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Dynamics of Circular Motion

With what minimum speed v must a small ball should be pushed i

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With what minimum speed $v$ must a small ball should be pushed inside a smooth vertical tube from a height $h$ so that it may reach the top of the tube? Radius of the tube is $R$ .

Name: Video solution 1: With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h so that it may reach the top of the tube? Radius of the tube is R.
Uploaded: 2022-10-28T09:01:12.000Z
Duration: 16 min
Description: Video solution 1: With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h so that it may reach the top of the tube? Radius of the tube is R.

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Updated on: Mar 15, 2023

Book:

Mechanics Volume 1 (DC Pandey)

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With what minimum speed

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must a small ball should be pushed inside a smooth vertical tube from a height

h

so that it may reach the top of the tube? Radius of the tube is

R

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Text solutionVerified

v_{top} = v^{2} - 2 g (2 R - h)

To just complete the vertical circle

v_{top}

may be zero.

∴ or 0 = v^{2} - 2 g (2 R - h) v = 2 g (2 R - h)

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Question Text	With what minimum speed $v$ must a small ball should be pushed inside a smooth vertical tube from a height $h$ so that it may reach the top of the tube? Radius of the tube is $R$ .
Updated On	Mar 15, 2023
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	328
Avg. Video Duration	20 min

With what minimum speed $v$ must a small ball should be pushed inside a smooth vertical tube from a height $h$ so that it may reach the top of the tube? Radius of the tube is $R$ .

Text solutionVerified

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With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h so that it may reach the top of the tube? Radius of the tube is R.

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With what minimum speed $v$ must a small ball should be pushed inside a smooth vertical tube from a height $h$ so that it may reach the top of the tube? Radius of the tube is $R$ .