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- A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The coefficients of static and kinetic friction for the two points of contact are as shown. Determine whether the plank moves from the position shown if (a) the plank is placed in position before the drum is set in motion; and (b) the plank is first placed on the support at A and then lowered onto the drum, which is already rotating.The force P applied to the brake handle enables the band brake to reduce the angular speed of a rotating drum. If the tensile strength of the band is 3800 lb, find the maximum safe value of P and the corresponding braking torque acting on the drum. Assume that the drum is rotating clockwise.The tension in a pulley belt is 300 N when stationary. The smaller pulley has a diameter of 300 mm and a speed of 1420 rev/min. The coefficient of friction between the belt and the pulley is 0·4 and the angle of lap is 160°. (a) Calculate the tension in each side of the belt at operating speed. (b) Determine the power transmitted when the belt is on the point of slipping. If the pulley system uses a flat belt of CSA 500 mm² and density 1300 kg/m3, determine: (c) The power transmitted, when the mass of the belt is taken into consideration.
- The ratio of tension on the tight side to that of the slack ride in a flat belt drive is (a) proportional to the product of coefficient of friction and lap angle (b) an exponential function of the product of coefficient of friction and lap angle (c) proportional to lap angle (d) proportional to the coefficient of frictionThe arms of a Hartnell governor are of equal length. When the sleeve is in the mid- position, the masses rotate in a circle with a diameter of 150 mm (the arms are vertical in the mid-position). Neglecting friction, the equilibrium speed for this position is 360 rpm. Maximum variation of speed, taking friction into account, is to be 6% of the mid- position speed for a maximum sleeve movement of 30 mm. The sleeve mass is 5 kg and the friction at the sleeve is 35 N. Assuming that the power of the governor is sufficient to overcome the friction by 1% change of speed on each side of the mid-position, find (neglecting obliquity effect of arms), the (i) mass of each rotating ball (ii) spring stiffness (iii) initial compression of the springClutch Mechanism 8. In the clutch mechanism shown, two flat circular disks of radius R are mounted so that they can be brought into contact causing a net frictional force. The contact pressure in general depends on the distance from the center and in one specific case may be modeled buy P(r) = Poe-kr, where k is a constant and r is the distance from the center of the discs. The integral cR F = 2m " P(r)rdr gives the total contact force between the discs. Cross-section a. In your own words explain where this formula comes from.
- Two parallel shafts whose centre lines are 4 m apart, are connected by an open belt drive. The diameter of the larger pulley is 1.8 m and that of smaller pulley 3 m. The initial tension in the belt when stationary is 3 kN. The coefficient of friction between the belt and the pulley is 0.3. Calculate the power transmitted, when the smaller pulley rotates at 550 r.p.m. and length of the belt.3. A V-belt drives a pulley at a speed of 1440 m/min. The coefficient of friction between belt and pulley is 0.3, semi V-groove angle is 22.5° and angle of contact of belt with the pulley is 160°. If the mass of the belt is 0.45 kg/m and if permissible pull in the belt is 800 N. Calculate the power. Consider the centrifugal tension in the belt.2. A square threaded screw of mean diameter 25 mm and pitch of thread 6 mm is utilised to lift a weight of 10 kN by a horizontal force applied at the circumference of the screw. Find the magnitude of the [Ans. 966 N] force if the coefficient of friction between the nut and screw is 0.02. A bolt with a squore threaded screw has mean diameter of 25 mm and a nitch of 23 mm It carries an
- The system shown below is made up of two pulleys attached to the same shaft, with radii ri and re of 0.29 mm and 0.43 mm, respectively. The total mass of the pulley system is 14 kg and its turning radius is 0.26 mm from its center. The mass of block A is 9 kg and the mass of block B is 2 kg. If the coefficient of kinetic friction between block B and the floor is 0.2, find the angular acceleration of the pulley.8. Figure 7 shows a four-wheel drive car of mass m = 970 kg. The coefficients of friction is H=0.6. Neglect the mass of the tyres. (a) Determine the greatest possible acceleration of the race car so that its front tyres do not kave the ground nor the tyres slip on the track. (b) Determine the corresponding reactions on tyres A and B. (c) From (b) above, recaleulate the coefficient of friction. If it is not same as either the given values Hs or k, then in one sentence, state or explain why the difference in values? h=0.55 m a= 1,82 m b = 2.20 m Figure 7In an engine governor of the Porter type, the upper and lower arms are 200 mm and 250 mm respectively and pivoted on the axis of rotation. The mass of the central load is 15 kg, the mass of each ball is 2 kg and friction of the sleeve together with the resistance of the operating gear is equal to a load of 24 N at the sleeve. If the limiting inclinations of the upper arms to the vertical are 30° and 40°, find, taking friction into account, range of speed of the governor.