Show that the frictional relationship between the belt tensions, the coefficient of friction μ, and the angular contacts a and ß for the V-belt is T₂ = T₁ eMß/ sin(a/2) Impending motion T₂ B
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- The square-threaded screw 0f the C-clamp has a mean diameter of 8 mm and a pitch of 1.6 mm. The coefficient of static friction between the threads is 0.2. If the torque C=1.50Nm is used to tighten the clamp, determine (a) the clamping force; and (b) the torque required to loosen the clamp.The single-plate clutch transmits the torque C from the input shaft on the left to the output shaft on the right. Compression springs between the clutch housing and the pressure plate provide the necessary pressure on the friction surface. The splines prevent the clutch plate from rotating relative to the output shaft. If Ri=4 in. and R0=9 in., determine the total force that must be applied to the pressure plate by the springs if the clutch is to transmit a torque of C=56lbft when it is new.The screw of the carjack has a pitch of 0.1 in. and a mean radius of 0.175 in. Note that the ends of the screw are threaded in opposite directions (right- and left-handed threads). The coefficient of static friction between the threads is 0.08. Calculate the torque C0 that must be applied to the screw in order to start the 1200-1b load moving (a) upward; and (b) downward.
- The single-threaded screw of the floor jack has a pitch of 0.5 in. and a mean radius of 1.75 in. The angle of static friction is 8.5. (a) Determine the couple C that must be applied to the screw to start lifting a weight of 4000 lb. (b) What is the couple required to start lowering the weight?The three identical rollers are stacked on a horizontal surface as shown. If the coefficient of static friction µ is the same for all pairs of contacting surfaces, find the minimum value of μs for which the rollers will not slip. - Answer: Us=3. Blocks A and B have a mass MA and MB, respectively. If the coefficient of static friction between A and B and between B and C is us and between the ropes and the pegs D andE µ's, determine the smallest force F needed to cause motion of block B. Given: E e = 45 deg Hs = 0.25 MA = 100 kg He's = 0.5 Mв 3 150 kg Р%3 30 N B m g = 9.81
- The horizontal force P = 90 N is applied to the upper block with the system initially stationary. The block masses are mA = 14.4 kg and mB = 5.1 kg. Use g = 9.81 ms-2. Determine the magnitude of the frictional force that block B exerts on block A. The coefficients of static friction are µ1 = 0.40 and µ2 = 0.50. The coefficients of kinetic friction are 75% of the respective static values. Give your answer in Newtons.- Blocks A and B have a mass of 7 kg and 10 kg, respectively, and there are pulleys at C and D. Using the coefficients of static friction indicated, determine the following: 1- The smallest force P which can be applied to the cord that causes impending motion. 2- Does block B spill, flip over, or nothing happen? Prove that. 400 mm B PAB=0.1 A P T 500 mm Kha=0.31. The blocks shown are connected by flexible, inextensible cords passing over frictionless pulleys. At A the coefficients of friction are us = 0.30 and μ = 0.20 while at B they are μ = 0.40 and μ = 0.30. Compute the magnitude and direction of the friction force acting on each block. 3 kN 3 B 2 kN
- T (N) 5000 N A T T= 500 t t (s) t1 te 12 The coefficients of static friction and kinetic friction are 4, = 0.3 and 44 = 0.2, respectively, between the crate and the surface. The motor is towing the 1000 kg crate and rests on the flat surface. It delivers an increasing horizontal pulling force of T = 500 t5² Newton, where t is in second, to its cable at A, after which the force is kept constant at 5000 N. Determine the velocity (m/s) of the crate when t2 = 5 s.Find the least value of P and its inclination from the horizontal that will just start the system of block moving to the right. The coefficient of friction under each block is 0.30. The pulley is frictionless and Block A weighs 300N and block B weighs 400N. В 30°The figure shows a part of a machine used to crush recycled cans. Link ABC is attached to the ground at pin A and link BD is attached to the piston D using also a pin connection. When α=45°, θ=55°, and β=15°, the machine is about to start moving, i.e. impending motion. If the coefficient of static friction and kinetic friction between the piston D and the wall are μs=0.25 and μk=0.2 respectively, find the magnitude of force applied to the cans by the piston for P=200 kN.