*21-76. The football has a mass of 450 g and radii of gyrationabout its axis of symmetry (z axis) and its transverse axes (x ory axis) of k. = 30 mm and k, = ky = 50 mm, respectively. Ifthe football has an angular momentum of H, = 0.02 kg m/s,determine its precession o and spin i. Also, find the angle ßthat the angular velocity vector makes with the z axis.HG = 0.02 kg - m²/s45°A

The mass of football is m=450 g. The radius of the gyration of football about the z-axis is kz=30…

Answered: *21-76. The football has a mass of 450…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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At the instant shown, the uniform slender rod with mass m = 35 kg is pin-supported at point O. It is subjected to a counterclockwise moment M = 66 N•m, has a counterclockwise angular velocity of W= 5.1 rad/s, and the dimensions a = 0.19 m and b = 0.58 m. Determine angular acceleration of the rod (in rad/s2) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Negative sign must be included if the angular acceleration is clockwise. Take g = 9.81 m/s2. O. · M Your Answer: Answer
THE WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER, G, OF 0.3 METERS. AT THE INSTANT SHOWN IT IS ROTATING AT 6 RAD/SIN A CLOCKWISE DIRECTION. FIND THE FORCES BETWEEN AT THE PIVOT POINT C. Please include a Free Body Diagram
At the instant shown, the uniform slender rod with mass m = 31 kg is pin-supported at point O. It is subjected to a counterclockwise moment M = 68 N•m, has a counterclockwise angular velocity of W= 5.3 rad/s, and the dimensions a = 0.10 m and b = 0.65 m. Determine magnitude of the support reaction at point O at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s2. a M
The 14.6-lb lever OA with 9.6-in. radius of gyration about O is initially at rest in the vertical position (0 = 90°) where the attached spring of stiffness k = 4.3 lb/in. is unstretched. Calculate the constant moment M applied to the lever through its shaft at O which will give the lever an angular velocity w = 5.9 rad/sec as the lever reaches the horizontal position = 0. k= 4.3 lb/in. 13.6"- M G 6 7.6" 13.6"
stion 5 The 20-kg wheel has a radius of gyration ko = 400 mm where O is the center of the wheel. If the wheel is subjected to a moment, M = (2t) N.m, where t is in seconds, determine its angular velocity when t- 4s starting from rest. Assume the wheel is subjected to rotation only (no translation). OA 16.0 rad/s B. 10.0 rads oc 8.0 rad/s 0 5.0 rad/s
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*21-40. Derive the scalar form of the rotational equation of motion about the x axis if N + w and the moments and products of inertia of the body are not constant with respect to time.
Example: 18-63. The uniform 80-lb garage door is guided at its ends on the track. If it is released from rest at 0 = 0º, determine the door's angular velocity at the instant = 30°. The spring is originally stretched 1 ft when the door is held open, 0 = 0°. Assume the door can be treated as a thin plate, and there is a spring and pulley system on each of the two sides of the door. Solution: 8 ft A 8 ft B k = 9 lb/ft
Please answer all
The strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of a = 55° shown in the figure. Find the tension forces at the strings AB and AC. B 500g 400 mm 400 mm

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