Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 4.8, Problem 44P
The mine car and its contents have a total mass of 6 Mg and a center of gravity at G. If the coefficient of static friction between the wheels and the tracks is μs = 0.4 when the wheels are locked, find the normal force acting on the front wheels at B and the rear wheels at A when the brakes at both A and B are locked. Does the car move?
Prob. 4-44
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4. The mine car and its
contents have a total mass of
6000 kg and a centre of
gravity at G. If the coefficient
of static friction
10 kN
between the wheels and the
0.9 m
•G
tracks is u = 0.4 when the
wheels are locked, find the
normal force acting on the
front wheels at B and the rear
0.15 m
0.6 m -
1.5 m
wheels at A when the brakes
at both A and B are locked.
Does the car move?
[Ans. NA = 16.5 kN, Ng =42.3
kN, the car does not move]
%3D
lyp
4-45. The mine car and its contents have a total mass of
6 Mg and a center of gravity at G. If the coefficient of static
friction between the wheels and the tracks is , = 0.4 when
the wheels are locked, find the normal force acting on the
front wheels at B and the rear wheels at A when the brakes
at both A and B are locked. Does the car move?
10 kN
0.9 m
0.15 m
-0.6 m
-1.5 m-
Prob. 4-45
R4-7. The uniform 20-kg ladder rests on the rough floor for
which the coefficient of static friction is u, - 0.4 and against
the smooth wall at B. Determine the horizontal force P the
man must exert on the ladder in order to cause it to move.
25 m
4 m
2.5 m
Chapter 4 Solutions
Statics and Mechanics of Materials (5th Edition)
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Ch. 4.4 - Determine the reactions at the supports. Prob. 4-4Ch. 4.4 - Determine the reactions at the supports. Prob. 4-5Ch. 4.4 - Determine the reactions at the supports. Prob. 4-6Ch. 4.4 - Determine the magnitude of force at the pin A and...Ch. 4.4 - The dimensions of a jib crane are given in the...Ch. 4.4 - The dimensions of a jib crane are given in the...Ch. 4.4 - The smooth pipe rests against the opening at the...Ch. 4.4 - The beam is horizontal and the springs are...Ch. 4.4 - The 10-kg uniform rod is pinned at end A. If it is...Ch. 4.4 - The man uses the hand truck to move material up...Ch. 4.4 - Three uniform books, each having a weight W and...Ch. 4.4 - Determine the reactions at the pin A and the...Ch. 4.4 - If rope BC will fail when the tension becomes 50...Ch. 4.4 - Prob. 17PCh. 4.4 - Prob. 18PCh. 4.4 - The cantilever footing is used to support a wall...Ch. 4.4 - Prob. 20PCh. 4.4 - A boy stands out at the end of the diving board,...Ch. 4.4 - Prob. 22PCh. 4.4 - Prob. 23PCh. 4.4 - Prob. 24PCh. 4.4 - Prob. 25PCh. 4.4 - The man attempts to pull the four wheeler up the...Ch. 4.6 - Draw the free-body diagram of each object.Ch. 4.6 - In each case, write the moment equations about the...Ch. 4.6 - Prob. 7FPCh. 4.6 - Prob. 8FPCh. 4.6 - The rod is supported by smooth journal bearings at...Ch. 4.6 - Determine the support reactions at the smooth...Ch. 4.6 - Determine the force developed in the short link...Ch. 4.6 - Determine the components of reaction that the...Ch. 4.6 - The uniform load has a mass of 600 kg and is...Ch. 4.6 - Due to an unequal distribution of fuel in the wing...Ch. 4.6 - Determine the components of reaction at the fixed...Ch. 4.6 - The 50-lb mulching machine has a center of gravity...Ch. 4.6 - Prob. 30PCh. 4.6 - The uniform concrete slab has a mass of 2400 kg....Ch. 4.6 - Prob. 32PCh. 4.6 - Determine the tension in each cable and the...Ch. 4.6 - The bent rod is supported at A, B, and C by smooth...Ch. 4.6 - Prob. 35PCh. 4.6 - The bar AB is supported by two smooth collars. At...Ch. 4.6 - The rod has a weight of 6 lb/ft. If it is...Ch. 4.6 - The sign has a mass of 100 kg with center of mass...Ch. 4.6 - Both pulleys cite fixed to the shaft and as the...Ch. 4.6 - Both pulleys are fixed to the shaft and as the...Ch. 4.6 - Prob. 41PCh. 4.8 - Determine the friction force at the surface of...Ch. 4.8 - Determine the couple moment M needed to cause...Ch. 4.8 - Prob. 6PPCh. 4.8 - Prob. 7PPCh. 4.8 - Prob. 13FPCh. 4.8 - Determine the minimum force P to prevent the 30-kg...Ch. 4.8 - Determine the maximum force P that can be applied...Ch. 4.8 - Prob. 16FPCh. 4.8 - Prob. 17FPCh. 4.8 - Prob. 18FPCh. 4.8 - Prob. 19FPCh. 4.8 - If the coefficient of static friction at all...Ch. 4.8 - Prob. 21FPCh. 4.8 - Prob. 42PCh. 4.8 - The tractor exerts a towing force T = 400 lb....Ch. 4.8 - The mine car and its contents have a total mass of...Ch. 4.8 - The winch on the truck is used to hoist the...Ch. 4.8 - Prob. 46PCh. 4.8 - The automobile has a mass of 2 Mg and center of...Ch. 4.8 - Prob. 48PCh. 4.8 - Prob. 49PCh. 4.8 - Prob. 50PCh. 4.8 - Determine the angle at which the applied force P...Ch. 4.8 - Prob. 52PCh. 4.8 - The 180-lb man climbs up the ladder and stops at...Ch. 4.8 - The 180-lb man climbs up the ladder and stops at...Ch. 4.8 - The spool of wire having a weight of 300 lb rests...Ch. 4.8 - The spool of wire having a weight of 300 lb rests...Ch. 4.8 - The ring has a mass of 0.5 kg and is resting on...Ch. 4.8 - Determine the smallest force P that must be...Ch. 4.8 - The man having a weight of 200 lb pushes...Ch. 4.8 - The uniform hoop of weight W is subjected to the...Ch. 4.8 - Prob. 61PCh. 4.8 - Prob. 62PCh. 4.8 - Prob. 63PCh. 4.8 - The coefficient of static Friction between the...Ch. 4 - If the roller at B can sustain a maximum load of 3...Ch. 4 - Determine the reactions at the supports A and B...Ch. 4 - Determine the normal reaction at the roller A and...Ch. 4 - Determine the horizontal and vertical components...Ch. 4 - Determine the x, y, z components of reaction at...Ch. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - The uniform 60-kg crate C rests uniformly on a...
