. A garage door (8 ft by 10 ft) weighs 200-lbs is pulled with a constant 25-lb horizontal force to open it as shown. Assume the door rollers (A & B) are frictionless and the door does not rotate or lift off rollers A & B. G is the center of mass of the door. Determine: a. Reactions forces at each roller support (A & B) b. The constant acceleration of the door. c. The time for the door to move 10 feet. Assume it starts from rest. Draw FBD and write governing equations. Show all work. 8 ft 1 ft 5 ft 4 ft -8 ft 10 ft B 3 ft 25 lbs

3. The connecting rod of the steam engine shown schematically is assumed to be a slender uniform rod. 4 ft long weighing 322 Ib. the crank AO is 1ft long and rotates at a constant rate of 10 rad/s. the force on the 64.4 Ib cross-head at the given instant is 2142 Ib. neglecting friction. Determine the normal force on the crosshead and the horizontal and vertical components at crank pin force at A. А 45deg В

Problem 2: The drum shown weighs 80lb and has a mass moment of inertia about O of 0.8 lb.ft?. Starting from rest, the cable wrapped around the drum is subjected to a vertical force P which resulted in a constant angular acceleration of 20 rad/s². Determine magnitude of P and the reaction at the support pin at O. Neglect the mass of the cable 0.5 fi