can u give detail for calculation please, some calculations I stuck /2ga sin 0i.c.angular velocity, w =k + a²doAngular accelerationdtdodoOP2gadodt(2ga sin 0\-12 + a²(2ga sin 6'k² + a² /½= }.xcos 0 x12 + a²gа cos 0k² + a²`RC.F.ngb) When the plank has turned through an angle as in the above Figure, the forceacting along the plank is the sum of the centrifugal force and the com-ponent of the weight parallel to the plank.i.e.tangential force, F = mo²a + mg sin a2ga sin a= m.-a + mg sin a1:2 + a²1:2 + 3a?= mg sin a.k2 + a?The normal reaction, R, is given bydoRa = Idtmk2 ga cos a* 1:² + a²k* cos ai.e.R= mg1k² + a²mg sin aFk2 + 3a*k² + a²k2 + 3a?tan aRk2 cos amg7:2 + a² Figure Q7 shows a uniform plank, rests upon a horizontal bench with one end of the barprojecting over the sharp edge of the bench, the bar being at right angles to this edge. The plankis pulled out of horizontally until the centre of gravity overhangs the edge by a distance a, and isthen released. The plank rotates about the edge and then slides down.(a)Determine the angular velocity and angular acceleration of the plank after it hasturned through an angle O degrees assuming that no sliding has taken place.(b)If the sliding begins when the plank has tuned through an angle a, show that thecoefficient of friction, u , is[(k? + 3a?)------------- tan a.k?where k is the radius of gyration of the plank about its centre of gravity.aFigure Q7, A uniform plank resting upon a horizontal bench.Solution(a) When the plank has rotated through an angle 0,loss in P.E. = gain in K.E.m(k² + a²)w2|3Di.e.mga sin 0

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Engineering

Mechanical Engineering

can u give detail for calculation please, some calculations I stuck

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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