Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- Steiner’s theorem and gyration radius. A metal tank wheel in the shape of a disc of radius R is lightened by cutting out six identical through- holes in the shape of discs, whose axes are parallel to the wheel’s axis of rotation, and whose radii are all r. The holes’ centers are positioned at the vertices of a regular hexagon of side A, with the wheel’s axis passing through the center of the hexagon. By what percentage is the wheel’s moment of inertia decreased around its rotation axis, as a result of the cut outs, for r=R/5 and A=3R/4. Is the solution: 27.95% (using negative mass for cutouts and parallel axis theorem)?arrow_forward12. please help with center of mass problemarrow_forwardFind the required value of the corresponding blanks: 1. Moments of Inerta with respect to x-axis __ in^4 2. Radius of Gyration with respect to x-axis __ in Note: Round-off your answers into two decimal placesarrow_forward
- 5. Dak Prescott has a mass of 107 kg and is 25 years old. Calculate the total moment of inertia for his arm, considering his shoulder to be the axis of rotation, when he is getting ready to throw a touchdown pass. The football has a mass of 0.45kg. You can add the mass of the football to the mass of his hand. Segment Length (cm) Mass (%) COM Location (%) W M W M W M Upper Arm 27.51 28.17 2.55 2.71 57.54 57.72 Forearm 26.43 26.89 1.38 1.62 45.59 45.74 Hand 7.80 8.62 0.56 0.61 74.74 79.00 Thigh 36.85 42.22 14.78 14.16 36.12 40.95 Shank 43.23 43.40 4.81 4.33 44.16 44.59 Foot 22.83 25.81 1.29 1.37 40.14 44.15 Segment Mass k2 I Upper arm Forearm Hand Total I MacBook Proarrow_forwardand ple Find the moment of inertia about the z-axis for a constant density 1 circular cone with base radius 9 and height 7, placed so the axis of symmetry is on the z-axis, after a cylindrical hole of radius 5 is drilled through the axis of symmetry. Z Question Help: Message instructor D Post to forum Submit Questionarrow_forwardSolve the moment of inertia of a point mass that weighs 0.5 kg and has a radius of 5.12 m. The point mass is in UCM.arrow_forward
- Steiner’s theorem and gyration radius. A metal tank wheel in the shape of a disc of radius R is lightened by cutting out six identical through- holes in the shape of discs, whose axes are parallel to the wheel’s axis of rotation, and whose radii are all r. The holes’ centers are positioned at the vertices of a regular hexagon of side A, with the wheel’s axis passing through the center of the hexagon. By what percentage is the wheel’s moment of inertia decreased around its rotation axis, as a result of the cut outs, for r=R/5 and A=3R/5? Is the solution: 18.24% (using negative mass for cutouts and parallel axis theorem)?arrow_forwardblem\#9 : Locate the centroid of the composite area shown. Then calculate the moment of inertia about the axes passing through the center of gravity (that is the centroidal moment of inertia. Ixc and I Yc ) .arrow_forwardA wheel and axle has a mechanical advantage of 20. Calculate the diameter of the wheel if the axle diameter is 5cm.arrow_forward
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