A frictionless track 𝐴𝐡𝐢𝐷𝐸 ends in a circular loop of radius 𝑅. A body slides down the track from point 𝐴 which is it π‘Ž height β„Ž = 5 π‘π‘š. Maximum value of 𝑅 for the body to successfully complete the loop is

Question: A frictionless track 𝐴𝐡𝐢𝐷𝐸 ends in a circular loop of radius 𝑅. A body slides down the track from point 𝐴 which is it π‘Ž height β„Ž = 5 π‘π‘š. Maximum value of 𝑅 for the body to successfully complete the loop is

(A) 5 π‘π‘š

(B) \dfrac{15}{4} π‘π‘š

(C) \dfrac{15}{4} π‘π‘š

(D) 2 π‘π‘š

Answer: Option (D)

Solution:

A frictionless track 𝐴𝐡𝐢𝐷𝐸 ends in a circular loop of radius 𝑅. A body slides down the track from point 𝐴 which is it π‘Ž height β„Ž = 5 π‘π‘š. Maximum value of 𝑅 for the body to successfully complete the loop is
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