Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 21.1, Problem 13P
Determine the product of inertia Iyz of the composite plate assembly. The plates have a weight of 6 lb/ft2.
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Determine the product of inertia Ixy for the slender
rod of mass m.
|
1/2
Ө
1/2
The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y axis. What percentage error e is
introduced by using the approximate relation 1/3 ml² for lxx?
Answers:
lyy=
e=
i
i
-185
y
445
185
Dimensions in millimeters
740
140
kg.m²
%
The molded plastic block has a density of
1300 kg/m³. Calculate its moment of inertia
about the y-y axis. What percentage error e
is introduced by using the approximate
relation 1/3 ml² for lxx?
Answers:
lyy
e =
=
200
y
495
200
Dimensions in millimeters
textes
kg m²
%
60
60
Chapter 21 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Determine the moment of inertia of the cone with...Ch. 21.1 - Determine moment of inertia Iy of the solid formed...Ch. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - The density of the material is . Express the...Ch. 21.1 - Prob. 6PCh. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - The weight of the cone is 15 lb, the height is h =...Ch. 21.1 - The density of the material is .
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Determine the product of inertia Iyz of the...Ch. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Determine the moment of inertia of the rod about...Ch. 21.1 - Prob. 17PCh. 21.1 - Prob. 18PCh. 21.1 - Prob. 19PCh. 21.1 - Prob. 20PCh. 21.1 - Prob. 21PCh. 21.3 - If a body contains no planes of symmetry, the...Ch. 21.3 - Prob. 23PCh. 21.3 - Prob. 24PCh. 21.3 - The large gear has a mass of 5 kg and a radius of...Ch. 21.3 - Prob. 26PCh. 21.3 - Prob. 27PCh. 21.3 - Prob. 28PCh. 21.3 - Prob. 29PCh. 21.3 - Prob. 30PCh. 21.3 - Prob. 31PCh. 21.3 - Prob. 32PCh. 21.3 - The 20-kg sphere rotates about the axle with a...Ch. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 35PCh. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Prob. 38PCh. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Derive the scalar form of the rotational equation...Ch. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - The disk has a weight of 15 lb. Neglect the weight...Ch. 21.4 - Prob. 46PCh. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - The 5-kg circular disk is mounted off center on a...Ch. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - The 4-kg slender rod AB is pinned at A and held at...Ch. 21.4 - Prob. 57PCh. 21.4 - Prob. 58PCh. 21.4 - Prob. 59PCh. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - Prob. 61PCh. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - Prob. 63PCh. 21.6 - Prob. 64PCh. 21.6 - Prob. 65PCh. 21.6 - When viewed from the front of the airplane, the...Ch. 21.6 - Prob. 67PCh. 21.6 - Prob. 68PCh. 21.6 - Prob. 69PCh. 21.6 - Prob. 70PCh. 21.6 - Prob. 71PCh. 21.6 - Prob. 72PCh. 21.6 - Prob. 73PCh. 21.6 - Prob. 74PCh. 21.6 - Prob. 75PCh. 21.6 - Prob. 76PCh. 21.6 - Prob. 77PCh. 21.6 - Prob. 78P
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- Determine the moment of inertia of the homogenous triangular prism with respect to the y axis. Express the result in terms of the mass m of the prism. Hint: For integration, use thin plate elements parallel to the x–y plane having a thickness of dz.arrow_forwardDetermine the moment of inertia of mass with respect to the x' axis that passes through the structure's center of gravity and is parallel to the x axis. The cone has a density of 6000 kg/m3 and the cylinder a density of 8000 kg/m3. Consider H = 83arrow_forwardDetermine the moment of inertia of the solid steel assembly about the x-axis. The specific weight of steel is Yst = 488 lb/ft3. 0.25 pie -2 pies- 3 pies ļ 0.5 pie Xarrow_forward
- The molded plastic block has a density of 1300 kg/m³. Calculate its moment of inertia about the y-y axis. What percentage error e is introduced by using the approximate relation 1/3 ml² for Ixx? Answers: lyy= 0.8 185 1.108 y 445 185 Dimensions in millimeters 140 140 % kg.m²arrow_forwardDetermine the moment of inertia of the solid steel assembly about the x axis. Steel has a specific weight of Ya - 490 lb/ft³. 0.25 ft 0.5 ft -3 ftarrow_forwardDetermine the product of inertia of the thin strip of area with respect to the x and y axes. The strip is oriented at an angle from the axis. Assume that t << I. Express your answer in terms of the variables 1, t, and 0.arrow_forward
- Given the thin square plate: Determine mass moment of inertia:arrow_forwardSpecifically a Statics problem. Determine the moment of inertia of the shape with respect to the horizontal axis passing through its centroid (all dimensions in mm).arrow_forward0.4m-0.4 m- 1.5 m 0.1 m %23 03m The pendulum consists of two slender rods AB and OC which have a mass per unit length of 3.00 kg m The thin plate has a mass of 12 kg m Determine the moment of inertia of the pendulum about an axis perpendicular to the page and passing through the pin at 0arrow_forward
- A) Determine the position of the center of gravity of the figure's structure. B)Determine the moment of inertia of mass with respect to the x' axis that passes through the structure's center of gravity and is parallel to the x axis. The cone has a density of 600 kg/m3 and the cylinder a density of 800 kg/m3. Consider H = 83arrow_forwardThe S-shaped piece is formed from a rod of diameter d and bent into the two semicircular shapes. Determine the products of inertia for the rod, for which d is small compared with r. The total mass of the piece is m = 9.1 kg and the distance r is 395 mm. Answers: Ixy = Ixz = lyz = i i i d kg-m² kg-m² kg-m²arrow_forwardDetermine the centroid of the composite body. Then, determine the moment of inertia about the x'-x' axis.arrow_forward
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