Friction in vertical circular motion

Consider the above figure, the question is what should be the minimum velocity to be given to the block so that it just reaches the top most point of the loop. And yes friction does exist. Coefficient of friction between the block and the circular loop is $\mu$ .

Can this problem be solved? If yes, please let me know.

I came up with this problem while solving a similar problem. I have no idea how to solve, u might

#Mechanics

Easy Math Editor

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Comments

click here for solution

Rohith M.Athreya - 4 years, 6 months ago

U can also solve it using only work energy theorem without polar coordinates, Solution.jpg

Sumanth R Hegde - 4 years, 6 months ago

its great that we finally got the same answer :)

Rohith M.Athreya - 4 years, 6 months ago

Yea :)

Sumanth R Hegde - 4 years, 6 months ago

@Sumanth R Hegde – slack

Rohith M.Athreya - 4 years, 6 months ago

Thx guys.. I initially thought it was impossible to solve... :)

Sparsh Sarode - 4 years, 6 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$