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Question

A particle of mass m is allowed to oscillate on a smooth parabolic wire x2=4ay(a>1), lying in the vertical plane as shown in the figure. Find the time period of small oscillation.
1425456_95d4e50161114e70a171c046cda87ae7.png
  1. 2πag
  2. 2π2ag
  3. 2πa2g
  4. 2π4ag

A
2π4ag
B
2πag
C
2π2ag
D
2πa2g
Solution
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1425456_95d4e50161114e70a171c046cda87ae7.png
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