Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 4.5, Problem 53P
Determine the moment of this force F about an axis extending between A and C. Express the result as a Cartesian
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6/86 The connecting rod AB of a certain internal-combustion engine weighs 1.2 lb with mass center at G
and has a radius of gyration about G of 1.12 in. The piston and piston pin A together weigh 1.80 lb. The
engine is running at a constant speed of 3000 rev/min, so that the angular velocity of the crank is
3000(2)/60 = 100л rad/sec. Neglect the weights of the components and the force exerted by the gas in
the cylinder compared with the dynamic forces generated and calculate the magnitude of the force on the
piston pin A for the crank angle 0 = 90°. (Suggestion: Use the alternative moment relation, Eq. 6/3, with B
as the moment center.)
Answer
A = 347 lb
3"
1.3"
B
1.7"
PROBLEM 6/86
6/85 In a study of head injury against the instrument panel of a car during sudden or crash stops where
lap belts without shoulder straps or airbags are used, the segmented human model shown in the figure is
analyzed. The hip joint O is assumed to remain fixed relative to the car, and the torso above the hip is
treated as a rigid body of mass m freely pivoted at O. The center of mass of the torso is at G with the initial
position of OG taken as vertical. The radius of gyration of the torso about O is ko. If the car is brought to a
sudden stop with a constant deceleration a, determine the speed v relative to the car with which the
model's head strikes the instrument panel. Substitute the values m = 50 kg, 7 = 450 mm, r = 800 mm, ko
= 550 mm, 0 = 45°, and a = 10g and compute v.
Answer
v = 11.73 m/s
PROBLEM 6/85
Chapter 4 Solutions
Engineering Mechanics: Statics
Ch. 4.4 - F41. Determine the moment of the force about point...Ch. 4.4 - F42. Determine the moment of the force about point...Ch. 4.4 - F43. Determine the moment of the force about point...Ch. 4.4 - Neglect the thickness of the member.Ch. 4.4 - F45. Determine the moment of the force about point...Ch. 4.4 - F46. Determine the moment of the force about point...Ch. 4.4 - F47. Determine the resultant moment produced by...Ch. 4.4 - F48. Determine the resultant moment produced by...Ch. 4.4 - F49. Determine the resultant moment produced by...Ch. 4.4 - Express the result as a Cartesian vector.
Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - Express the result as a Cartesian vector.Ch. 4.4 - If A, B, and D are given vectors, prove the...Ch. 4.4 - Prove the triple scalar product identity A (B C)...Ch. 4.4 - Given the three nonzero vectors A, B and C, show...Ch. 4.4 - Determine the moment about point A of each of the...Ch. 4.4 - Determine the moment about point B of each of the...Ch. 4.4 - Prob. 6PCh. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Take FB = 40 lb, FC = 50 lb. Probs. 49/10Ch. 4.4 - If FB = 30 lb and FC = 45 lb, determine the...Ch. 4.4 - Prob. 11PCh. 4.4 - Prob. 12PCh. 4.4 - Prob. 13PCh. 4.4 - Prob. 14PCh. 4.4 - Prob. 15PCh. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - The tower crane is used to hoist the 2-Mg load...Ch. 4.4 - The tower crane is used to hoist a 2-Mg load...Ch. 4.4 - The handle of the hammer is subjected to the force...Ch. 4.4 - In order to pull out the nail at B, the force F...Ch. 4.4 - Prob. 22PCh. 4.4 - Prob. 23PCh. 4.4 - Prob. 24PCh. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - Prob. 27PCh. 4.4 - Prob. 28PCh. 4.4 - Prob. 29PCh. 4.4 - A force F having a magnitude of F = 100N acts...Ch. 4.4 - Prob. 31PCh. 4.4 - Prob. 32PCh. 4.4 - Prob. 33PCh. 4.4 - Prob. 34PCh. 4.4 - Using a ring collar, the 75-N force can act in the...Ch. 4.4 - Prob. 36PCh. 4.4 - Prob. 37PCh. 4.4 - Force F acts perpendicular to the inclined plane....Ch. 4.4 - Force F acts perpendicular to the inclined plane....Ch. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - Strut AB of the 1-m-diameter hatch door exerts a...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - A force F = {6i 2j + 1k}kN produces a moment of...Ch. 4.4 - The force F = {6i + 8j + 10k}N creates a moment...Ch. 4.5 - F413. Determine the magnitude of the moment of the...Ch. 4.5 - F414. Determine the magnitude of the moment of the...Ch. 4.5 - Prob. 15FPCh. 4.5 - F416. Determine the magnitude of the moment of the...Ch. 4.5 - Express the result as a Cartesian vector.Ch. 4.5 - Prob. 18FPCh. 4.5 - Prob. 47PCh. 4.5 - Prob. 48PCh. 4.5 - Prob. 49PCh. 4.5 - Prob. 50PCh. 4.5 - Determine the moment of this force about the...Ch. 4.5 - Determine the magnitude of the moments of the...Ch. 4.5 - Determine the moment of this force F about an axis...Ch. 4.5 - The board is used to hold the end of a four-way...Ch. 4.5 - The board is used to hold the end of a four-way...Ch. 4.5 - Prob. 56PCh. 4.5 - Prob. 57PCh. 4.5 - Prob. 58PCh. 4.5 - Prob. 59PCh. 4.5 - The force of F = 30 N acts on the bracket as...Ch. 4.5 - Prob. 61PCh. 4.5 - Prob. 62PCh. 4.5 - Prob. 63PCh. 4.5 - Prob. 64PCh. 4.5 - Prob. 65PCh. