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- A Proell governor has arms of 300 mm length. The upper arms are hinged on the axis of rotation, whereas the lower arms are pivoted at a distance of 35 mm from the axis of rotation. The extension of lower arms to which the balls are attached are 100 mm long. The mass of each ball is 8 kg and the mass on the sleeve is 60 kg. At the minimum radius of rotation of 200 mm, the extensions are parallel to the governor axis. Determine the equilibrium speed of the governor for the given configuration. What will be the equilibrium speed for the maximum radius of 250 mm?Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. The mechanism shows two identical 2-kg bars that are 0.15 m long each. They are hinged together at the lower ends and are supported at the upper ends by small rollers of negligible mass which roll on a horizontal rail. Determine the steady state angle θ assumed by the bars when they are accelerating under the action of a constant horizontal force 375.90 Newtons. Also, find the forces on the rollers at A and B as well as the reactions at the hinge C.A physics student of mass 43.0 kg is standing at the edge of theflat roof of a building, 12.0 m above the sidewalk. An unfriendly dog isrunning across the roof toward her. Next to her is a large wheel mountedon a horizontal axle at its center. The wheel, used to lift objects from theground to the roof, has a light crank attached to it and a light rope wrappedaround it; the free end of the rope hangs over the edge of the roof. Thestudent grabs the end of the rope and steps off the roof. If the wheel hasradius 0.300 m and a moment of inertia of 9.60 kg . m2 for rotation aboutthe axle, how long does it take her to reach the sidewalk, and how fast willshe be moving just before she lands? Ignore friction in the axle.
- Four masses m1, m2, m3 and m4 are 10 kg, 20 kg, 30 kg and 40 kg respectively. The corresponding radii of rotation are 0.1 m, 0.15 m, 0.3 m and 0.35 m respectively and the angles between successive masses are 40°, 60° and 120°. Find the position and magnitude of the balance mass required, if its radius of rotation is 0.5 m.A 1.6-kg tube AB can slide freely on rod DE which in turn can rotate freely in a horizontal plane. Initially the assembly is rotating with an angular velocity of magnitude w = 5 rad/s and the tube is held in position by a cord. The moment of inertia of the rod and bracket about the vertical axis of rotation is 0.30 kg.m2 and the centroidal moment of inertia of the tube about a vertical axis is 0.0025 kg.m2If the cord suddenly breaks, determine (a) the angular velocity of the assembly after the tube has moved to end E, (b) the energy lost during the plastic impact at E.A ball of mass M is suspended from a vertical rod by two cables. The system rotates around this rod axis at angular velocity w. Assuming that the tensile strength of the upper cable is 2 times the tension of the lower cable. Draw a free body diagram for this ball
- A Proell governor has arms of 300 mm length. The upper arms are hinged on the axis ofrotation, whereas the lower arms are pivoted at a distance of 35 mm from the axis of rotation.The extension of lower arms to which the balls are attached are 100.1mm long. The massof each ball is 8 kg and the mass on the sleeve is 60 kg. At the minimum radius of rotation of 200mm, the extensions are parallel to the governor axis. Determine the equilibrium speed of thegovernor for the given configuration. What will be the equilibrium speed for the maximumradius of 250 mm?a trolley of mass m stands on frictionless rails.a rod of mass m and length l is pivoted to the roof of trolley on a frictionless hinge and the and rod is gently left from the horizontal postion as shown in the figure. initialy the whole system was at rest when the rod becomes vertical for the first time.net vertical force offered by the track to the carriage is 16/x mg. find x.A slender rod is 90.0 cm long and has mass 0.120 kg. A small 0.0200 kg sphere is welded to one end of the rod, and a small 0.0800 kg sphere is welded to the other end. The rod, pivoting about a stationary, frictionless axis at its center, is held horizontal and released from rest. 1) What is the linear speed of the 0.0800 kg sphere as its passes through its lowest point?
- Activity 3. A body that weighs W Newtons falls from rest from a height of 600mm and strikes a spring whose scale is 7.00 N/mm. If the maximum compression of the spring is 150 mm, what is the value of W? Disregard the mass of the spring.The thin rod in the figure has a mass of 15kg and is attached to a spring of constant k = 50 N / m at one end, which has an unstretched length of 1.5 m. If the rod is released from rest in a horizontal position (ѳ = 0 °) and only conservative forces act on it, determine:a) What is the moment of inertia of the thin rod around the axis of rotation at A? b) What is the angle at which the rod is momentarily at rest again? c) What is the maximum angular velocity of the path?In a spring controlled governor, mass of each ball of governor is 7 kg and moves radially under the action controlling force E. If the speed range is 420 rpm and 44 rpm with a range of ball path radius r equal to 12.4 cm to 13.2 cm. determine the linear relationship between ball path rudius and controlling force sketch te Grati between F and r. What in the equilibrium speed at r= 12.8 cm?