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- The 120-kg block A is suspended from a rope that runs around the fixed pegs B and C. The coefficient of static friction between the pegs and the rope is 0.25. Determine the range of the force P for which the system is in equilibrium.The man pushes the 120-lb homogeneous crate with the horizontal force P. Determine the largest distance h for which the crate will slide without tipping.The 3600-lb car with rear Wheel drive is attempting to tow the 4500-lb crate. The center of gravity of the car is at G, and the coefficients of static friction are 0.6 at B and 0.2 at C. Determine if the crate will slide.
- The 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.The mass of the unbalanced disk is m, and its center of gravity is located at G. If the coefficient of static friction is 0.2 between the cylinder and the inclined surface, determine whether the cylinder can be at rest in the position shown. Note that the string AB is parallel to the incline.The 40-lb spool is suspended from the hanger GA and rests against a vertical wall. The center of gravity of the spool is at G and the weight of the hanger is negligible. The wire wound around the hub of the spool is extracted by pulling its end with the force P. If the coefficient of static friction between the spool and the wall is 0.25, determine the smallest P that will extract the wire.
- 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.The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a) Determine the force P required to pull the roller at a constant speed. (b) What force P would be needed to push the roller at a constant speed?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 3600-lb car with rear wheel drive is attempting to push the 4500-lb crate. The center of gravity of the car is at G, and the coefficients of static friction are 0.6 at B and 0.2 at C. Determine if the crate will slide. (The car pulling the crate is analyzed in Prob. 7.19.)The uniform crate has a mass of 150 kg. If the coefficient of static friction between the crate and the floor is μs = 0.2, determine the smallest mass of the man so he can move the crate. The coefficient of static friction between his shoes and the floor is μ's = 0.45. Assume the man exerts only ahorizontal force on the crate.The mine car and its contents have a total mass of 7.1 Mg and a center of gravity at G . If the coefficient of static friction between the wheels and the tracks is μs = 0.34 when the wheels are locked, find the following: 1 The normal force acting on the front wheels at B is Blank 1 kN when the brakes at both A and B are locked. 2 The normal force acting on the rear wheels at A is Blank 2 kN when the brakes at both A and B are locked. 3 The friction force acting on the front wheels at B is Blank 3 kN when the brakes at both A and B are locked. 4 The friction force acting on the rear wheels at A is Blank 4 kN when the brakes at both A and B are locked. 5 With the given information above, does the car move? Answer with Yes or No only. Blank 5