Determine the magnitude of the force P
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- The two homogeneous bars AB and BC are connected with a pin at B and placed between rough vertical walls. If the coefficient of static friction between each bar and the wall is 0.25, determine the largest angle 6 for which the assembly will remain at rest.The leather rein used to fasten the horse to the hitching rail weighs 3.5 oz per foot. The coefficient of static friction between the rail and the rein is 0.6. If a 34-lb force acting on the bridle is sufficient to restrain the horse, determine the smallest safe length L for the free end of the rein.Two 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 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 isThe 60-lb plank rests on a frictionless roller at A, and the 20-lb triangular support BD. Both bodies are homogenous. The coefficients of static friction are 0.4 at B and 0.3 at D. Determine the largest force P that can be applied to the plank without initiating motion.Determine the maximum and minimum values of weight "W" that the block on the left can have without the 100-N block on the right side slipping. The coefficients of static friction between the block and the inclined plane, and between the rope and the drum D are: mu_1 = 0.2 and mu_2 = 0.3, respectively. By what percentage would the maximum value of W vary if both coefficients of friction doubled?
- A 16-lb spool is at rest on an inclined surface. Around its center a cable is wound which travels with the same inclination of the ramp, passes through a frictionless pulley, and is attached to a block B at its other end.The coefficient of static friction between block B and the floor is 0.25. For the position shown, with the given value of α, determine: R (in) = 11,1 in r (in) = 7 in α (°) = 16° 1. The minimum coefficient of static friction that must exist between the reel and the floor of the ramp, so that the reel does NOT slide on the ramp (does not slip). 2.The minimum weight that block B must have for the reel to NOT roll down the ramp dragging block B. Do not allow for the possibility of the block turning or tipping over.The man is pushing the dresser (of uniform weight) across a laminate surface. The dresser has a weight of 80 lb, and the coefficient of friction, ?? =0.25. If the man pushes in the direction shown.a) Determine the smallest force F necessary to slide the dresser. (slipping).b) Determine the smallest F necessary to tip the dresser.c) Which way will the dresser move first?d) The man has a weight of 150 lb. given the answer to part a and b, determine the minimum coefficient of friction between the man’s shoes and the floor so that he doesn’t slipThe square-threaded worm gear shown has a mean radius of 2 in. and a lead of 0.5 in. The large gear is subjected to a constant clockwise couple of 9.6 kip.in Knowing that the coefficient of static friction between the two gears is 0.12, determine the couple that must be applied to shaft AB in order to rotate the large gear counterclockwise. Neglect friction in the bearings at A, B, and C.
- In the photo, the man has a mass of 60 kg and the crate has a mass of 100 kg. The coefficient of static friction between his shoes and the ground is μs = 0.4 and between the crate and the ground is μc = 0.3. a) Determine if the man is able to move the crate using the rope-and-pulley system shown. b) Prove your answer to part A by calculating the static frictional force F between the man's shoes and the ground required to move the crate and the maximum static frictional force Fmax which can be developed. Express your answers in newtons to three significant figures separated by a comma.A 60-kg cabinet is mounted on casters that can be locked to prevent their rotation. The coefficient of static friction between the floor and each caster is 0.35. 3. If h = 600 mm, determine the magnitude of the force P (in N) required to move the cabinet to the right if the casters at A are locked and the casters at B are free to rotate. (ANSWER: 72.5)A safety device used by workers climbing ladders fixed to high structures consists of a rail attached to the ladder and a sleeve that can slide on the flange of the rail. A chain connects the worker’s belt to the end of an eccentric cam that can be rotated about an axle attached to the sleeve at C. Determine the smallest allowable common value of the coefficient of static friction between the flange of the rail, the pins at A and B , and the eccentric cam if the sleeve is not to slide down when the chain is pulled vertically downward.