PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 17, Problem 18P
To determine
The moment of inertia of the assembly about an axis perpendicular to the page and passing through point
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The pendulum is suspended from point O and consists of two bars, each weighing 10 lb. Determine the moment of inertia of the pendulum about the axis through pin O.
The pendulum is suspended from point O and consists of two bars, each weighing 10 lb. Determine the moment of inertia of the pendulum about the axis through the center of mass G.
1. Determine the moment of inertia about an axis perpendicular to the page and passing through
the pin at 0. The thin plate has a hole in its center. Its thickness is 50 mm, and the material has a
density of p = 60 kg/m³. What is the radius of gyration about this point?
150 mm
1.40 m
1.40 m
Chapter 17 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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 slender bar lies in the x-y plane. Its mass is 6 kg and the material is homogeneous. Use integration to determine its moment of inertia about the z-axisarrow_forwardROBLEM NO.5 Determine the location y of the center of mass G of the assembly and then calculate the moment of inertia about an axis perpendicular to the page and passing through G. The block has a mass of 3 kg and the semi-cylinder has a mass of 5 kg. 400 mm 300 mm 200 mm MacBook Airarrow_forwardThe pendulum consists of the 3-kg slender rod and the 5-kg thin plate. Determine the location ỹ of the center of mass G of the pendulum; then calculate the moment of inertia of the pendulum about an axis perpendicular to the page and passing through G. y 2 m G 0.5 m Eim-arrow_forward
- Find the moment of inertia and radius of gyration of the section of this bar about an axis parallel to x-axis going through the center of gravity of the bar. The bar is symmetrical about the axis parallel to y-axis and going through the center of gravity of the bar and about the axis parallel to z-axis and going through the center of gravity of the bar. The dimensions of the section are: l=55 mm, h=22 mm The triangle: hT=12 mm, lT=19 mm and the 2 circles: diameter=8 mm, hC=6 mm, dC=8 mm. A is the origin of the referential axis. Provide an organized table and explain all your steps to find the moment of inertia and radius of gyration about an axis parallel to x-axis and going through the center of gravity of the bar. Does the radius of gyration make sense? Enter the y position of the center of gravity of the bar in mm with one decimal.arrow_forwardThe uniform rod of length 4b and mass m is bent into the shape shown. The diameter of the rod is small compared with its length. Determine the moments of inertia of the rod about the three coordinate axes. Use the values m = 7.9 kg and b = 485 mm. Answers: 1xxx = i lyy= i Izz = i kg.m² kg-m² kg-m²arrow_forwardThe uniform rod of length 4b and mass m is bent into the shape shown. The diameter of the rod is small compared with its length. Determine the moments of inertia of the rod about the three coordinate axes. Use the values m = 9.7 kg and b = 650 mm. Answers: Ixx = i lyy= Izz i i kg-m² kg.m² kg.m²arrow_forward
- Determine the moment of inertia of the wheel about an axis which is perpendicular to the page and passes through point O. The material has a specific weight of 90 lb/ft3.arrow_forwardThe slender rods have a mass of 8 kg/m . Suppose that a = 150 mm and b = 250 mm . Determine the moment of inertia of the assembly about an axis perpendicular to the page and passing through point A. Express your answer to three significant figures and include the appropriate units.arrow_forwardThe passengers, the ship and the structure have a total mass of 73 Tons, their center of mass in G, and a radius of gyration with respect to B of kB = 3.5 m. Additionally, the 3-ton steel block at point A can be considered as a point of concentrated mass. If the ship rotates freely at 9.3 rad/s when it reaches the lowest point, as shown in the figure, determine the moment of inertia of the system about pivot B (in kgm2) The angular acceleration for the position shown (in rad/s2) is: The vertical reaction at pivot B (in N) is: The horizontal reaction at pivot B (in N) is:arrow_forward
- Determine the moment of inertia about an axis perpendicular to the screen and passing through the center of mass G of the assembly. The block has a mass of 3.5 kg and the semicylinder has a mass of 8.5 kg. y 400 mm G 200 mm 300 mmarrow_forwardThe cam consists of a circular cylinder A with a circular hole to reduce its moment of inertia and a circular shaft BC about which it rotates. If the cam is made of cast iron with 7200 kg/m3 density, determine the mass moment of inertia about the z axis. 15 mm 20 mm 20 mm 40 mm 25 mm 50 mm 5 mmarrow_forwardThe hammer consists of a cast iron head and wood handle. The iron head has 7000 kg/m density, and its shape is a rectangular prism with a circular hole. The wood handle has 500 kg/m3 density, and its shape is a circular cylinder. Determine the mass moment of inertia about the z axis and the corresponding radius of gyration.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