Show that the vectors a = 31 + 4j and b = 4i – 3j are perpendicular. A smooth sphere A of mass 2m moving on a smooth horizontal floor with velocity (10i +5j)ms" impinges obliquely on a smovth stationary sphere B of mass m. At the instant of collision the line joining the centres of the spheres is parallel to the vectora. Given that the coefficient of restitution between the two spheres is e and that the direction of motion of sphere A afterimpact makes an angle a with the line of centres of the spheres, show that (a) (4-2e) tan a = 3, (b) s tan a s (c) Given that tan asi, find e and hence find the velocitices of A and B after impact.

Show that the vectors a = 31 + 4j and b = 4i – 3j are perpendicular. A smooth sphere A of mass 2m moving on a smooth horizontal floor with velocity (10i +5j)ms" impinges obliquely on a smovth stationary sphere B of mass m. At the instant of collision the line joining the centres of the spheres is parallel to the vectora. Given that the coefficient of restitution between the two spheres is e and that the direction of motion of sphere A afterimpact makes an angle a with the line of centres of the spheres, show that (a) (4-2e) tan a = 3, (b) s tan a s (c) Given that tan asi, find e and hence find the velocitices of A and B after impact.

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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