Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Referring to Prob. 18.143, (a) prove that the Poinsot ellipsoid is tangent to the invariable plane, (b) show that the motion of the rigid body must be such that the Poinsot ellipsoid appears to roll on the invariable plane. [Hint: In part a, show that the normal to the Poinsot ellipsoid at the tip of w is parallel to HO. It is recalled that the direction of the normal to a surface of equation F (x,y,z), ) = constant at a point is the same as that of grad F at point P.J
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- A homogeneous disk of 5 cm radius and 5 kg mass rotates on an axle AB of length 0.25 m and rotates about a fixed point A. The disk is constrained to roll on a horizontal floor. A 0.25 m OA. 100 rad/s in the x direction and -20 rad/s in the z direction C Given that the disk rotates counterclockwise at a rate of 100 rad/s about axle AB, the angular velocity of the disk is (Hint: use the right hand rule to determine positive and negative direction.) OB. 100 rad/s in the x direction and +20 rad/s in the y direction OC. 100 rad/s in the x direction and -20 rad/s in the y direction B OD. 100 rad/s in the x direction and +20 rad/s in the z direction 5 cmarrow_forwardA disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly one third of the way from the center toward the rim. What is the ratio of the angular velocity wa to that of wB, and the tangential velocity VA to that of VB? (a) the angular velocity wA to that of B = WA = WB (b) the tangential velocity VÀ to that of VB VA VBarrow_forwardQ2. Two uniform disks of the same material are attached to a shaft as shown. Disk A has a weight of 10 lb and a radius r = 6 in. Disk B is twice as thick as disk A. Knowing that a couple M of magnitude 22 lb. ft is applied to disk A when the system is at rest, determine the radius nr of disk B if the angular velocity of the system is to be 480 rpm after 5 revolutions. A M b B 2barrow_forward
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