Chapter 17, Problem 48P

For the given system, the cylinder of mass m is attached to a frictionless pulley. The chord attached to the 60.0 kg block runs through the fixed drum with coefficient of friction equal to 0.20. The coefficient of friction between the block and the incline is 0.15. Determine the range of mass m so that the system remains at rest. 60 kg u=0.20 H-0.15 20° m Solution guide: Consider Case 1: the motion is impending down the plane. o What are the forces acting on the 60 kg block? o What is the direction of friction force? o Calculate the tension force acting on the block. Is this the heavier tension or the weaker tension? Consider Case 2: the motion is impending up the plane. o What are the forces acting on the 60 kg block? o What is the direction of friction force this time? o Calculate the tension force acting on the block. Is this the heavier tension or the weaker tension? (Note: Please match your answer to the provided answer, Answer: 16.4348 kg Sm S 85.0868 kg

3. Car A has a mass of 1.4 Mg with center of gravity at point G as shown in Fig. 3. If car B exert a 2 kN, determine whether the force is sufficient to move car A. The static and dynamic friction coefficients between tyre and the road are μ, = 0,5 and μ = 0,35. Assume the surface of car B bumper to be frictionless. 0.5 m 0.8 m 0.8 mi 2 kN 0.4 m Gambar 3. Tyre-Road friction

If the coefficient of static friction between the 50-lb roller and the ground is p, = 0.25, determine the maximum force P that can be applicd to the handle, so that roller rolls on the ground without slipping. Also, find the angular acceleration of the roller. Assume the roller to be a uniform cylinder. 15 ft 30

A 182 lb man climbs up the ladder and stops at the position shown when he senses the ladder is on the verge of slipping. Determine the coefficient of static friction between the ladder and the ground at A if the angle theta is 60 degrees. The ladder has a negligible weight and the wall at B is smooth. 3 ft- G 10 ft A

6/15 The 1650-kg car has its mass center at G. Calculate the normal forces NA and NB between the road and the front and rear pairs of wheels under conditions of maximum acceleration. The mass of the wheels is small compared with the total mass of the car. The coefficient of static friction between the road and the rear driving wheels is 0.8. Ans. NA = 6.85 kN, NB = 9.34 kN G A 400 mm B 1200 1200 mm mm Problem 6/15

Under the man's pushing force P = 37.3 lb, the uniform cabinet is sliding on the ground with a constant acceleration of a. If the uniform cabinet has weight of 150 lb, and the coefficient of kinetic friction between the cabinet and the ground is uk = 0.14, determine the normal force reaction under leg A. 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/s2. -1 ft→+–1 ft-→| P 4 ft 3.5 ft A В Your Answer: Answer units

Under the man's pushing force P = 37.3 lb, the uniform cabinet is sliding on the ground with a constant acceleration of a. If the uniform cabinet has weight of 150 lb, and the coefficient of kinetic friction between the cabinet and the ground is Uk = 0.14, determine the normal force reaction under leg A. 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 ft +1 ft- 4 ft 3.5 ft A В Your Answer: Answer units

Yes Ⓒ No Movers are trying to set up an art gallery. They attempt to drag a human-size statue of a soda can with mass m = 120 kg by tying a rope around it. Determine if the movers can drag the statue along the floor without it tipping if the coefficients of static friction and kinetic friction are found to be μ = 0.37 and Hk = 0.26, respectively. What is the maximum force the movers can apply without tipping the statue? The can has a height of h = 1.9 m and the rope is tied 1 m off the ground. Assume the statue to be a solid cylinder with radius r = 0.2 m and constant density. Can the statue be dragged without tipping? 313.44 y = 1.7 y x N F Ftip If the movers can apply the force required for the statue to slip, where is the maximum height they should tie the rope to safely drag the statue? x m Å UBC Engineering

2. The car, having a mass of 1000 kg, is traveling horizontally along a 20° banked track which is circular and has a radius of curvature of p = 100 m. If the coefficient of static friction between the tires and the road is us = 0.3, determine the minimum and maximum constant speed at which the car can travel without sliding down and up the slope. Neglect the size of the car. e= 20°