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Question

A particle is given an initial speed u inside a smooth spherical shell of radius R=1m that it is just able to complete the circle. Acceleration of the particle when its velocity is vertical is?
1100290_4b5f14f78f1f4f2a88fbfc48e0b8e459.png

A
g10
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B
g
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C
g2
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D
g6
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Solution

The correct option is A g10

Since the body is given just enough speed to complete the vertical circle

u2=5gR

v2=u22gR

=5gR2gR

=3gR

When the velocity is vertical, the body is acted by two acceleration

aT=g tangentially and centripetal acceleration

ac=v2R radially.

ac=v2R=3gRR

=3g

Total acceleration =a4T+a2c

=g2+3g2

=g10






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