Engineering Mechanics: Statics & Dynamics (14th Edition)
Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 10.8, Problem 98P
To determine

The location y¯ of the center of mass G of the pendulum and the mass moment of inertia of the pendulum.

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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 10 Solutions

Engineering Mechanics: Statics & Dynamics (14th Edition)

Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia of tire area about...Ch. 10.3 - Determine the moment of inertia of the area about...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia about the x axis.Ch. 10.3 - Determine the moment of inertia about the y axis.Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.3 - Prob. 23PCh. 10.3 - Determine the moment of inertia for the shaded...Ch. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Prob. 6FPCh. 10.4 - Prob. 7FPCh. 10.4 - Prob. 8FPCh. 10.4 - Determine the moment of inertia of the composite...Ch. 10.4 - Determine the moment of inertia of the composite...Ch. 10.4 - Prob. 27PCh. 10.4 - Determine the location y of the centroid of the...Ch. 10.4 - Determine,y, which locates the centroidal axis x...Ch. 10.4 - Determine the moment of inertia for the beams...Ch. 10.4 - Determine the moment of inertia for the beams...Ch. 10.4 - Determine the moment of inertia Ix of the shaded...Ch. 10.4 - Determine the moment of inertia Ix of the shaded...Ch. 10.4 - Determine the moment of inertia of the beams...Ch. 10.4 - Determine, g, which locates the centroidal axis z...Ch. 10.4 - Determine the moment of inertia about the x axis.Ch. 10.4 - Determine the moment of inertia about the y axis.Ch. 10.4 - Prob. 38PCh. 10.4 - Prob. 39PCh. 10.4 - Prob. 40PCh. 10.4 - Prob. 41PCh. 10.4 - Prob. 42PCh. 10.4 - Prob. 43PCh. 10.4 - Prob. 44PCh. 10.4 - Prob. 45PCh. 10.4 - Prob. 46PCh. 10.4 - Determine the moment of inertia for the shaded...Ch. 10.4 - Prob. 48PCh. 10.4 - Prob. 49PCh. 10.4 - Prob. 50PCh. 10.4 - Determine the moment of inertia for the beams...Ch. 10.4 - Prob. 52PCh. 10.4 - Prob. 53PCh. 10.7 - Prob. 54PCh. 10.7 - Prob. 55PCh. 10.7 - Determine the product of inertia for the shaded...Ch. 10.7 - Prob. 57PCh. 10.7 - Prob. 58PCh. 10.7 - Prob. 59PCh. 10.7 - Prob. 60PCh. 10.7 - Prob. 61PCh. 10.7 - Prob. 62PCh. 10.7 - Prob. 63PCh. 10.7 - Determine the product of inertia for the beams...Ch. 10.7 - Prob. 65PCh. 10.7 - Prob. 66PCh. 10.7 - Prob. 67PCh. 10.7 - Prob. 68PCh. 10.7 - Prob. 69PCh. 10.7 - Prob. 70PCh. 10.7 - Solve Prob. 10-70 using Mohrs circle Hint. To...Ch. 10.7 - Prob. 72PCh. 10.7 - Solve Prob. 10-72 using Mohrs circle.Ch. 10.7 - Prob. 74PCh. 10.7 - Solve Prob. 10-74 using Mohrs circle.Ch. 10.7 - Prob. 76PCh. 10.7 - Solve Prob. 10-76 using Mohrs circle.Ch. 10.7 - Prob. 78PCh. 10.7 - Prob. 79PCh. 10.7 - Prob. 80PCh. 10.7 - Solve Prob. 10-80 using Mohrs circle.Ch. 10.7 - Prob. 82PCh. 10.7 - Solve Prob. 10-82 using Mohrs circle.Ch. 10.8 - Prob. 84PCh. 10.8 - Prob. 85PCh. 10.8 - Prob. 86PCh. 10.8 - Prob. 87PCh. 10.8 - Determine the moment of inertia of the homogenous...Ch. 10.8 - Determine the moment of inertia of the...Ch. 10.8 - Prob. 90PCh. 10.8 - The concrete shape is formed by rotating the...Ch. 10.8 - Prob. 92PCh. 10.8 - The right circular cone is formed by revolving the...Ch. 10.8 - Prob. 94PCh. 10.8 - Prob. 95PCh. 10.8 - The pendulum consists of a 8-kg circular disk A, a...Ch. 10.8 - Determine the moment of inertia Ix of the frustum...Ch. 10.8 - Prob. 98PCh. 10.8 - Prob. 99PCh. 10.8 - Prob. 100PCh. 10.8 - Prob. 101PCh. 10.8 - Prob. 102PCh. 10.8 - Prob. 103PCh. 10.8 - Prob. 104PCh. 10.8 - Prob. 105PCh. 10.8 - Prob. 106PCh. 10.8 - Prob. 107PCh. 10.8 - Prob. 108PCh. 10.8 - Prob. 109PCh. 10.8 - Prob. 1RPCh. 10.8 - Prob. 2RPCh. 10.8 - Prob. 3RPCh. 10.8 - Prob. 4RPCh. 10.8 - Prob. 5RPCh. 10.8 - Determine the product of inertia of the shaded...
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moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY