EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Textbook Question
Chapter 17, Problem 2P
The solid cylinder has an outer radius R1 height h1 and is made from a material having a density that varies from its center as ρ = k + ar2, where k and a are constants. Determine the mass of the cylinder end its moment of inertia about the z axis.
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Chapter 17 Solutions
EBK ENGINEERING MECHANICS
Ch. 17 - Determine the moment of inertia Iy for the slender...Ch. 17 - The solid cylinder has an outer radius R1 height...Ch. 17 - Determine the moment of inertia of the thin ring...Ch. 17 - Prob. 9PCh. 17 - The pendulum consists of a 4-kg circular plate and...Ch. 17 - Prob. 12PCh. 17 - The wheel consists of a thin ring having a mass of...Ch. 17 - If the large ring, small ring and each of the...Ch. 17 - Determine the moment of inertia about an axis...Ch. 17 - Prob. 16P
Ch. 17 - Determine the location y of the center of mass G...Ch. 17 - Prob. 18PCh. 17 - Prob. 19PCh. 17 - Determine the moment of inertia of the wheel about...Ch. 17 - The pendulum consists of the 3-kg slender rod and...Ch. 17 - Prob. 22PCh. 17 - Determine the moment of inertia of the overhung...Ch. 17 - Prob. 1FPCh. 17 - Prob. 2FPCh. 17 - Prob. 3FPCh. 17 - Prob. 4FPCh. 17 - At the instant shown both rods of negligible mass...Ch. 17 - Prob. 6FPCh. 17 - The door has a weight of 200 lb and a center of...Ch. 17 - The door has a weight or 200 lb and a center of...Ch. 17 - The jet aircraft has a total mass of 22 Mg and a...Ch. 17 - The sports car has a weight of 4500 lb and center...Ch. 17 - The bar has a weight per length w and is supported...Ch. 17 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17 - Prob. 44PCh. 17 - If the carts mass is 30 kg and it is subjected to...Ch. 17 - Prob. 50PCh. 17 - Prob. 53PCh. 17 - Prob. 54PCh. 17 - The 100-kg wheel has a radius of gyration about...Ch. 17 - Prob. 8FPCh. 17 - Prob. 9FPCh. 17 - Prob. 10FPCh. 17 - Prob. 11FPCh. 17 - Prob. 12FPCh. 17 - The 10-kg wheel has a radius of gyration kA = 200...Ch. 17 - The uniform 24-kg plate is released from rest at...Ch. 17 - The uniform slender rod has a mass m. If it is...Ch. 17 - The tent rod has a mass of 2 kg/m. If it is...Ch. 17 - Disk A has a weight of 5 lb and disk B has a...Ch. 17 - Prob. 66PCh. 17 - The reel of cable has a mass of 400 kg and a...Ch. 17 - Prob. 72PCh. 17 - Cable is unwound from a spool supported on small...Ch. 17 - The 5-kg cylinder is initially at rest when it is...Ch. 17 - Prob. 76PCh. 17 - Disk D turns with a constant clockwise angular...Ch. 17 - Prob. 78PCh. 17 - Prob. 81PCh. 17 - Prob. 85PCh. 17 - The Catherine wheel is a firework that consists of...Ch. 17 - The uniform 60-kg slender bar is initially at rest...Ch. 17 - Prob. 14FPCh. 17 - Prob. 15FPCh. 17 - The 20- kg sphere rolls down the inclined plane...Ch. 17 - The 200-kg spool has a radius of gyration about...Ch. 17 - The 12-kg slender rod is pinned to a small roller...Ch. 17 - If the disk in Fig. 17-19 rolls without slipping,...Ch. 17 - The uniform 150-lb beam is initially at rest when...Ch. 17 - The spool has a mass of 100 kg and a radius of...Ch. 17 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17 - The spool has a mass of 100 kg and a radius of...Ch. 17 - A force of F= 10 N is applied to the 10-kg ring as...Ch. 17 - If the coefficient of static friction at C is s =...Ch. 17 - If P = 30 lb, determine the angular acceleration...Ch. 17 - If the coefficient of static friction between the...Ch. 17 - The semicircular disk having a mass of 10 leg is...Ch. 17 - The circular concrete culvert rols with an angular...Ch. 17 - The uniform disk of mass m is rotating with an...Ch. 17 - The uniform disk of mass m is rotating with an...Ch. 17 - The uniform beam has a weight W. If it is...Ch. 17 - The 500-lb beam is supported at A and B when it is...Ch. 17 - Prob. 1RPCh. 17 - Prob. 2RPCh. 17 - Prob. 3RPCh. 17 - Prob. 4RPCh. 17 - Prob. 5RPCh. 17 - Prob. 6RPCh. 17 - Prob. 7RPCh. 17 - Prob. 8RP
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- The thick plate consists of steel with a density of density = 15 slug /ft^3. Determine the moment of inertia of the plate about the z-axis shown in the figure and express it in slug ∗ ft^2.arrow_forwardThe density of the material is 7.85 Mg / m3. Determine the mass moment of inertia of the assembly about the z axis.arrow_forwardDetermine the moment of inertia about an axis perpendicular to the pageand passing through the pin at O. The thin plate has a hole in its center. Its thicknessis 50 mm, and the material has a density ⍴ = 75 kg/m3arrow_forward
- Find the Moment of inertia of the given section about X-X axis passing through its center ofgravity. Take A= 80 mm, B= 20 mm, C= 60 mm and D= 100 mmarrow_forwardDetermine the moment of inertia of the composite area about the y axis. Set a = 420 mm,b = 160 mm, h = 80 mm, r= 55 mmarrow_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
- Determine the moment of inertia of the composite figure about the centroidal x and y axis.arrow_forwardThe paraboloid is formed by revolving the shaded area around the x axis. The material has a constant density ρ. Determine the moment of inertia about the x axis and express the result in terms of the total mass m of the paraboloid.arrow_forwardFormulas Moments of Inertia x= [y²d ly = fx²dA Theorem of Parallel Axis Ixr = 1 + d² A * axis going through the centroid x' axis parallel to x going through the point of interest d minimal distance (perpendicular) between x and x' ly₁ = 15+d²A ỹ axis going through the centroid y' axis parallel to y going through the point of interest d minimal distance (perpendicular) between y and y' Composite Bodies 1=Σ 4 All the moments of inertia should be about the same axis. Radius of Gyration k=arrow_forward
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moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY