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Question: Answered & Verified by Expert
A frictionless track $A B C D E$ ends in a circular loop of radius $R$. A body slides down the track from point $A$ which is at $a$ height $h=5 \mathrm{~cm}$. Maximum value of $R$ for the body to successfully complete the loop is

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Options:
  • A $5 \mathrm{~cm}$
  • B $\frac{15}{4} \mathrm{~cm}$
  • C $\frac{10}{3} \mathrm{~cm}$
  • D $2 \mathrm{~cm}$
Solution:
2089 Upvotes Verified Answer
The correct answer is: $2 \mathrm{~cm}$
Condition for vertical looping $\quad h=\frac{5}{2} r=5 \mathrm{~cm} \quad \therefore r=2 \mathrm{~cm}$

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