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- The 20-lb block has friction coefficients of μ = 0.4 and = 0.35, with the inclined surface. Find a. the angle where the 10-lb block begins to slide b. the acceleration of the block at the angle where it first slides c. the acceleration of the block at an angle 10° past the angle in b. If you use cartesian coordinates with x-along the slope, the problem is easier. B ADetermine the greatest angle 0 so that the ladder does not slip when it supports the man (of the mass of m) in the position shown. The coefficient of static friction at A and B is Hs. Ignore the weight of the ladder. Use m = 93 kg, Hs = 0.48, a=2.5m, b=0.25m, g = 9.81 m/s?. b a e to the nearest integer (deg) =The man pushes on the roller with force P through a handle that connects to the central axle of the roller. If the coefficient of static friction between the 43-lb roller and the floor is Hs = 0.21, and the force Pis maximum so that the roller is about to slip, determine the angular acceleration of the roller (in rad/s?). Assume the roller to be a uniform cylinder. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 32.2 ft/s?. 1.5 ft 30°
- consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless what is the acceleration of mass m2 on the inclined plane? take positive acceleration to be up the ramp a2 = ?1.The figure shows 3 blocks. Block C hangs from a rope which passes through a fixed cylinder and is attached to block B. Find the maximum mass of block C so that block B does not move to the right. Take into account that there are frictional forces at all points of contact. Consider the given values of the masses and , the coefficient of static friction between surfaces µ1 and the coefficient of friction static between the cylinder and the uC chord. Here are the values: ma= 72 kg mb= 62 kg u1= 0,47 uC=0,37A car had a speed of 60 km/h when its brakes are applied causing the car to slip. What is the coefficient of kinetic friction if the car stopped after 55m? 0 = 20° Select one:
- The 500KN block shown is in contact with a 45°incline. The w coefficient of friction is 0.25. Determine the horizontal force P necessary to 1.Just start the block up the 45° incline 2.Just to prevent the motion down the incline. 3.lf P=400KN, what is the amount and direction of friction force?1. The car has a mass of 1600 kg and centre of mass at G. If the coefficient of static friction between the shoulder of the road and the 0.75m tires is u = 0.4 determine the greatest slope 0 the shoulder can have without causing the car to slip or tip over if the car travels along the shoulder at constant velocity. [Ans. 0 = 21.8°] 1.5m TRY THIS PROBLEM AFTER YOU'VE DONE THE BF LABA box with mass m = 2.75 kg rests on the top of a table. The coefficient of static friction between the box and the table is μs = 0.71 and the coefficient of kinetic friction is μk = 0.34. Write an expression for Fm the minimum force required to produce movement of the box on the top of the table. Solve numerically for the magnitude of the force Fm in Newtons. Write an expression for a, the box's acceleration, after it begins moving. (Assume the minimum force, Fm, continues to be applied.) Solve numerically for the acceleration, a in m/s2.
- 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 spool and a vertical force of P = 250 N is applied to the cable. Determine the following: a) The acceleration of G, b) The angular acceleration of the spóol, and c) The Friction force. where the coefficients of static and kinetic friction between the 400mm of 200mm rail and the spool are u, = 0.25 and u = 0.2, respectively. The mass of the spool is 150 kg. The radius of gyration of the spool is kg = 250 mm (about its center of mass G). The Friction force (N) = Choose... + The acceleration of G (m/s2) = %3D Choose... + The angular acceleration of the spool (rad/s2): Choose...Determine the value of "h" in meter for a wheel having a mass of 20 kg and diameter of 0.80 m. pushed to the left without rotation and with an acceleration of 2.5 m per sec². The coefficient of friction between the wheel and the level sur- face is 0.22. Draw the figure and FBD. 0.80m q= h P