Vector Mechanics for Engineers: Statics
12th Edition
ISBN: 9781259977268
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.3, Problem 4.94P
Two transmission belts pass over sheaves welded to an axle supported by bearings at B and D. The sheave at A has a radius of 2.5 in., and the sheave at C has a radius of 2 in. Knowing that the system rotates at a constant rate, determine (a) the tension T, (b) the reactions at B and D. Assume that the bearing at D does not exert any axial thrust and neglect the weights of the sheaves and axle.
Fig. P4.94
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two transmission belts pass over a double-sheaved pulley that is attached to an axle supported by bearings at A and D. The radius of the inner sheave is 125 mm and the radius of the outer sheave is 250 mm. Knowing that
when the system is at rest, the tension is 120 N in both portions of belt B and 180 N in both portions of belt C, determine the reactions at A and D. Assume that the bearing at D does not exert any axial thrust.
150 mm
100 mm
200 mm
Tc
T'.
T'B
OD= (60.0 N) j + (166.7 N) k
OD = (166.7 N) j + (60.0 N) k
O D = (80.0 N) j+ (200.0 N) k
OD = (200.0 N) j + (80.0 N) k
O D = (100.0 N) j + (240.0 N) k
OD = (240.0 N) j+ (100.0 N) k
Itranscript
Two transmission belts pass over a double-sheaved pulley that is attached to an axle supported by bearings at A and D. The radius of
the Inner sheave is 125 mm and the radius of the outer sheave is 250 mm. Knowing that when the system is at rest, the tension Is 98 N
In both portions of belt B and 158 N In both portions of belt C, determine the reactions at A and D. Assume that the bearing at D does
not exert any axial thrust.
150 mm 100 mm
TB
The reaction at A Is (
The reaction at D Is
T's
|N)J +
NJ
200 mm
N)k.
N)k.
Tc
T'c
Two tape spools are attached to an axle supported by bearings at A and D . The radius of spool B is 1.5 in. and the radius of spool C is 2 in. Knowing that TB= 20 lb and that the system rotates at a constant rate, draw the free-body diagram needed to determine the reactions at A and D . Assume that the bearing at A does not exert any axial thrust and neglect the weights of the spools and axle.
Chapter 4 Solutions
Vector Mechanics for Engineers: Statics
Ch. 4.1 - Two crates, each of mass 350 kg, are placed as...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - A light rod AD is supported by frictionless pegs...Ch. 4.1 - A tension of 20 N is maintained in a tape as it...Ch. 4.1 - A gardener uses a 60 N wheelbarrow to transport a...Ch. 4.1 - The gardener of Prob. 4.1 wishes to transport a...Ch. 4.1 - A 2100-lb tractor is used to lift 900 lb of grave....Ch. 4.1 - For the beam and loading shown, determine (a) the...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...
Ch. 4.1 - A hand truck is used to move a compressed-air...Ch. 4.1 - Two external shafts of a gearbox are subject to...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - The 10-m beam AB rests upon, but is not attached...Ch. 4.1 - The maximum allowable value of each of the...Ch. 4.1 - For the beam of Sample Prob. 4.2, determine the...Ch. 4.1 - The maximum allowable value of each of the...Ch. 4.1 - For the beam and loading shown, determine the...Ch. 4.1 - PROBLEM 4.15 The required tension in cable AB is...Ch. 4.1 - PROBLEM 4.16 Determine the maximum tension that...Ch. 4.1 - Two links AB and DE are connected by a bell crank...Ch. 4.1 - Prob. 4.18PCh. 4.1 - The bracket BCD is hinged at C and attached to a...Ch. 4.1 - The ladder AB, of length L and weight W, can be...Ch. 4.1 - The ladder AB, of length L and weight W, can be...