Q.

A particle is given an initial speed u inside a smooth spherical shell of radius R so that it is just able to complete the circle. Acceleration of the particle, when the particle is at p is

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a

10g

b

g

c

2g

d

6g

answer is A.

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Detailed Solution

velocity at the lowest point u must be 5gr  From conservation of energy, velocity at P:  12mu2= 12mv2+mgr⇒v=3grTotal acceleration at that point at2+ar2 =(g sin900)2+v2r2 =g2+(3g)2=10g
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