Chapter 17, Problem 42P

The block weighs 80 pounds. A cable is connected to itsupper left corner and passes over a fixed post. Thecoefficients of friction are μB = 0.3 for the block and theground and μP = 0.2 for the post and the cable. Determinethe minimum force T that will cause the system to move(either tip or slide - you must show which happens first).Take a = 2.5’ and b = 6’.

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

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°