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - 4.23 and 4.24 For each of the plates and loadings...Ch. 4.1 - 4.23 and 4.24 For each of the plates and loadings...Ch. 4.1 - A rod AB, hinged at A and attached at B to cable...Ch. 4.1 - Fig. P4.25 and P4.26 4.26 A rod AB, hinged at A...Ch. 4.1 - For the frame and loading shown, determine the...Ch. 4.1 - Determine the reactions at A and C when (a) = 0,...Ch. 4.1 - Prob. 4.29PCh. 4.1 - Prob. 4.30PCh. 4.1 - Neglecting friction, determine the tension in...Ch. 4.1 - Fig. P4.31 and P4.32 4.32 Neglecting friction,...Ch. 4.1 - PROBLEM 4.33 A force P of magnitude 90 lb is...Ch. 4.1 - PROBLEM 4.34 Solve Problem 4,33 for a = 6 in,...Ch. 4.1 - Bar AC supports two 400-N loads as shown. Rollers...Ch. 4.1 - PROBLEM 4.36 A light bar AD is suspended from a...Ch. 4.1 - A 160-lb overhead garage door consists of a...Ch. 4.1 - Fig. P4.37 4.38 In Prob. 4.37, determine the...Ch. 4.1 - A movable bracket is held at rest by a cable...Ch. 4.1 - Fig. P4.39 4.40 Solve Prob. 4.39 when = 30.Ch. 4.1 - The semicircular rod ABCD is maintained in...Ch. 4.1 - Determine the range of values of for which the...Ch. 4.1 - The rig shown consists of a 1200-lb horizontal...Ch. 4.1 - Fig. P4.43 4.44 For the rig and crate of Prob....Ch. 4.1 - A 175-kg utility pole is used to support at C the...Ch. 4.1 - Knowing that the tension in wire BD is 1300 N,...Ch. 4.1 - Fig. P4.46 and P4.47 4.47 Determine the range of...Ch. 4.1 - Beam AD carries the two 40-lb loads shown. The...Ch. 4.1 - Fig. P4.48 and P4.49 4.49 For the beam and loading...Ch. 4.1 - A traffic-signal pole may be supported in the...Ch. 4.1 - A uniform rod AB with a length of l and weight of...Ch. 4.1 - Rod AD is acted upon by a vertical force P at end...Ch. 4.1 - A slender rod AB with a weigh of W is attached to...Ch. 4.1 - 4.54 and 4.55 A vertical load P is applied at end...Ch. 4.1 - 4.54 and 4.55 A vertical load P is applied at end...Ch. 4.1 - A collar B with a weight of W can move freely...Ch. 4.1 - A 400-lb weight is attached at A to the lever...Ch. 4.1 - A vertical load P is applied at end B of rod BC....Ch. 4.1 - Eight identical 500 750-mm rectangular plates,...Ch. 4.1 - A truss can be supported in the eight different...Ch. 4.2 - A 500-lb cylindrical tank, 8 ft in diameter, is to...Ch. 4.2 - Determine the reactions at A and E when =0.Ch. 4.2 - Determine (a) the value of for which the reaction...Ch. 4.2 - A 12-ft ladder, weighing 40 lb, leans against a...Ch. 4.2 - Determine the reactions at B and C when a = 30 mm.Ch. 4.2 - Determine the reactions at A and E. Fig. P4.66Ch. 4.2 - Determine the reactions at B and D when b = 60 mm....Ch. 4.2 - For the frame and loading shown, determine the...Ch. 4.2 - A 50-kg crate is attached to the trolley-beam...Ch. 4.2 - One end of rod AB rests in the corner A and the...Ch. 4.2 - For the boom and loading shown, determine (a) the...Ch. 4.2 - Prob. 4.72PCh. 4.2 - Determine the reactions at A and D when = 30.Ch. 4.2 - Determine the reactions at A and D when = 60.Ch. 4.2 - Rod AB is supported by a pin and bracket at A and...Ch. 4.2 - Solve Prob. 4.75, assuming that the 170-N force...Ch. 4.2 - The L-shaped member ACB is supported by a pin and...Ch. 4.2 - Using the method of Sec. 4.2B, solve Prob. 4.22....Ch. 4.2 - Knowing that = 30, determine the reaction (a) at...Ch. 4.2 - Prob. 4.80PCh. 4.2 - Determine the reactions at A and B when = 50....Ch. 4.2 - Determine the reactions at A and B when = 80.Ch. 4.2 - Rod AB is bent into the shape of an arc of circle...Ch. 4.2 - A slender rod of length L is attached to collars...Ch. 4.2 - Prob. 4.85PCh. 4.2 - A uniform plate girder weighing 6000 lb is held in...Ch. 4.2 - A slender rod BC with a length of L and weight W...Ch. 4.2 - A thin ring with a mass of 2 kg and radius r = 140...Ch. 4.2 - Prob. 4.89PCh. 4.2 - Prob. 4.90PCh. 4.3 - Two tape spools are attached to an axle supported...Ch. 4.3 - A 12-m pole supports a horizontal cable CD and is...Ch. 4.3 - A 20-kg cover for a roof opening is hinged at...Ch. 4.3 - END-OF-SECTION PROBLEMS 4.91 Two transmission...Ch. 4.3 - Solve Prob. 4.91, assuming that the pulley rotates...Ch. 4.3 - A small winch is used to raise a 120-lb load. Find...Ch. 4.3 - Two transmission belts pass over sheaves welded to...Ch. 4.3 - A 250 400-mm plate of mass 12 kg and a...Ch. 4.3 - Solve Prob. 4.95 for = 60. 