An interesting mechanics problem

Here is the problem Here is the solution

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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}`	$\boxed{123}$

Comments

@Karan Chatrath Thanks for guiding.

Talulah Riley - 8 months, 3 weeks ago

Try to think of a faster way to solve this problem. There is one.

Karan Chatrath - 8 months, 3 weeks ago

@Karan Chatrath is there any alternative method exist.?

Talulah Riley - 8 months, 3 weeks ago

@Talulah Riley – Euler-Lagrange? Idk... this problem actually seems pretty complicated. Haven't actually tried it out... but from what I think, a Newtonian approach wouldn't be very ideal.

Perhaps energy conservation? Try both approaches.

Krishna Karthik - 8 months, 3 weeks ago

@Krishna Karthik – @Krishna Karthik Karan sir said that “Try to think of a faster way to solve this problem. There is one.”
I don't think that energy conservation will help.
Hope Karan sir will give us useful insights.

Talulah Riley - 8 months, 3 weeks ago

@Talulah Riley – Yeah, true. It won't really work in terms of computing the normal force. Well.

Krishna Karthik - 8 months, 3 weeks ago

@Karan Chatrath I am not able to think faster than this method.
If there is any alternative, please share..
Thanks in advance

Talulah Riley - 8 months, 3 weeks 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}`	$\boxed{123}$