Figure 1. Figure I shows a solid sphere, centre ) and radius 2r, which is fixcd on a horizontal plane, A particle P, of mass m, is released from rest at a point B on the surface of the sphere so that it slides dewn the enih 3r above O. 21 outside surlice of the sphere. The poiat B on the sphere is at a height After time 1, angle AOP-8. (a) Find in terms of m, g and cose, the reaction of' the sphere on P at time . (b) Show that P leavce the surface of the sphere at the point C which is at a heighi rulvwe O. (c) Find the speed ofP at the point C.

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Chapter1: Units, Trigonometry. And Vectors
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6.
Figure 1.
Figure I shows a solid sphere, centre ) and radius 2r, which is fixcd on a horizontal plane. A particle P, of
mass m, is released from rest at a point B on the surface of the sphere so that it slides dewn the emonih
3r
above O.
2.
outside surlace of the sphere. The point B on the sphero is at a height
After time , aele AOP - e.
(a)
Find in terms of m, g and cose, the reaction of the sphere on P at timc i.
(b)
Show that P leavcs the surface of the sphere at the point C which is at a height rulvoe O.
(c)
Find the speed of P at the point C.
(d)
Find the time taken from the instant when P leaves C to the instami when P lands on the fixed plane
Transcribed Image Text:6. Figure 1. Figure I shows a solid sphere, centre ) and radius 2r, which is fixcd on a horizontal plane. A particle P, of mass m, is released from rest at a point B on the surface of the sphere so that it slides dewn the emonih 3r above O. 2. outside surlace of the sphere. The point B on the sphero is at a height After time , aele AOP - e. (a) Find in terms of m, g and cose, the reaction of the sphere on P at timc i. (b) Show that P leavcs the surface of the sphere at the point C which is at a height rulvoe O. (c) Find the speed of P at the point C. (d) Find the time taken from the instant when P leaves C to the instami when P lands on the fixed plane
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