VECTOR MECH. FOR EGR: STATS & DYNAM (LL
12th Edition
ISBN: 9781260663778
Author: BEER
Publisher: MCG
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Chapter 4.3, Problem 4.95P
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 p = 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.
Fig. P4.95
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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.
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.
Answer the given problem. Show your complete solution. Provide a handwritten calculation
Chapter 4 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
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 - Two links AB and DE are connected by a bell crank...Ch. 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 - Prob. 4.24PCh. 4.1 - A rod AB, hinged at A and attached at B to cable...Ch. 4.1 - Prob. 4.26PCh. 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 - The spanner shown is used to rotate a shaft. A pin...Ch. 4.1 - The spanner shown is used to rotate a shaft. A pin...Ch. 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 - Prob. 4.35PCh. 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 - Prob. 4.39PCh. 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 - Prob. 4.42PCh. 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 - Prob. 4.45PCh. 4.1 - Knowing that the tension in wire BD is 1300 N,...Ch. 4.1 - Prob. 4.47PCh. 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 - Prob. 4.59PCh. 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 - A 50-lb sign is supported by a pin and bracket at...Ch. 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 - Knowing that = 60, determine the reaction (a) at...Ch. 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 - An 8-kg slender rod of length L is attached to...Ch. 4.2 - Prob. 4.86PCh. 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 - A slender rod with a length of L and weight W is...Ch. 4.2 - Fig. P4.89 4.90 Knowing that for the rod of Prob....Ch. 4.3 - Two tape spools are attached to an axle supported...Ch. 4.3 - Prob. 4.6FBPCh. 4.3 - A 20-kg cover for a roof opening is hinged at...Ch. 4.3 - Prob. 4.91PCh. 4.3 - Prob. 4.92PCh. 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 - Prob. 4.96PCh. 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 - Prob. 4.99PCh. 4.3 - Prob. 4.100PCh. 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 - The bent rod ABEF is supported by bearings at C...Ch. 4.3 - The horizontal platform ABCD weighs 60 lb and...Ch. 4.3 - Prob. 4.116PCh. 4.3 - Prob. 4.117PCh. 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 - Prob. 4.122PCh. 4.3 - PROBLEM 4.123 The rigid L-shaped member ABC is...Ch. 4.3 - Solve Prob. 4.123; assuming that cable BD is...Ch. 4.3 - Prob. 4.125PCh. 4.3 - Prob. 4.126PCh. 4.3 - Prob. 4.127PCh. 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 - The assembly shown consists of an 80-mm rod AF...Ch. 4.3 - Prob. 4.132PCh. 4.3 - The frame ACD is supported by ball-and-socket...Ch. 4.3 - Prob. 4.134PCh. 4.3 - The 8-ft rod AB and the 6-ft rod BC are hinged at...Ch. 4.3 - Solve Prob. 4.135 when h = 10.5 ftCh. 4.3 - Prob. 4.137PCh. 4.3 - Prob. 4.138PCh. 4.3 - Prob. 4.139PCh. 4.3 - Prob. 4.140PCh. 4.3 - Prob. 4.141PCh. 4 - Prob. 4.142RPCh. 4 - 4. 143 The lever BCD is hinged at C and attached...Ch. 4 - Prob. 4.144RPCh. 4 - Neglecting friction and the radius of the pulley,...Ch. 4 - Prob. 4.146RPCh. 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 - Prob. 4.149RPCh. 4 - PROBLEM 4.150 A 200-mm lever and a 240-mm-diameter...Ch. 4 - Prob. 4.151RPCh. 4 - Prob. 4.152RPCh. 4 - A force P is applied to a bent rod ABC, which may...
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- 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 a = 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_forward1. Two tape spools are attached to an axle supported by bearings at A and D. Assume that the bearing at A does not exert any axial thrust. The radius of spool B is 1.5 in and the radius of spool C is 2 in. Knowing that TB = 20 lb., determine (a) the tension, Tc, and (b) the reactions at A and D. 4.5 in. A TC 6 in. B 4.5 in. Ans: Tc = 15 lb, A= 0î +14 j+4.5k lb D = 0î +6j+10.5k lb Darrow_forwardProblem 4.122arrow_forward
- 4.151arrow_forwardTwo 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) karrow_forwardSolve Prob. 4.115, assuming that the hinge at A has been removed and that the hinge at B can exert couples about axes parallel to the x and y axes.(Reference to Problem 4.115):The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its center. The platform is normally held in position by hinges at A and B and by braces CE and DE. . If brace DE is removed, determine the reactions at the hinges and the force exerted by the remaining brace CE . The hinge at A does not exert any axial thrust.arrow_forward
- A thin ring of mass 2 kg and radius r=140 mm is held against a frictionless wall by a 125-mm string AB. Determine (a) the distance d, (b) the tension in the string, (c) the reaction at C.arrow_forward1Answer the given problem. Provide a handwritten calculation and use a given, required, solution format.arrow_forwardy 150 mm 100 mm TB 200 mm D Tc T'c PROBLEM 4.91 Two transmission belts pass over a double- sheaved pulley that is attached to an axe 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 90 N in both portions of belt B and 150 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.arrow_forward
- 4.67 A T-shaped bracket supports a 75-lb load as shown. Determine the reactions at A and C when (a) a = 90°, (b) a = 45°. a75 lb 12 in. 6 in: -10 in. Fig. P4.67arrow_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_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_forward
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