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- Q1: The tractor has a weight of 4500 lb with center of gravity at G. The driving traction is developed at the rear wheels B, while the front wheels at A are free to roll. If the Q2: The mine car and its contents have a total mass of 9 Mg and a center of gravity at G. If the coefficient of static friction between the wheels and the tracks is u, = 0.4 when the wheels are locked, find the normal force acting on the coefficient of static friction between the wheels at B and the ground is u, = 0.5, determine if it is possible to pull at P = 1350 lb without causing the wheels at B to slip or the front wheels at A to lift off the ground. front wheels at B and the rear wheels at A when the brakes at both A and B are locked. Does the car move? 10 kN 0.9 m G 0.15 m 3.5 ft 1.25 ft 0.6 m- 4 ft -1.5 m- 2.5 ftarrow_forward4-44. The tongs are used to lift the 150-kg crate, whose center of mass is at G. Determine the least coefficient of static friction at the pivot blocks so that the crate can be lifted. 275 mm 500 mm 500 mm 300 mmarrow_forward*R4-8. The uniform 60-kg crate C rests uniformly on a 10-kg dolly D. If the front wheels of the dolly at A are locked to prevent rolling while the wheels at B are free to roll, determine the maximum force P that may be applied without causing motion of the crate. The coefficient of static friction between the wheels and the floor is p, - 0.35 and between the dolly and the crate, p - 0.5. L06 m- 15 m 0.8 m 025 m 0.25 m 1.5 marrow_forward
- The coefficient of static friction between the drum 300 mm -700 mm and brake bar is H = 0-4. If the moment -125 mm M = 35 N-m, determine the smallest force P that S00 mm needs to be applied to the brake bar in order to prevent the drum from rotating. Also determine the corresponding horizontal and vertical components of reaction at pin 0. Neglect the weight and thickness of the brake bar. The drum has a mass of 25Kg.arrow_forwardF4-18. Determine the minimum coefficient of static friction between the uniform 50-kg spool and the wall so that the spool does not slip. B. 0.6 m- 03 marrow_forwardThe 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 5arrow_forward
- Determine the horizontal force P to start the 400-N wedge moving to the right. The angle of friction for all contact surfaces is o = 20°. WA = 2000 N WB = 400 N 15°arrow_forward*4-56. Two blocks A and B have a weight of 50 N and 30 N, respectively. They are resting on the incline for which the coefficients of static friction are pa = 0.15 and ug = 025. Determine the angle ở which will cause motion of one of the blocks. What is the friction force under each of the blocks when this occurs? The spring has a stiffness of k = 30 N/m and is originally unstretched. k- 30 N/marrow_forward4-46. The 90-kg man climbs up the ladder and stops at the position shown after he senses that the ladder is on the verge of slipping. Determine the inclination e of the ladder if the coefficient of static friction between the friction pad A and the ground is u, = 0.4. Assume the wall at Bis smooth. The center of gravity for the man is at G. Neglect the weight of the ladder. 3m Fooarrow_forward
- F4-19. Blocks A, B, and C have weights of 50 N, 25 N, and 15 N, respectively. Determine the smallest horizontal force P that will cause impending motion. The coefficient of static friction between A and B is u, = 0.3, between B and C, 4 = 0.4, and between block C and the ground, p" = 0.35.arrow_forwardF4-14. Determine the minimum force P to prevent the 30-kg rod AB from sliding. The contact surface at B is smooth, whereas the coefficient of static friction between the rod and the wall at A is u, = 0.2. 3m -4 marrow_forward4-79. The man has a mass of 40 kg. He plans to scale the vertical crevice using the method shown. If the coefficient of static friction between his shoes and the rock is u) = 0.4 and between his backside and the rock, = 0.3, determine the smallest horizontal force his body must exert on the rock in order to do this.arrow_forward
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