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.6 - F419. Determine the resultant couple moment acting...Ch. 4.6 - F420. Determine the resultant couple moment acting...Ch. 4.6 - Determine the magnitude of F so that the resultant...Ch. 4.6 - Determine the couple moment acting on the beam.Ch. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Determine the couple moment acting on the pipe...Ch. 4.6 - A twist of 4 N m is applied to the handle of the...Ch. 4.6 - Prob. 68PCh. 4.6 - Prob. 69PCh. 4.6 - Two couples act on the beam. If F = 125 lb,...Ch. 4.6 - Two couples act on the beam. Determine the...Ch. 4.6 - Determine the magnitude of the couple forces so...Ch. 4.6 - The man tries to open the valve by applying the...Ch. 4.6 - If the valve can be opened with a couple moment of...Ch. 4.6 - Prob. 75PCh. 4.6 - Determine the magnitude of the couple forces F so...Ch. 4.6 - Two couples act on the beam as shown. If F = 150...Ch. 4.6 - Two couples act on the beam as shown. Determine...Ch. 4.6 - Prob. 79PCh. 4.6 - Prob. 80PCh. 4.6 - Prob. 81PCh. 4.6 - Prob. 82PCh. 4.6 - Prob. 83PCh. 4.6 - Prob. 84PCh. 4.6 - Prob. 85PCh. 4.6 - Prob. 86PCh. 4.6 - Prob. 87PCh. 4.6 - Prob. 88PCh. 4.6 - Prob. 89PCh. 4.6 - Prob. 90PCh. 4.6 - If F = 80 N, determine the magnitude and...Ch. 4.6 - If the magnitude of the couple moment acting on...Ch. 4.6 - Prob. 93PCh. 4.6 - Prob. 94PCh. 4.6 - If F1 = 100 N, F2 = 120 N, and F3 = 80 N,...Ch. 4.6 - Prob. 96PCh. 4.7 - Replace the leading system by an equivalent...Ch. 4.7 - Prob. 26FPCh. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Replace the loading system by an equivalent...Ch. 4.7 - Prob. 97PCh. 4.7 - Prob. 98PCh. 4.7 - Replace the force system acting on the beam by an...Ch. 4.7 - Replace the force system acting on the beam by an...Ch. 4.7 - Replace the force system acting on the post by a...Ch. 4.7 - Prob. 102PCh. 4.7 - Prob. 103PCh. 4.7 - Prob. 104PCh. 4.7 - Prob. 105PCh. 4.7 - Prob. 106PCh. 4.7 - A biomechanical model of the lumbar region of the...Ch. 4.7 - Prob. 108PCh. 4.7 - Prob. 109PCh. 4.7 - The belt passing over the pulley is subjected to...Ch. 4.7 - The belt passing over the pulley is subjected to...Ch. 4.7 - Prob. 112PCh. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Replace the loading shown by an equivalent single...Ch. 4.8 - Replace the loading shown by an equivalent single...Ch. 4.8 - The weights of the various components of the truck...Ch. 4.8 - The weights of the various components of the truck...Ch. 4.8 - Prob. 115PCh. 4.8 - Prob. 116PCh. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - R46. Replace the force system acting on the frame...Ch. 4.8 - Prob. 120PCh. 4.8 - Prob. 121PCh. 4.8 - Prob. 122PCh. 4.8 - Prob. 123PCh. 4.8 - Replace the force system acting on the post by a...Ch. 4.8 - Replace the force system acting on the post by a...Ch. 4.8 - Prob. 126PCh. 4.8 - The tube supports the four parallel forces....Ch. 4.8 - Prob. 128PCh. 4.8 - Prob. 129PCh. 4.8 - Determine the equivalent resultant force and...Ch. 4.8 - Prob. 131PCh. 4.8 - If FA= 40 kN and FB = 35 kN, determine the...Ch. 4.8 - Prob. 133PCh. 4.8 - Replace the two wrenches and the force, acting on...Ch. 4.8 - Prob. 135PCh. 4.8 - Prob. 136PCh. 4.8 - Prob. 137PCh. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Prob. 138PCh. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Prob. 140PCh. 4.9 - Prob. 141PCh. 4.9 - Prob. 142PCh. 4.9 - Prob. 143PCh. 4.9 - The distribution of soil loading on the bottom of...Ch. 4.9 - R48. Replace the distributed loading by an...Ch. 4.9 - Prob. 146PCh. 4.9 - Prob. 147PCh. 4.9 - Prob. 148PCh. 4.9 - Prob. 149PCh. 4.9 - Replace the loading by an equivalent force and...Ch. 4.9 - Prob. 151PCh. 4.9 - Prob. 152PCh. 4.9 - Prob. 153PCh. 4.9 - Prob. 154PCh. 4.9 - Prob. 155PCh. 4.9 - Prob. 156PCh. 4.9 - Prob. 157PCh. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Wet concrete exerts a pressure distribution along...Ch. 4.9 - Prob. 160PCh. 4.9 - Prob. 161PCh. 4.9 - Prob. 162PCh. 4.9 - Prob. 163RPCh. 4.9 - Prob. 164RPCh. 4.9 - Prob. 165RPCh. 4.9 - Prob. 166RPCh. 4.9 - R42. Replace the force F having a magnitude of F =...Ch. 4.9 - Prob. 168RPCh. 4.9 - Prob. 169RPCh. 4.9 - Prob. 170RPCh. 4.9 - Prob. 171RPCh. 4.9 - and mass center at G. If the maximum moment that...Ch. 4.9 - Prob. 173RP
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