Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 6.3, Problem 2P
The 50-kg block rests on the horizontal surface, and a force
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The man is pedaling his bicycle at a constant speed up a slippery slope of 5%. The man and the bicycle have a total mass of 82 kg centered at G. If the rear wheel is about to slip, find the coefficient of friction u between the tire and the road. If the coefficient of friction were doubled, what friction force would act on the rear wheel? (Why can we neglect the friction under the front wheel?)
The smooth cabinet weighing 300 N is on the floor with µs=0.25. Since the man is pushing the cabinet in the θ=30 direction, what must be the smallest magnitude of the force F required for the movement of the cabinet? Also, given that the man weighs 500 N, what must be the smallest coefficient of static friction between his shoes and the ground so that he does not slip?
The 2-kg spool S fits loosely on the inclined rod for which the coefficient of static friction is μ = 0.28.
(a)
If the spool is located 0.25 m from A, determine the maximum constant speed the spool can have so that it does not slip up the rod.
Express your answer to three significant figures and include the appropriate units.
Chapter 6 Solutions
Engineering Mechanics: Statics
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- 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.arrow_forwardA chain baving a length of 20 ft and weight of 8l rests on a street for which the coefficient of static friction Ms = 0.2. If a crane is used to hoist the chain, determine force P it applies to the chain if the length of c remaining on the ground begins to slip when the horizc component of P becomes 10 lb. What length of c remains on the ground?arrow_forwardIf the 75-lb girl is at position d = 4 ft, determine the following. Neglect the weight of the plank. A. The minimum coefficient of static friction μs at contact points A and B so that the plank does not slip is_________. B. The normal force at A is _________ lb given the same condition at Question A C. The normal force at B is ________ lb given the same condition at Question Aarrow_forward
- The main body of the cabinet weighs 15 kg, while the upper rectangular portion weighs 2.5 kg. Assume the following values for coefficients of friction between the cabinet and the floor: μs = 0.26 and μk = 0.19. Knowing that the force P applied by Joey’s shoulder to the cabinet is horizontal: If Joey’s horizontal leaning force is 44.5 N, which of the following best describes the motion of the cabinet? slipping, not moving, tipping, or impending to slip?arrow_forwardThe box B weighs 50lb. The coefficients of friction between the cable and the fixed round supports are µs=0.40 and µk=0.30. What is the minimum force F required to support the box? What force F is required to move the box upward at a constant rate?arrow_forwardTwo blocks A and B have a weight of 10 lb and 6 lb, respectively. They rest on the inclined plane whose coefficients of static friction are A=0.15 and B 0.25 respectively. Determine the angle of inclination X for which both blocks begin to slide. Also find the required elongation or compression in the spring connecting them for this to occur. The spring has a stiffness of k 2 lb/ft.arrow_forward
- A package of mass m is placed inside a drum that rotates in the verticalplane at the constant angular speed ˙ θ = 1.36 rad/s. If the package reaches the position θ = 45◦ before slipping, determine the static coefficient of friction between the package and the drum.arrow_forwardA 2200-kg car rounds a curve of 80 m radius banked at an angle of 300 . The coefficient of friction between the tires and the road is 0.50. (a) Find the friction force acting on the tires when the car is travelling at 90 kph (b) at 40 kph (c) What is the rated speed for the given angle of banking? (d) What is the speed when the car impends to skid outwardly? ( e) inwardly? Include FBDs whenever necessary.arrow_forwardFor the system shown, the masses of A and B are 55kg and 135kg, respectively. the coefficient of static friction between block B and surface C is 0.12 and the coefficient of static friction between blocks A and B is 0.10. the coefficient of friction between the rope and the pulley is 0.10. a. What is the tension force in the rope connected to block B if the system is in equillibrium? b. What is the magnitude of the friction force between block B and the horizontal surface C if the system is in equillibrium? c.What is the maximum mass that can be suspended as shown and still maintain equillibrium.arrow_forward
- Determine the maximum acceleration that can be achieved by the car without having the front wheels A leave the track or the rear drive wheels B slip on the track. The coefficient of static friction is ??= 0.9. The car's mass center is at G, and the front wheels are free to roll. Neglect the mass of all the wheels.arrow_forwardblock A and B block have a mass of 7 kg and 10 kg, respectively. Using the indicated static friction coefficients, determine the greatest vertical force P that can be applied to the wire without causing motion. Uniformsarrow_forwardThe masses of the blocks are mA = 30 kg and mB = 70 kg. Between all of the contacting surfaces the coefficient of static friction is 0.1. 1. What is the largest force F that can be applied without causing the blocks to slip? 2. What is the reaction between the two blocks? 3. What is the reaction between the floor and block Barrow_forward
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