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- The mass of each ball of a spring controlled grainty governor is 1.4 kg. The bell crank lever has its vertical arm 90 mm long and the horizontal arm 40 mm long. The distance of the fulcrum from the axis of rotation is 45 mm. The sleave has a mass of 7.5 kg, The sleeve begins to rise at 220 r.p.m and rise of sleeve for 6% is 8 mm. Find the initial thrust in the spring and Its stiffness.A Hartnell type spring loaded governor rotates about a vertical axis. The two rotating masses weigh 10 N each rotate at a radius of 130 mm when the speed is 600 r.p.m. At this speed the arms, which are vertical and horizontal, have effective lengths of 110 mm and 80 mm respectively. The equilibrium sped is 630 r.p.m when the rotating masses are at their maximum radius of 160 mm. Determine the stiffness rate of spring, the compression of spring at 600 r.p.m.A vertical open-belt drive connects two pullets A and B the centres of which are 4 m a part. The belt has a mass of 1.15kg/m. Pulley A is 1m diameter, has radius of gyration of 420mm and a mass of 25kg. Pulley B is 0.5m diameter has radius of gyration of 225mm, and a mass of 18kg. when at rest the tension in the belt is 700N. Assuming that the belt obeys Hooke's law, If power of 1.5kW is being transmitted, and the speed of A being 180r.p.m. Neglect belt stretch over the pulleys. Determine: 1. The tension in the two portion of the belt between the pulleys and, 2. The kinetic energy of the belt and pulleys under this conditions.
- 7. A cage of mass 2500 kg is raised and lowered by a winding drum of 1.5 m diameter. A brake drum is attached to the winding drum and the combined mass of the drums is 1000 kg and their radius of gyration is 1.2 m. The maximum speed of descent is 6 m/s and when descending at this speed, the brake must be capable of stopping the load in 6 m. Find 1. the tension of the rope during stopping at the above rate, 2. the friction torque necessary at the brake, neglecting the inertia of the rope, and 3. In a descent of 30 m, the load starts from rest and falls freely until its speed is 6 m/s. The brake is then applied and the speed is kept constant at 6 m/s until the load is 10 m from the bottom. The brake is then tightened so as to give uniform retardation, and the load is brought to rest at the bottom. Find the total time of descent. [Ans. 32 kN ; 29.78 kN-m ; 7.27 s]A uniform disk of mass m = 4 kg and radius r = 150 mm is supported by a belt ABCD that is bolted to the disk at B and C. If the belt suddenly breaks at a point located between A and B, draw the FBD and KD for the disk immediately after the break.11 A cylinder of mass m and mass moment of inertia J is free to roll without slipping, but is restrained by the spring k, as shown in Fig. P2-11. Determine the natural frequency of oscillation. Use:force balance method m. Jo k
- In a Hartnell governor, the lengths of the ball and the sleeve arms are equal. The extreme radil of rotation of the balls are 60 mm and 80 mm and the corresponding speeds are 160 r.p.m and 175 r.p.m. Each ball has a mass of 2 kg. Find the spring stiffness and the initial compression of the central spring.Problems 3.64 and 3.65 Te stem shown is initially at rest when the bent bar starts to rotate about the vertical is AB with constant angular acceleration a son between the collar of mass m = intially d = 70 cm from the spin axis AB. 3 rad/s. The coefficient of static fric- 2 kg and the bent bar is u, = 0.35, and the collar is %3D %3D %3D Problem 3.64 Assuming the motion starts at 1 = 0, determine the time at which the allar starts to slip relative to the bent bar. Figure P3.64 and P3.65 of rotations undergone by the bent bar when the4. Determine a general expression D for the normal force N, exerted m by the smooth vertical wall on the A uniform slender bar of mass m B 30° and length L. The mass of the cylinder is m, and all bearings are ideal. Determine the value of m, which makes (a) N, = mg/2 and (b) N, = 0 L 30° 3 E 2L 3 m1
- Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. A pulley assembly is designed to measure the weight of block F using a counterweight. Springs G and H (k = 960 N/m) are compressed by 0.2 meters. Knowing that the system is in equilibrium, determine the mass of block F. Also, determine the tension carried by cable AI and the forces from bar A and bar C. Notes!There's a single cable from point J to point B. This cable is not attached to the cable from C to F. This cable is also not attached to the horizontal bar at C. There's also a single cable running from A to block M. This cable is not attached to the horizontal bar at A. L is also a block with mass 41 kg.One end of a uniform 2.60m rod with a mass of 38.0kg is supported by a cable connecting one end to the wall so that the cable makes an angle of 42.0° with respect to the rod. The other end rests against the vertical wall, where it is held in place by friction so that the rod is perfectly horizontal. A sign with an unknown mass is hung from the rod 1.90m from the wall so that wall exerts a normal force of 1790N on the rod in the positive x-direction. What is the mass of the sign in kilograms?The 60 kg uniform vertical bar AB of length 2.4 m, is hinged to two massless parallel rods AC and BD, each is 1,2 m long. Bar AB is at rest when 0- 0, and AC is horizontal. A constant counterclockwise moment M-1200 N.m is applied to AC. Answer the follow ing at the instant 0 - 30°. 0.6 m 1.2m 18 m The normal inertia force action on AB The tangential inertia force action on AB= 1.2m The magnitude of the reaction force at B The magnitude of the reaction force at A=