(ii) A particle moving on the inside smooth surface of a fixed spherical bowl of radius 2 m. It describes a horizontal circle at a distance m below the centre of the bowl. (a) Prove that the speed of the particle is 2V3 ms-. (b) Find the time taken by the particle to perform a complete revolution.

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Answer detailly 2(ii)

2. (i)
E
D
6a
CO
6a
C
ба
B
The uniform lamina shown above is in the form of a square ABDE of side 6a and an isosceles triangle
BCD of height 6a.
Find the distance of the centroid of the lamina from AE . If the lamina is folded such that the triangular
part lies on the square portion with the vertex C at the point F, where F is the midpoint of AE. Find the
distance of the centroid of the resulting lamina from AE.
(ii) A particle moving on the inside smooth surface of a fixed spherical bowl of radius 2 m. It describes a
horizontal circle at a distance m below the centre of the bowl.
(a) Prove that the speed of the particle is 2V3 ms-' .
(b) Find the time taken by the particle to perform a complete revolution.
on.co
(Take g as 10 ms2.)
Transcribed Image Text:2. (i) E D 6a CO 6a C ба B The uniform lamina shown above is in the form of a square ABDE of side 6a and an isosceles triangle BCD of height 6a. Find the distance of the centroid of the lamina from AE . If the lamina is folded such that the triangular part lies on the square portion with the vertex C at the point F, where F is the midpoint of AE. Find the distance of the centroid of the resulting lamina from AE. (ii) A particle moving on the inside smooth surface of a fixed spherical bowl of radius 2 m. It describes a horizontal circle at a distance m below the centre of the bowl. (a) Prove that the speed of the particle is 2V3 ms-' . (b) Find the time taken by the particle to perform a complete revolution. on.co (Take g as 10 ms2.)
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