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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 cone clutch transmits the torque C through a conical friction surface with cone angle . The inner and outer radii of the friction surface are a and b, respectively. The left half of the clutch is keyed to the shaft, and the right half drives a machine (not shown) through a gear attached to its outer rim. Assuming uniform pressure on the friction surface, show that the maximum torque that can be transmitted by the clutch isTwo identical chairs, each weighing 14 lb, are stacked as shown. The center of gravity of each chair is denoted by G. The coefficient of static friction is 0.2 at B (the contact point between the chairs) and 0.35 at A, C, and D. Determine the smallest force P that would cause sliding.
- The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find the smallest angle and the corresponding force P that would initiate simultaneous tipping and sliding of the bar.The belt drive in which pulleys rotate in the same direction is used to transfer power. The pulley diameters are 1.74m and 0.833m and it connects two parallel shafts which are 3.25m apart. The initial tension in the belt when it is stationary is 4500N. The smaller pulley is rotating at 710 rpm and coefficient of friction between the belt and pulley is 0.29. Determine the power transmitted by the belt driveA belt drive is required to transmit 12 kW power. The velocity of the belt is 9.6 m/sec. If coefficient of friction is 0.25 and the angle of contact is 150º, determine the maximum tension is the belt.
- The 10 N cylinder moves in a friction tube. Spring constants are k1 = 150 N / m and k2 = 200 N / m. When the system is at rest, d = 0.5 m. The system rotates around a fixed z-axis. In the case where d = 0.12 m, what is the coefficient of friction for the cylinder to have a constant velocity of 9.825 m / s?Two pulleys, one 650 mm diameter and the other 400 mm diameter, on parallel shafts 1.5 m apart are connected by a flat belt. Find the length of the belt required and the angle of contact between the belt and each pulley. What power can be transmitted by the belt when the larger pulley rotates at 1200 rev/min, if the maximum permissible tension in the belt is 10 kN, and the coefficient of friction between the belt and pulley is 0.05? dont write handwritten solution.A multiple vee-belt drive is required to transmit 4 kW. The smaller pulley has of the systemhas a diameter 150 mm and rotates at 200 rev/min. The grove angle is 40° and thecoefficient of friction between the belt and pulley is 0·3.(a) If the maximum tension in any one belt is limited to 800 N and the angle of lap is135°, determine the number of belts required. (b) Determine also, the initial pre-tension required in the belt.
- A horizontal force is exerted on a 150 lb chair at rest. The coefficient of static friction between the chair and the floor is 0.55. Determine the maximum horizontal force that can be applied to the chair before it moves.A box of mass m = 30 kg is at rest on a ramp inclinedat 50° to the horizontal. The coefficients of friction between the box and the ramp are mS = 0.80 and mK = 0.70. Determine the magnitude of the largest force that can be applied upward, parallel to the ramp, if the box is to remain at rest.A pulley system uses a flat belt of cross sectional area 500 mm2 and density 1300 kg/m3. The angle of lap is 165O on the smaller wheel. The coefficient of friction is 0.35. The maximum force allowed in the belt is 600 N. If the the diameter of the smaller wheel is 50 cm and rotates at 3850 rpm , determine Initial tension in the belts and Power transmitted.