(b) A particle P is travelling in the positive direction of the x-axis with acceleration kv?, wherek is a positive constant and v its speed. At time t =0, it passes through the origin with speedgT and acceleration g. Show thatdvdxgT²Hence, obtain an expression for v in terms x, g and T. Prove that at timet,g7*in)Question 4:(a) (i) State the Principle of Moment (Varignon's Theorem).(ii) Prove that the moment of a couple is the same about any axis perpendicular to theplane of action of the couple.(b) A uniform rod Whose centre of gravity G divides it into the ratio AG : GB = a : b is inlimiting equilibrium at an angle a with the horizontal with its upper end B resting against asmooth peg and its lower end A attached to a light cord, which is fastened to a point C onthe same level as B. Prove that the angle B at which the cord is inclined to the horizontal isgiven by the equationa+btanß =btana + -cot aa

Answered: Image /qna-images/answer/443a6b8f-8175-4d98-ad53-9e481a2529b4.jpg

k is a positive constant and v its speed. At time t = 0, it passes through the origin with speed gT and acceleration g. Show that dv dx gT Hence, obtain an expression for v in terms x,g and T. Prove that at time t, x= gT*in()

k is a positive constant and v its speed. At time t = 0, it passes through the origin with speed gT and acceleration g. Show that dv dx gT Hence, obtain an expression for v in terms x,g and T. Prove that at time t, x= gT*in()

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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