Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 3.4, Problem 1PP
In each case, determine the moment of the force about point O.
Prob. P3-1
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A gearbox has permanent shaft positions defined by the bearing mounting positions, but the gear ratio can be changed by changing the number of teeth in the pinion and gear. To achieve similar power transmission ability for different gear ratios, a manufacturer chooses to have the same module for two different gearboxes. One of the gaerboxes has a pinion with 22 teeth, a gear with 68 teeth, and a center distance of 225mm. How large is the gear module and which gear ratios are possible for a pinion with 22 or more teeth using the same module?
A gear train has a 50.3 mm circular pitch and a 25 degree pressure angle and meshes with a pinion having 12 teeth Design this gear train to minimize its volume and the total number of teeth. Obtain the pitch diameters the number of teeth the speed ratio the center distance and the module of this gear train. The gearbox housing has a diameter of 620mm
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Chapter 3 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 3.4 - In each case, determine the moment of the force...Ch. 3.4 - In each case, set up the determinant to find the...Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the resultant moment produced by the...Ch. 3.4 - Determine the resultant moment produced by the...
Ch. 3.4 - Prob. 9FPCh. 3.4 - Prob. 10FPCh. 3.4 - Determine the moment of force F about point O....Ch. 3.4 - If F1 = {100i 120j + 75k} lb and F2 = {200i +...Ch. 3.4 - Prob. 1PCh. 3.4 - Prove the triple scalar product identity A(B C) =...Ch. 3.4 - Given the three nonzero vectors A, B, and C, show...Ch. 3.4 - Determine the moment about point A of each of the...Ch. 3.4 - Determine the moment about point B of each of the...Ch. 3.4 - Prob. 6PCh. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Prob. 9PCh. 3.4 - If FB= 30 lb and FC = 45 lb, determine the...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - Prob. 13PCh. 3.4 - The 20-N horizontal force acts on the handle of...Ch. 3.4 - Two men exert forces of F = 80 lb and P = 50 lb on...Ch. 3.4 - If the man at B exerts a force of P = 30 lb on the...Ch. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - The handle of the hammer is subjected to the force...Ch. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - The tower crane is used to hoist the 2-Mg load...Ch. 3.4 - The tower crane is used to hoist a 2-Mg load...Ch. 3.4 - Prob. 25PCh. 3.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 3.4 - Prob. 27PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - The force F = {400i 100j 700k} lb acts at the...Ch. 3.4 - Prob. 30PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - Prob. 32PCh. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - A force of F = {6i 2j + lk) kN produces a moment...Ch. 3.4 - The force F = {6i + 8j + l0k} N creates a moment...Ch. 3.5 - In each case, determine the resultant moment of...Ch. 3.5 - In each case, set up the determinant needed to...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the 200-N...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 17FPCh. 3.5 - Determine the moment of force F about the x, the...Ch. 3.5 - The lug nut on the wheel of the automobile is to...Ch. 3.5 - Prob. 40PCh. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 42PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the moment of force F about an axis...Ch. 3.5 - Prob. 45PCh. 3.5 - The board is used to hold the end of the cross lug...Ch. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 48PCh. 3.5 - Prob. 49PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 51PCh. 3.5 - Prob. 52PCh. 3.5 - Determine the moment of the force about the aa...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Prob. 21FPCh. 3.6 - Prob. 22FPCh. 3.6 - Prob. 23FPCh. 3.6 - Prob. 24FPCh. 3.6 - A clockwise couple M = 5 N m is resisted by the...Ch. 3.6 - A twist of 4 N m is applied to the handle of the...Ch. 3.6 - If the resultant couple of the three couples...Ch. 3.6 - If F = 125 1b, determine the resultant couple...Ch. 3.6 - Determine the magnitude of F so that the resultant...Ch. 3.6 - Determine the magnitude and coordinate direction...Ch. 3.6 - Prob. 60PCh. 3.6 - Prob. 61PCh. 3.6 - Prob. 62PCh. 3.6 - Prob. 63PCh. 3.6 - Express the moment of the couple acting on the...Ch. 3.6 - If the couple moment acting on the pipe has a...Ch. 3.6 - Prob. 66PCh. 3.6 - Prob. 67PCh. 3.6 - Express the moment of the couple acting on the rod...Ch. 3.6 - Prob. 69PCh. 3.6 - Prob. 70PCh. 3.7 - In each case, determine the x and y components of...Ch. 3.7 - Prob. 25FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 27FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 29FPCh. 3.7 - Prob. 30FPCh. 3.7 - Prob. 71PCh. 3.7 - Prob. 72PCh. 3.7 - Prob. 73PCh. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Prob. 76PCh. 3.7 - Replace the loading acting on the post by an...Ch. 3.7 - Replace the loading acting on the post by a...Ch. 3.7 - Prob. 79PCh. 3.7 - Prob. 80PCh. 3.7 - Prob. 81PCh. 3.7 - Prob. 82PCh. 3.7 - Prob. 83PCh. 3.7 - Replace the force of F = 80 N acting on the pipe...Ch. 3.7 - Prob. 85PCh. 3.7 - The belt passing over the pulley is subjected to...Ch. 3.8 - In each case, determine the x and y components of...Ch. 3.8 - Prob. 7PPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Prob. 32FPCh. 3.8 - Prob. 33FPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Replace the loading by an equivalent single...Ch. 3.8 - Prob. 36FPCh. 3.8 - Prob. 87PCh. 3.8 - Prob. 88PCh. 3.8 - Prob. 89PCh. 3.8 - Prob. 90PCh. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Prob. 94PCh. 3.8 - Replace the loading on the frame by a single...Ch. 3.8 - Replace the loading acting on the post by a...Ch. 3.8 - Replace the loading acting on the post by a...Ch. 3.8 - Replace the parallel force system acting on the...Ch. 3.8 - Replace the loading acting on the frame by an...Ch. 3.8 - Replace the loading acting on the frame by an...Ch. 3.8 - If FA = 7 kN and FB = 5 kN, represent the force...Ch. 3.8 - Determine the magnitudes of FA and FB so that the...Ch. 3.8 - Prob. 103PCh. 3.8 - The building slab is subjected to four parallel...Ch. 3.8 - The building slab is subjected to four parallel...Ch. 3.8 - If FA = 40 kN and FB = 35 kN, determine the...Ch. 3.8 - If the resultant force is required to act at the...Ch. 3.9 - Determine the resultant force and specify where it...Ch. 3.9 - Prob. 38FPCh. 3.9 - Determine the resultant force and specify where it...Ch. 3.9 - Prob. 40FPCh. 3.9 - Prob. 41FPCh. 3.9 - Prob. 42FPCh. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Replace the distributed loading with an equivalent...Ch. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Currently eighty-five percent of all neck injuries...Ch. 3.9 - Prob. 112PCh. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Prob. 115PCh. 3.9 - Determine the equivalent resultant force and...Ch. 3.9 - Determine the magnitude of the equivalent...Ch. 3 - The boom has a length of 30 ft, a weight of 800...Ch. 3 - Replace the force F having a magnitude of F = 50...Ch. 3 - The hood of the automobile is supported by the...Ch. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - The building slab is subjected to four parallel...Ch. 3 - Replace the distributed loading by an equivalent...
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