*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 250 g disk shown spins at the rate w1 = 750 rpm, while axle AB rotates as shown with an angular velocity ω2 of 6 rad/s. Find the Kinetic energy of the disk with this information.
The 10kg rod has a moment of inertia which is computed from Iç =ml². If it is rotating at w = 2, determine its kinetic energy () when it is computed about the mass center G. u-irade
The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.
*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
The bus is driven from the flywheel having inertia J = 20 kgm2. How long distance can pass the bus from the energy stored in the flywheel if its angular velocity is ω = 1800 rad/s and the power needed for bus moving with speed v = 30 km/h is 60 kW?.

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