Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 4.8, Problem 49P
(a)
To determine
Find the brake can hold the wheel stationary when the force applied to the lever is
(b)
To determine
Find the brake can hold the wheel stationary when the force applied to the lever is
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The block brake consists of a pin-connected lever and friction block at B. The coefficient of static friction between the wheel and the lever is μs = 0.3, and a torque of 5 N ⋅m is applied to the wheel. Determine if the brake can hold the wheel stationary when the force applied to the lever is (a) P = 30 N, (b) P = 70 N
Draw the free-body diagram of the lever.
6 of 8
*8-44. The 3-Mg rear-wheel-drive skid loader has a center
of mass at G. Determine the largest number of crates that
can be pushed by the loader if each crate has a mass of
500 kg. The coefficient of static friction between a crate and
the ground is Hy = 0.3, and the coefficient of static friction
between the rear wheels of the loader and the ground is
u = 0.5. The front wheels are free to roll. Assume that the
engine of the loader is powerful enough to generate a
torque that will cause the rear wheels to slip.
Fa75 m
025 m
Question 3:
The coefficients of static and kinetic friction between the drum and brake bar are ls= 0.4 and Hx= 0.3,
respectively. If M= 50 N.m and P= 85 N. determine the horizontal and vertical components of reaction at
the pin O (shown in Fig. 3). Neglect the weight and thickness of the brake. The drum has a mass of 25 kg.
300 mm
-700 mm-
B
-125 mm
500 mm
M
P
A
Fig. 3. Brake system
Chapter 4 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 4.4 - Draw the free-body diagram of each object. Prob....Ch. 4.4 - Determine the horizontal and vertical components...Ch. 4.4 - Determine the horizontal and vertical components...Ch. 4.4 - The truss is supported by a pin at A and a roller...Ch. 4.4 - Determine the components of reaction at the fixed...Ch. 4.4 - The 25-kg bar has a center of mass at G. If it is...Ch. 4.4 - Determine the reactions at the smooth contact...Ch. 4.4 - Determine the components of the support reactions...Ch. 4.4 - Determine the reactions at the supports. Prob. 4-2Ch. 4.4 - Determine the horizontal and vertical components...
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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- 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_forwardIf the clamping force at G is 900 N, determine the horizontal force F that must be applied perpendicular to the handle of the lever at E. The mean diameter and lead of both single square- threaded screws at C and D are 25 mm and 5 mm, respectively. The coefficient of static friction is μ = 0.3. -200 mm- OA 200 mm B. C D E 125 mmarrow_forwardThe truck has a mass of 1.25 Mg and a center of mass at G. Determine the greatest load it can pull if: (a) the truck has rear-wheel drive while the front wheels are free to roll. (b) the truck has four-wheel drive. The coefficient of static friction between the wheels and the ground is µs=0.5, and between the crate and the ground, it is us=0.4. Note: Rear-wheel drive means the rear wheels must slip and four-wheel drive all four wheels must slip. So in this problem, the wheels must be on the verge of slipping, max. friction force. 800 mm 600 mm F1.5 m--–1 m 10°arrow_forward
- The block brake consists of a pin-connected lever and friction block at BB. The coefficient of static friction between the wheel and the lever is μsμs = 0.3, and a torque of 5 N⋅mN⋅m is applied to the wheel. Determine if the brake can hold the wheel stationary when the force applied to the lever is (a) PP = 30 NN, (b) PP = 70 NN. Draw the free-body diagram of the wheel. Draw the vectors starting at the black dots. The location and orientation of the vectors.arrow_forward8-93. If a force of P = 30 N is applied to the handle of the lever, determine the largest couple moment M that can be resisted so that the wheel does not turn. The coefficient of static friction between the belt and the wheel is us = 0.3. Problems 8-92/93 M 300 mm B 60 mm A -25 mm D 700 mm Parrow_forward4-58. The coefficients of static and kinetic friction between the drum and brake bar are p. = 0.4 and ua = 0.3, respectively. If M - 50 N- m and P - 85 N, determine the horizontal and vertical components of reaction at the pin 0. Neglect the weight and thickness of the brake. The drum has a mass of 25 kg. 300 mm -700 mm- B. F125 mm 500 mmarrow_forward
- The shaft has a square-threaded screw with a lead of 8 mm and a mean radius of 15 mm. If it is in contact with a plate gear having a mean radius of 30 mm, determine the resisting torque M on the plate gear which can be overcome if a torque of 7 N⋅m is applied to the shaft. The coefficient of static friction at the screw is μB =0.2. Neglect friction of the bearings located at A and B.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_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_forward
- 4. The three bars have a weight of WA = 20 lb, WB = 40 lb, and We = 60 lb, respectively. If the coefficients of static friction at the surfaces of contact are as shown, determine the smallest horizontal force P needed to move block A CCB=0.5 BR 0.3 AHAD 0.2 D Parrow_forward8-82. Determine the horizontal force P that must be applied perpendicular to the handle of the lever at A in order to develop a compressive force of 12 kN on the material. Each single square- threaded screw has a mean diameter of 25 mm and a lead of 7.5 mm. The coefficient of static friction at all contacting surfaces of the wedges is µ = 0.2, and the coefficient of static friction at the screw is μ's = 0.15. Problems 8-81/82 WA B 15° C 15° 250 mmarrow_forwardThe wheel is subjected to a torque of M 50 N m. If the coefficient of kinetic friction between the band brake and the wheel rim is equal to 0.3, determine the smallest horizontal force P that must be applied to the lever to stop the wheel.arrow_forward
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