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.
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- In a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (254) mm while the bottom arms are (304) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that positionA loaded governor of the Porter type has equal arms and links each 250 mm long. The mass of eachball is 2 kg and the central mass is 12 kg. When the ball radius is 150 mm, the valve is ful open andwhen the radius is 185 mm, the valve is closed. Find the maximum speed and the range of speed. If themaximum speed is to be increased 20% by an addition of mass to the central load, find what additionalmass is required?In a governor of the Hartnell type the arms of the bell-crank leversare equal in length, and those carrying the operating masses arevertical when the governor is rotating at its mean speed of 775rev/min, with the masses moving in a circle of 175 mm diameter -The usual central controlling spring is replaced by two paralleltension springs direetly connecting the operating masses. Find(a) the magnitude of each operating mass if a force of 90 N isrequired at the sleeve to maintain it in the mean speed positionwhen the specd is increased from 775 to 800 rev/m in(b) the stiffness, or rate, of each spring if the ratio of sleevemovement to increase of speed is 1 mm to 10 revImin when inthe mean speed position.
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- A min cage of mass 4t is to be raised with an acceleration of 1.5m/s2 by a cable passing over a hoist drum of 1.5m diameter. What is the power required when the load has reached a velocity of 6m/s, neglecting the inertia of the drum and weight of the cable, but allowing for bearing friction torque of 3kN at the drum? What is the power required at a uniform velocity of 6m/sA centrifugal clutch has four shoes, each of mass 0·35 kg. When at rest, the radialclearance between the shoes and the clutch drum is 15 mm and the radius to the centre ofgravity of the shoes is 225 mm. The shoes are held on retaining springs of stiffness 10kN/m and the internal diameter of the clutch drum is 600 mm. The coefficient of frictionbetween the drum and the shoes is 0·3.Determine:(a) The speed (in rev/min) at which the clutch starts to engage. For a rotational speed of 1200 rev/min:(b) The force each shoe exerts on the drum. (c) The torque transmitted. (d) The power transmitted.A cylinder of mass M and radius R is rotated in a uniform V groovewith constant angular speed ω. The coefficient of friction betweenthe cylinder and each surface is μ. What torque must be applied tothe cylinder to keep it rotating?
- a=22mist 16w/ Figure Q) “The mass of ahuckey puck 0.80Kg slides on horizontal, frictionless surface of an ice rink. If two hockey sticks srike the puck simulaneously, exerting the acceleration of the puck shown n figure 2. Determine both the magnitude and the direction of the puck’s forces?A loaded governor of the Porter type has equal arms and links each 250 mm long. The mass of each ball is 2 kg and the central mass is 12 kg. When the ball radius is 150 mm, the valve is fully open and when the radius is 185 mm, the valve is closed. Find the maximum speed and the range of speed. If the maximum speed is to be increased 20% by an addition of mass to the central load, find what additional mass is required.In a Porter governor, the mass of the central load is 18 kg and the mass of each ball is 2 kg. The toparms are 250 mm while the bottom arms are each 300 mm long. The friction of the sleeve is 14 N. Ifthe top arms make 45° with the axis of rotation in the equilibrium position, find the range of speed ofthe governor in that position.