Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
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Chapter B, Problem B.27P
To determine
To find:
The mass moment of inertia about each axis.
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Three balls are attached to a cable and are being rotated. Ball A is 0.5 kg and is 1.0 m away from the axis of rotation. Ball B is 1.0 kg and placed 0.8 m away from the axis. Ball C, which is 0.5 m away from he axis, is 1.2 kg. Calculate the total moment of inertia of the balls.
A homogeneous wire with a mass per unit length of 0.056 kg/m is used to form the figure shown. Determine the mass moment of inertia of the wire with respect to each of the coordinate axes.
Problem (4) The following composite body is comprised of sphere A,
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B
A
Chapter B Solutions
Vector Mechanics For Engineers
Ch. B - A thin plate with a mass m is cut in the shape of...Ch. B - Prob. B.2PCh. B - Prob. B.3PCh. B - Prob. B.4PCh. B - A piece of thin, uniform sheet metal is cut to...Ch. B - Prob. B.6PCh. B - Prob. B.7PCh. B - Prob. B.8PCh. B - Prob. B.9PCh. B - Prob. B.10P
Ch. B - Prob. B.11PCh. B - Prob. B.12PCh. B - Determine by direct integration the mass moment of...Ch. B - Prob. B.14PCh. B - A thin, rectangular plate with a mass m is welded...Ch. B - A thin steel wire is bent into the shape shown....Ch. B - Prob. B.17PCh. B - Prob. B.18PCh. B - Prob. B.19PCh. B - Prob. B.20PCh. B - Prob. B.21PCh. B - Prob. B.22PCh. B - Prob. B.23PCh. B - Prob. B.24PCh. B - Prob. B.25PCh. B - Prob. B.26PCh. B - Prob. B.27PCh. B - Prob. B.28PCh. B - Prob. B.29PCh. B - Prob. B.30PCh. B - Prob. B.31PCh. B - Determine the mass moments of inertia and the...Ch. B - Prob. B.33PCh. B - Prob. B.34PCh. B - Prob. B.35PCh. B - Prob. B.36PCh. B - Prob. B.37PCh. B - Prob. B.38PCh. B - Prob. B.39PCh. B - Prob. B.40PCh. B - Prob. B.41PCh. B - Prob. B.42PCh. B - Prob. B.43PCh. B - Prob. B.44PCh. B - A section of sheet steel 2 mm thick is cut and...Ch. B - Prob. B.46PCh. B - Prob. B.47PCh. B - Prob. B.48PCh. B - Prob. B.49PCh. B - Prob. B.50PCh. B - Prob. B.51PCh. B - Prob. B.52PCh. B - Prob. B.53PCh. B - Prob. B.54PCh. B - Prob. B.55PCh. B - Determine the mass moment ofinertia of the steel...Ch. B - Prob. B.57PCh. B - Prob. B.58PCh. B - Determine the mass moment of inertia of the...Ch. B - Prob. B.60PCh. B - Prob. B.61PCh. B - Prob. B.62PCh. B - Prob. B.63PCh. B - Prob. B.64PCh. B - Prob. B.65PCh. B - Prob. B.66PCh. B - Prob. B.67PCh. B - Prob. B.68PCh. B - Prob. B.69PCh. B - Prob. B.70PCh. B - For the component described in the problem...Ch. B - Prob. B.72PCh. B - For the component described in the problem...Ch. B - Prob. B.74P
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- 3. The pendulum shown is made of a 2-kg rod and 6-kg thin plate. Find ya the location of the center of mass G of the pendulum and the moments of inertia about an axis passing through G and an axis passing through point O. yG 2 m G 0.5 m 1 marrow_forward4. The composite body shown below is formed by a combination of a thin rod and a thin, circular disk. The mass of the rod is 2 kg, and the mass of the disk is 4 kg. a. Calculate the total mass of the body. b. Calculate the center of mass of the body measured from Point O. c. Calculate the moment of inertia of the body about an axis into the plane of the page and passing through Point O. €+++++ 2 m 1 m 1 Y Xarrow_forwardA thin uniform rod of mass M and length L is bent at its center so that the two segments are now perpendicular to each other. Find its moment of inertia about an axis perpendicular to its plane and passing through (a) the point where the two segments meet and (b) the midpoint of the line connecting its two ends.arrow_forward
- The 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_forward3. In the rigid body assembly shown, cach 0.6 m segment of the uniform slender bar has a mass of 0.5 kg and cach sphere has a mass of 0.5 kg. The sphere can be treated as a particle. Determine the moment of inertia of the assembly about the y-axis. 0.6 m 0.6 m 0.6 marrow_forwardWhen a vehicle is accelerating, the loads on one of the wheels on the driving axle are estimated as shown below. The mass of the wheel is 18,7 kg and its diameter is 0,6 m. It has a radius of gyration of 0,23 m around its centre of mass, G. It is known that while the vehicle is accelerating, the wheels roll without slipping. Determine the mass moment of inertia of the wheel about an axis passing through the instantaneous centre of zero velocity of the wheel. |3 kN 2.2 kN 700 N marrow_forward
- . The radius of gyration of the 10kg body about an axis passing through point G (center of mass) and directed perpendicular to the page is rm = 2m. Determine the mass moment of inertia (kg - m²) of the body about an axis passing through point G and directed perpendicular to the page. 4marrow_forwardCalculate the mass moment of inertia of the thin ring shown in the accompanying diagram. Express your answer in kg m2 ⋅ .arrow_forwardPROBLEM NO. 4 Determine the moment of inertia of the wheel about an axis which is perpendicular to the page and passes through the center of mass G. The material has a specific weight y = 90 lb/ft3. 0.25 ft 1 ft 0.25 ft 2 ft 0.5 ft 1 ft MacBook Airarrow_forward
- Example 9.2. In Figure 2, if the large ring, small ring and each of the spokes weigh 100 lb, 15 lb, and 20 lb, respectively, determine the mass moment of inertia of the wheel about an axis perpendicular to the page and passing through point A. 4 ft 1 ft- Figure 2: Rings with spokesarrow_forwardThe thin plate shown is composed of a square plate of mass 80 kg and a quarter-circular plate of mass 50 kg. What is the mass moment of inertia of the shape about the y-axis?arrow_forwardThe pendulum consists of a 7-pound slender rod and an 11-pound plate with even negligible thickness. (a) Determine the mass moment of inertia about the end O of the pendulum. (b) Determine the radius of gyration with respect to point O. (c) Determine the location of the center of gravity. (d) Determine the mass moment of inertia about the center of gravity. 6 ft 1 ft 2.5 ft-arrow_forward
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composite-materials; Author: Tonya Coffey;https://www.youtube.com/watch?v=Vu6ik-bcKf4;License: Standard youtube license