4.95 A 250 400-mm...Ch. 4.3 - The rectangular plate shown weighs 60 lb and is...Ch. 4.3 - A load W is to be placed on the 60-lb plate of...Ch. 4.3 - An opening in a floor is covered by a 1 1.2-m...Ch. 4.3 - PROBLEM 4.100 Solve Problem 4.99, assuming that...Ch. 4.3 - PROBLEM 4.101 Two steel pipes AB and BC, each...Ch. 4.3 - PROBLEM 4.102 For the pipe assembly of Problem...Ch. 4.3 - PROBLEM 4.103 The 24-lb square plate shown is...Ch. 4.3 - PROBLEM 4.104 The table shown weighs 30 lb and has...Ch. 4.3 - PROBLEM 4.105 A 10-ft boom is acted upon by the...Ch. 4.3 - PROBLEM 4.106 The 6-m pole ABC is acted upon by a...Ch. 4.3 - PROBLEM 4.107 Solve Problem 4.106 for a = 1.5 m....Ch. 4.3 - A 3-m pole is supported by a ball-and-socket joint...Ch. 4.3 - PROBLEM 4.109 A 3-m pole is supported by a...Ch. 4.3 - PROBLEM 4.110 A 7-ft boom is held by a ball and...Ch. 4.3 - PROBLEM 4.111 A 48-in. boom is held by a...Ch. 4.3 - PROBLEM 4.112 Solve Problem 4.111, assuming that...Ch. 4.3 - PROBLEM 4.114 The bent rod ABEF is supported by...Ch. 4.3 - Prob. 4.114PCh. 4.3 - The horizontal platform ABCD weighs 60 lb and...Ch. 4.3 - PROBLEM 4.116 The lid of a roof scuttle weighs 75...Ch. 4.3 - PROBLEM 4.117 A 100-kg uniform rectangular plate...Ch. 4.3 - Solve Prob. 4.117, assuming that cable DCE is...Ch. 4.3 - PROBLEM 4.119 Solve Prob. 4.113, assuming that the...Ch. 4.3 - PROBLEM 4.120 Solve Prob. 4.115, assuming that the...Ch. 4.3 - PROBLEM 4.121 The assembly shown is used to...Ch. 4.3 - PROBLEM 4.122 The assembly shown is welded to...Ch. 4.3 - PROBLEM 4.123 The rigid L-shaped member ABC is...Ch. 4.3 - Prob. 4.124PCh. 4.3 - The rigid L-shaped member ABF is supported by a...Ch. 4.3 - Solve Prob. 4.125, assuming that the load at C has...Ch. 4.3 - Three rods are welded together to form a corner...Ch. 4.3 - Prob. 4.128PCh. 4.3 - Frame ABCD is supported by a ball-and-socket joint...Ch. 4.3 - Prob. 4.130PCh. 4.3 - Prob. 4.131PCh. 4.3 - PROBLEM 4.132 The uniform 10kg rod AB is supported...Ch. 4.3 - The frame ACD is supported by ball-and-socket...Ch. 4.3 - Solve Prob. 4.133, assuming that cable GBH is...Ch. 4.3 - The 8-ft rod AB and the 6-ft rod BC are hinged at...Ch. 4.3 - Prob. 4.136PCh. 4.3 - Prob. 4.137PCh. 4.3 - The pipe ACDE is supported by ball-and-socket...Ch. 4.3 - Solve Prob. 4.138, assuming that wire DF is...Ch. 4.3 - Two 2 4-ft plywood panels, each with a weight of...Ch. 4.3 - Solve Prob. 4.140, subject to the restriction that...Ch. 4 - A 3200-lb forklift truck is used to lift a 1700-lb...Ch. 4 - The lever BCD is hinged at C and attached to a...Ch. 4 - Determine the reactions at A and B when (a) h =0,...Ch. 4 - Neglecting friction and the radius of the pulley,...Ch. 4 - PROBLEM 4.146 Bar AD is attached at A and C to...Ch. 4 - PROBLEM 4.147 A slender rod AB, of weight W, is...Ch. 4 - PROBLEM 4.148 Determine the reactions at A and B...Ch. 4 - For the frame and loading shown, determine the...Ch. 4 - PROBLEM 4.150 A 200-mm lever and a 240-mm-diameter...Ch. 4 - The 45-lb square plate shown is supported by three...Ch. 4 - The rectangular plate shown weighs 75 lb and is...Ch. 4 - A force P is applied to a bent rod ABC, which may...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
What types of coolant are used in vehicles?
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
Steady state conduction rate to the warm compressor to the net power produces theoretically by thermodynamic ba...
Introduction to Heat Transfer
Define or describe each type of fluid: (a) viscoelastic fluid (b) pseudoplastic fluid (c) dilatant fluid (d) Bi...
Fluid Mechanics: Fundamentals and Applications
19.8 Calculate the allowable tensile load for the connection shown. The plates are ASTM A36 steel and the weld ...
Applied Statics and Strength of Materials (6th Edition)
Three rigid bodies, 2,3, and 4, are connected by four springs as shown in the figure. A horizontal force of 1,0...
Introduction To Finite Element Analysis And Design
23.23 A highly oxidized and uneven round bar is being turned on a lathe. Would you recommend a small or a large...
Manufacturing Engineering & Technology
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A 250 × 400-mm plate of mass 12 kg and a 300-mm-diameter pulley are welded to axle AC that is supported by bearings at A and B. For β= 30°, determine (a) the tension in the cable, (b) the reactions at A and B . Assume that the bearing at B does not exert any axial thrust.arrow_forward4.174 The weight W = 6 kN hangs from the cable which passes over the pulley at F. Neglecting the weights of the bars and the pulley, determine the magnitude of the pin reaction at D.arrow_forwardA 200mm lever and 240mm pulley are welded to the BE shaft which in turn is supported by bearingsat C and D. If a vertical load of 720 N is applied at A when the lever is horizontal, determine (a)the tension in the string and b) the reactions at C and D. Suppose that the bearing at D does not exert any force ofthrust along the z axis. Assume that the shaft has been rotated 30 ° in its bearings clockwise.clock and that the 720 N load remains vertical.arrow_forward
- The spanner shown is used to rotate a shaft. A pin fits in a hole at A, while a flat, frictionless surface rests agains the shaft at B. If a 300-N force P is exerted on the spanner at D, find (a) the reaction at B, (b) the component of the reaction at A in a direction perpendicular to AC. 50° D B 75 mm -375 mmarrow_forward2. A 200-mm lever and a 240-mm pulley are welded to the axel BE that is supported by bearings at C and D. Assume that the bearing at D does not exert any axial thrust. A 720-N vertical force is applied at A when the lever is horizontal. Determine (a) the tension, T, in the cord, and (b) the reactions at C and D. Ans: T = 1200N, C = 400î +1200 N, D=-1600î – 480ĵ N %3D 40 mm 80 mm 120 mm 200 mm D E 120 mm 720 Narrow_forwarddetermine the reactions at A and D. Need only handwritten solution only (not typed one).arrow_forward
- The lid of a roof scuttle weighs 75 lb. It is hinged at corners A and B and maintained in the desired position by a rod CD pivoted at C; a pin at end D of the rod fits into one of several holes drilled in the edge of the lid. For α=50°, determine (a) the magnitude of the force exerted by rod CD, (b) the reactions at the hinges. Assume that the hinge at B does not exert any axial thrust.arrow_forwardA 4 × 8-ft sheet of plywood weighing 34 lb has been temporarily placed among three pipe supports. The lower edge of the sheet rests on small collars at A and B and its upper edge leans against pipe C . Neglecting friction at all surfaces, determine the reactions at A, B and C.arrow_forwardTwo transmission belts pass over pulleys welded to a shaftwhich is supported by bearings at B and D. If the pulley at A has a radius of 2.5 in., and the pulley at C has a radius of 2 in. and it is known that the system rotates with a constant angular velocity, determine a) the tension T, b) the reactions at B and D. Suppose that the bearing at D does not exert any axial thrust force and does not take into account the weights of pulleys and shaftarrow_forward
- The uniform 21-m pole has a mass of 115 kg and is supported by its smooth ends against the vertical walls and by the tension T in the vertical cable. Compute the magnitudes of the reactions at A and B.arrow_forwardThe spanner shown is used to rotate a shaft. A pin fits in a hole at A, while a flat, frictionless surface rests against the shaft at B. Given that a 320-N force P is exerted on the spanner at D. Find the component of the reaction at A in a direction perpendicular to AC.arrow_forwardThe required tension in cable AB is 200 lb. Determine (a) the vertical force P that must be applied to the pedal, (b) the corresponding reaction at C.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
BEARINGS BASICS and Bearing Life for Mechanical Design in 10 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=aU4CVZo3wgk;License: Standard Youtube License