As per given figure to complete the circular loop what should be the radius if initial height is 5m

Question

As per given figure to complete the circular loop what should be the radius if initial height is 5m <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-iat53r2mhe87t9ru.jpg" /> (A) 4m (B) 3m (C) 2.5m (D) 2m

Tardigrade Admin · Accepted Answer

To complete the full circle, the minimum velocity at the bottom should be

v = 5 R g

where

R

is the radius of circle.
Using mechanical energy conservation,

m g h = \frac{1}{2} m v^{2}

h = \frac{1}{2} \frac{v ^{2}}{g} = \frac{5 R g}{2 g} = \frac{5}{2} R

R = \frac{2}{5} \times h = \frac{2}{5} \times 5 = 2 m e t re

Q. As per given figure to complete the circular loop what should be the radius if initial height is $5 m$

$4 m$

$3 m$

$2.5 m$

$2 m$

Q. As per given figure to complete the circular loop what should be the radius if initial height is 5m

4m

3m

2.5m

2m

To complete the full circle, the minimum velocity at the bottom should be v=5Rg​ where R is the radius of circle. Using mechanical energy conservation, mgh=21​mv2 h=21​gv2​=2g5Rg​=25​R R=52​×h=52​×5=2metre

Q. As per given figure to complete the circular loop what should be the radius if initial height is $5 m$

$4 m$

$3 m$

$2.5 m$

$2 m$