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 50P
A plate in the shape of a parallelogram is acted upon by two couples. Determine (a) the moment of the couple formed by the two 21-lb forces, (b) the perpendicular distance between the 12-lb forces if the resultant of the two couples is zero, (c) the value of a if the resultant couple is
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A plate in the shape of a parallelogram is acted upon by two couples.Determine (a) the moment of the couple formed by the two 21-lb forces, (b) the perpendicular distance between the 12-lb forces if the resultant of the two couples is zero, (c) the value of a if the resultant couple is 72 lb·in. clockwise and d is 42 in.
3.68 A steel plate is acted upon by two couples as shown. Determine
(a) the moment of the couple formed by the two 40-N forces, (b) the value
of a if the resultant of the two couples is 8 N· m counterclockwise and
d = 820 mm, (c) the perpendicular distance between the two 24-N forces if
the resultant of the two couples is zero.
-600 mm-
24 NE
F
D
40 N
d
40 N
24 N
A
A 20-lb force is applied to the control rod AB as shown. Knowing that the length of the rod is 9 in. and that the moment of the force about B is 120 lb·in. clockwise, determine the value of 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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- 120 Rigid Bodies: Equivalent Systems of Forces 3.74 Two parallel 40-N forces are applied to a lever as shown. Deter- mine the moment of the couple formed by the two forces (a) by resolving each force into horizontal and vertical components and adding the moments of the two resulting couples, (b) by using the perpendicular distance between the two forces, (e) by summing the moments of the two forces about point A. 20° 40 N The tw hafts of a sneed-reducer unit are subiected to couples mag d = 1 Ib I ad M "couples with a gle quivalent couple, specifts mag- .ade and the dire 40 N 270 mm w It, respectiv y. Pplace its axis. 55° 390 mm A O Fig. P3.74arrow_forwardA 20-lb force is applied to the control rod AB as shown. Knowing that the length of the rod is 9 in. and that aplha=25 degrees, determine the moment of the force about point B by resolving the force into horizontal and vertical components.arrow_forwardThe tailgate of a car is supported by the hydraulic lift BC. If the lift exerts a 128-lb force directed along its centerline on the ball and socket at B, determine the moment of the force about A. 15.3 in. B 12.0 in. 12.0 in. 2.33 in. The moment of the force about A is 118.93 lb-ft Ⓒ.arrow_forward
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