PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 21, Problem 69P
To determine
The spin
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Chapter 21 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 21 - Show that the sum of the moments of inertia of a...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Determine the moments of inertia Ix and Iy of the...Ch. 21 - Prob. 5PCh. 21 - Determine by direct integration the product of...Ch. 21 - Prob. 9PCh. 21 - Prob. 10PCh. 21 - Determine the moment of inertia Ixx of the...Ch. 21 - Prob. 13P
Ch. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - The bent rod has a weight of 1.5 lb/ft. Locate the...Ch. 21 - If a body contains no planes of symmetry, the...Ch. 21 - Prob. 23PCh. 21 - Prob. 25PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - The 2-kg thin disk is connected to the slender rod...Ch. 21 - Prob. 33PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 48PCh. 21 - Prob. 51PCh. 21 - Prob. 54PCh. 21 - Show that the angular velocity of a body, in terms...Ch. 21 - A thin rod is initially coincident with the Z axis...Ch. 21 - The top consists of a thin disk that has a weight...Ch. 21 - Prob. 66PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - Prob. 73PCh. 21 - Prob. 74PCh. 21 - Prob. 77P
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- Given that P = 50N, and the rod has mass = 0.370 kg with centroidal mass moment of inertia l = 37/19200 kg-m²:a. Which of the equations given in the second image can be used to solve for the angular acceleration of rod BD?b. What is the angular acceleration of rod BD?arrow_forward6 Given the system of points A,B,C with A(1,-1,1), B(2,0,2), C(-1,1,0) and masses m₁= 2,m₂=1,m3=4 respectively. Determine the moments and events inertia of the system with respect to the system of axes Oxyz. Then find the moments of inertia with respect to the primary axis system with origin O and to define the addresses of these axes.arrow_forwardA disk of moment of inertia I about the symmetry axis is spinning at the constant angular velocity Ω as shown in figure. If the entire system is mounted on a vehicle which travels with velocity ? in the direction of the shaft and the vehicle makes a turn of radius R, what are the bearing reactionsarrow_forward
- By joining two equal cones, the similar shaped object has a side length u cm and = 90⁰. The mass of this object with respect to the ysymmetry axis is kgm2 until its moment of inertia? (Ρ = 2700kg / m3) the volume of a cone is (1/3) πR2h and its mass moment of inertia = (3/10) mR2 with respect to its axis of metrics. u = 46arrow_forwardShow using analytical methods how the mass moment of inertia changes for a uniform rod by changing the axis about which it rotates. Z Figure 1 - Uniform Rod Q1 dr Larrow_forwardThe top is in steady precession with nutation angle 0 = 15° and precession rate $= 1 revolution per second. The mass of the top is 8 x 10* slugs, its center of mass is I in. from the point, and its moments of inertia are Ixx = 6 x 106 slug-ft and Iz= 2 x 10 slug-ft. What is the spin rate of the top in revolutions per second? -Yarrow_forward
- Match the most appropriate form of the equation for the moment of inertia to the image shown. All objects are rotating about point O. Note: ris distance, m is a mass, k is a radius of gyration and d is a distance from the mass moment of inertia IG about the center of mass A. D. O M X Mass element Z Rotation axis X A.1=1+md² G B. = SM √² r²dm C.I=mk²_ D.1= Σm,r?arrow_forward2. Determine the number of degrees of freedom necessary for the analysis of the system shown in the figure below. 0.1L 0.4L+ 0.3LS-+ 0.2L 2k G 2k Slender rod of mass m m2 moment of inertia Iarrow_forwardTwo thin hoops of masses m1 and m2 have radii a1 and a2, respectively. They are mounted rigidly on a frame of negligible mass. Find the systems moment of inertia about an axis through the center and perpendicular to the page. How large a torque must be applied to the system to give it an angular acceleration α about this axis, provided it is free to turn? Repeat tor the axis AA’.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_forwardFor the body shown. If point P3 is the center of mass for rod part P1-P2, and point P4 is the center of mass for rod part P3-P5, and P6 is the center of mass of the disk part. Find the mass moment of inertia around axis perpendicular to the page and passes through point P5. Given; L = 1 m, mass density of rod parts = 5 kg / m, mass density of disk = 12 Kg / m?arrow_forwardA car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car The combined moment of inertia of the rotating masses is 10 kg-m².what is the magnitude of the gyroscopic moment in (N-m)?arrow_forward
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