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

Question

As per given figure to complete the circular loop what should be its radius, if initial height is 5m? (A) 4 m (B) 3 m (C) 2.5 m (D) 2 m

Tardigrade Admin · Accepted Answer

The velocity of body at bottom of inclined plane v=√2gh=√10g Velocity at minimum point for revolves on circular path will be √5gR ∴ √5gR=√10g ⇒ R=2 text m

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

4 m

3 m

2.5 m

2 m

The velocity of body at bottom of inclined plane
$v = 2 g h = 10 g$
Velocity at minimum point for revolves on circular path will be
$5 g R$
$∴$ $5 g R = 10 g$
$\Rightarrow$ $R = 2 m$

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

4 m

3 m

2.5 m

2 m

The velocity of body at bottom of inclined plane v=2gh​=10g​ Velocity at minimum point for revolves on circular path will be 5gR​ ∴ 5gR​=10g​ ⇒ R=2m

The velocity of body at bottom of inclined plane
$v = 2 g h = 10 g$
Velocity at minimum point for revolves on circular path will be
$5 g R$
$∴$ $5 g R = 10 g$
$\Rightarrow$ $R = 2 m$