Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 3.3, Problem 62P
The force P has a magnitude of 250 N and is applied at the end C of a 500-mm rod AC attached to a bracket at A and B. Assuming
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The force P has a magnitude of 300 N
and is applied at the end C of the rod
ABC, as shown. Assuming a=35° and
B=50°, replace P with
C
B
P
(a) an equivalent force-couple system at
300 mm
В,
(b) an equivalent system formed by two
parallel forces applied at A and B.
A
200 mm
A blade held in a brace is used to tighten a screw at A. (a) Determinethe forces exerted at B and C, knowing that these forces are equivalent to a force-couple system at A consisting of R =-(30 N)i + Ry j+ Rz k and M = –(12 N · m)i. (b) Find the corresponding values of Ry and Rz. (c) What is the orientation of the slot in the head of the screw for which the blade is least likely to slip when the brace is in the position shown?
250 N
200 mm
20 mm
E
40 mm
100 mm
50 N
160 mm
120 N
300 N
Four forces are applied to the machine component
ABDE as shown. Replace these forces with an
equivalent force-couple system at A.
Chapter 3 Solutions
Statics and Mechanics of Materials
Ch. 3.1 - A 20-lb force is applied to the control rod AB as...Ch. 3.1 - A 20-lb force is applied to the control rod AB as...Ch. 3.1 - A 300-N force P is applied at point A of the bell...Ch. 3.1 - A 400-N force P is applied at point A of the bell...Ch. 3.1 - A 300-N force is applied at A as shown. Determine...Ch. 3.1 - A 300-N force is applied at A as shown. Determine...Ch. 3.1 - 3.7 and 3.8 The tailgate of a car is supported by...Ch. 3.1 - 3.7 and 3.8 The tailgate of a car is supported by...Ch. 3.1 - 3.9 and 3.10 It is known that the connecting rod...Ch. 3.1 - 3.9 and 3.10 It is known that the connecting rod...
Ch. 3.1 - Rod AB is held in place by the cord AC. Knowing...Ch. 3.1 - Prob. 12PCh. 3.1 - Determine the moment about the origin O of the...Ch. 3.1 - Determine the moment about the origin O of the...Ch. 3.1 - Prob. 15PCh. 3.1 - Prob. 16PCh. 3.1 - Prob. 17PCh. 3.1 - A wooden board AB, which is used as a temporary...Ch. 3.1 - Prob. 19PCh. 3.1 - A small boat hangs from two davits, one of which...Ch. 3.1 - Prob. 21PCh. 3.1 - In Prob. 3.16, determine the perpendicular...Ch. 3.1 - In Prob. 3.16, determine the perpendicular...Ch. 3.1 - In Prob. 3.20, determine the perpendicular...Ch. 3.2 - Given the vectors P=3i-j+2k,Q=4i+5j-3k, and...Ch. 3.2 - Prob. 26PCh. 3.2 - Knowing that the tension in cable AC is 1260 N,...Ch. 3.2 - Knowing that the tension in cable AD is 405 N,...Ch. 3.2 - Three cables are used to support a container as...Ch. 3.2 - Three cables are used to support a container as...Ch. 3.2 - The 20-in. tube AB can slide along a horizontal...Ch. 3.2 - Solve Prob. 3.31 for the position corresponding to...Ch. 3.2 - Prob. 33PCh. 3.2 - Prob. 34PCh. 3.2 - Knowing that the tension in cable AB is 570 N,...Ch. 3.2 - Prob. 36PCh. 3.2 - A farmer uses cables and winch pullers B and E to...Ch. 3.2 - Solve Prob. 3.37 when the tension in cable AB is...Ch. 3.2 - To lift a heavy crate, a man uses a block and...Ch. 3.2 - Prob. 40PCh. 3.2 - Prob. 41PCh. 3.2 - Prob. 42PCh. 3.2 - Prob. 43PCh. 3.2 - A sign erected on uneven ground is guyed by cables...Ch. 3.2 - The frame ACD is hinged at and D and is supported...Ch. 3.2 - In Prob. 3.45, determine the moment about the...Ch. 3.2 - Prob. 47PCh. 3.2 - Prob. 48PCh. 3.3 - Two parallel 60-N forces are applied to a lever as...Ch. 3.3 - A plate in the shape of a parallelogram is acted...Ch. 3.3 - Prob. 51PCh. 3.3 - Prob. 52PCh. 3.3 - Four 112-in. -diameter pegs are attached to a...Ch. 3.3 - Prob. 54PCh. 3.3 - Prob. 55PCh. 3.3 - Prob. 56PCh. 3.3 - Replace the two couples shown with a single...Ch. 3.3 - Prob. 58PCh. 3.3 - Shafts A and B connect the gear box to the wheel...Ch. 3.3 - Prob. 60PCh. 3.3 - Prob. 61PCh. 3.3 - The force P has a magnitude of 250 N and is...Ch. 3.3 - Prob. 63PCh. 3.3 - A 260-lb force is applied at A to the rolled-steel...Ch. 3.3 - Prob. 65PCh. 3.3 - A force and couple act as shown on a square plate...Ch. 3.3 - Prob. 67PCh. 3.3 - Prob. 68PCh. 3.3 - Prob. 69PCh. 3.3 - Replace the 150-N force by an equivalent...Ch. 3.3 - Prob. 71PCh. 3.3 - Prob. 72PCh. 3.4 - A 4-m-long beam is subjected to a variety of...Ch. 3.4 - Prob. 74PCh. 3.4 - Determine the single equivalent force and the...Ch. 3.4 - The weights of two children sitting at ends A and...Ch. 3.4 - Prob. 77PCh. 3.4 - Prob. 78PCh. 3.4 - Four forces act on a 700375 -mm plate as shown....Ch. 3.4 - Prob. 80PCh. 3.4 - Prob. 81PCh. 3.4 - A truss supports the loading shown. Determine the...Ch. 3.4 - A machine component is subjected to the forces and...Ch. 3.4 - Solve Prob. 3.83, assuming that P=60N.Ch. 3.4 - Prob. 85PCh. 3.4 - Prob. 86PCh. 3.4 - Prob. 87PCh. 3.4 - Prob. 88PCh. 3.4 - Prob. 89PCh. 3.4 - Assuming e 600 in Prob. 3.89, replace the two...Ch. 3.4 - A blade held in a brace is used to tighten a screw...Ch. 3.4 - Prob. 92PCh. 3.4 - Four signs are mounted on a frame spanning a...Ch. 3.4 - Prob. 94PCh. 3.4 - Prob. 95PCh. 3.4 - Three children are standing on a 55-m raft. The...Ch. 3 - For the shift lever shown, determine the magnitude...Ch. 3 - Consider the volleyball net shown. Determine the...Ch. 3 - A crane is oriented so that the end of the 25-m...Ch. 3 - The 25-m crane boom AO lies in the yz plane....Ch. 3 - A single force P acts at C in a direction...Ch. 3 - While tapping a hole, a machinist applies the...Ch. 3 - A 500-N force is applied to a bent plate as shown....Ch. 3 - Prob. 104RPCh. 3 - Prob. 105RPCh. 3 - Prob. 106RPCh. 3 - Prob. 107RPCh. 3 - A regular tetrahedron has six edges of length a. A...
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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 blade held in a brace is used to tighten a screw at A. (a) Determine the forces exerted at B and C, knowing that these forces are equivalent to a force-couple system at A consisting of R = −(25 N)i + Ry j + Rzk and MA R = −(13.5 N·m)i. (b) Find the corresponding values of Ry and Rz. (c) What is the orientation of the slot in the head of the screw for which the blade is least likely to slip when the brace is in the position shown?arrow_forwardKnowing that = 36° and Mc = 350 ft-lb, reduce the force-couple system shown to an equivalent force and couple at point B. Enter the magnitude of the couple at B below in ft-lb to the nearest whole ft-lb. Enter a positive number if the couple at B is CCW and a negative number if the couple at B is CW. 4 Mc 50 lb 150 lb -3 ft- A 2 ft 4 ftarrow_forward< Previous PROBLEM 3.81 A 500-N force is applied to a bent plate as shown. Determine (a) an equivalent force-couple system at B, (b) an equivalent system formed by a vertical force at A and a force at B. F = (500 N) sin 30 i-(500 N) cos 30 k A B 125 mm 500 N 300 mm 30% 75 mm 175 mmarrow_forward
- The bracket, which is fastened to a wall by anchor bolts at A and B, is loaded by the force P = 140 N and the couple C = 180 N · m. Replace P and C with (a) an equivalent force-couple system, the force of which acts at A; and (b) two vertical forces, one acting at A and the other at B.arrow_forward(Q1) Replace the system shown below by a single force at B and a couple. 700 N 450 N 300 N 60 B 1500 N-m -4 m - 3 m-arrow_forwardAs follower AB rolls along the surface of member C , it exerts a constant force F perpendicular to the surface. (a) Replace F with an equivalent force-couple system at the point D obtained by drawing the perpendicular from the point of contact to the x axis. (b) For a= 1 m and b = 2 m, determine the value of x for which the moment of the equivalent force-couple system at D is maximum.arrow_forward
- Practice Problem 3.4.3: Two cable tensions and a couple act on the rod OAB. Determine the equivalent force-couple system with the force acting 3 m at O. 3 m· -3 m 50 kN A 150 kN•m 20 kN y 4 m - -2 m-arrow_forward2. From the right-angle pipe shown. Replace the 750-N tensile force which the cable exerts on point B by a force- couple system at point O. 0.7 m e-t. 1.2 m- 1.6 m. 30° B A. 0.8 marrow_forward3.104 Five separate force-couple systems act at the corners of a piece of sheet metal, which has been bent into the shape shown. Determine which of these systems is equivalent to a force F = (10 lb)i and a couple of moment M = (15 lb - ftj + (15 lb - ft)k located at the origin. 5 Ib-ft 15 Ib-ft 5 Ib-ft 5 lb-ft 15 Ib-ft 10 lb 10 lb 15 Ib-ft B 2 ft 25 Ib-ft 10 lb 80 lb-ft 2.5 ft 10 lb 15 Ib-ft 2 ft 10 Ib 2 ft' 15 Ib-ft Fig. P3.104 Luarrow_forward
- The bracket, which is fastened to a wall by anchor bolts at A and B, is loaded by the force P = 140 N and the couple C = 180 N•m. Replace P and C with (a) an equivalent force-couple system, the force of which acts at A; and (b) two vertical forces, one acting at A and the other at B.arrow_forwardPractice Problem 2.4.16: The couple acts on the handlesof a steering mechanism. In the position shown, themoment applied by the couple about the z-axis is zero.Determine the distance b.Use F = 200i − 110j − 80k kN.arrow_forwardFive separate force-couple systems act at the corners of a piece of sheet metal that has been bent into the shape shown. Determine which of these systems is equivalent to a force F = (10 lb)i and a couple of moment M = (15 lb·ft)j + (15 lb·ft) k located at the origin.arrow_forward
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