A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to

3D/2

D

5D/4

7D/5

Solution

5D/4

As track is frictionless, so total mechanical energy will remain constant,

$i . e ., 0 + m g h = \frac{1}{2} m v_{L}^{2} + 0 u \sin g v^{2} - u^{2} = 2 g h, h = \frac{v_{L}^{2}}{2 g} (∵ u = 0) F o r c o m p l e t i n g t h e v e r t i c a l c i r c l e V_{L} \geq \sqrt{5 g R} o r, h = \frac{5 g R}{2 g} = \frac{5}{2} R = \frac{5}{4} D$

Some More Questions From Laws of Motion Chapter

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Laws Of Motion

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to

3D/2

D

5D/4

7D/5

Some More Questions From Laws of Motion Chapter

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Which law of motion is the real law of motion?

Which law of motion gives the quantitative definition of force?

Why do we pull the rope in downward direction for climbing up?

What can set the body at rest into motion?

What do you mean by mechanically isolated system?

What are absolute units of force?

What are gravitational units of force?

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Laws Of Motion

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to 3D/2 D 5D/4 7D/5

Some More Questions From Laws of Motion Chapter

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Which law of motion is the real law of motion?

Which law of motion gives the quantitative definition of force?

Why do we pull the rope in downward direction for climbing up?

What can set the body at rest into motion?

What do you mean by mechanically isolated system?

What are absolute units of force?

What are gravitational units of force?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D. The height h is equal to

3D/2

D

5D/4

7D/5