.2.1/2 Determine the minimum speed v and the corresponding angle in order that the motorcycle may ride on the vertical wall of a cylindrical track. The effective coefficient of friction between the tires and the wall is 0.60.
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- The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a mean radius of 75 mm. The static and kinetic coefficients of friction between the gear and the screw are 0.12 and 0.06, respectively. The input torque applied to the screw is C0=10Nm. Assuming constant speed operation, determine the output torque C1 acting on the gear.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.Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.
- Calculate the maximum force P that can be applied without causing any motion for the given coefficients of static friction. The weight of block A is 20 lb. and that of B is 10 lb. MB = 0.4 2 ft. B A 3 ft. MA=0.5 P MD=0.3 D Pc=0.35 CA car with a four-wheel drive weighs 3000 lb and has a wheelbase of 10 ft. The e.g. is 3 ft above the pavement and 4 ft ahead of the rear wheels. Compute the active force acting at the rear wheels when the car accelerates at 1/3 g ft per sec^2? Asume the coefficient of friction is equal at all four wheels.Find the tension in each cord and the acceleration of the blocks. The coefficient of friction for all contact surfaces is 0.15 and the pulleys are frictionless.
- A force of 200 N is exerted on a snack box of 5 kg still on the floor. If the coefficient of friction is 0.3, calculate the static friction.2 A ladder 5 m long and weighing 260 N is placed against a vertical wall at an inclination of 30 ^ 0 with wall. A wan weighing 780 N climbs the ladder. When he is at a distance of 1.64 m along the ladder from lower all contact surfaces? end, the ladder slips. What is the coefficient of friction assuming it to be same forA block with a mass of 100 kg (left-block) is connected to another block of mass M (right-block) by a cable that passes over a fixed drum as shown below. The coefficient of static friction between the left-block and the floor is 0.45, between the right-block and floor is 0.4, and between the cable and the fixed drum is 0.25. Ignore tipping (overturning). Determine the minimum mass of the left-block for which motion does not occur.
- 30° 5. A box weighs 150 kg. The coefficient of static friction between the box and the ground is 0.3. Determine if the 80 kg man can pull the box without slipping when the coefficient of static friction between the man's shoes and the ground is 0.4. Hint: analyse block and man separately i.e. draw separate FBDSBlock A weighs 10.5 lb and block B weighs 6.5 lb. The static friction coefficient between blocks A & B is 0.32. The static friction coefficient between blocks B and the inclined surface is 0.37. If the incline is ? = 30∘ what is the smallest force P required for motion?For the given system below, the coefficient of static friction between surfaces are fAB = 0.20, fBC = 0.10 and fD = 0.15. Block B impends to slide to the right. The resultant of friction and normal force exerted by C on B makes an angle of: