cameroon gce A level June 2019 further mathematics 3

cameroon gce A level June 2019 further mathematics 3

cameroon gce A level June 2019 further mathematics 3

The coordinates of the point K. L and M are (3,0) ,( 9, 0) and (9. 9) respectively and
LOMN, where O is the origin, is a uniform square. Find the x-coordnate of the centre of the
centre of gravity of the lamina bounded by
KL, LM, MN and the arc NK of the curve y=9-x2.
ii) A particle moves at constant speed on the smooth inner surface of a fixed spherical bowl
of radius 2m. The particle describes a horizontal circle at a distance 6/5 m below the centre of
the bowl. Find the speed of the particle as it describes the horizontal circle.
(Take g as 10ms
2.)

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