challenge in mechanics again!!!

A flat board of length l and mass mo is moving with a velocity vo from left to right on a smooth horizontal surface. The right edge of the board now comes under a stationary sand-dropper which drops sand on the board at a mass rate (dm/dt) of μ. What is the velocity of the board when the left edge clears off from below the sand-dropper? Assume that there is enough friction between the sand particles & the flat board.

I would to have as many solutions to this problem as there are infinitely many solutions to a problem.All the best for this problem and to achieve infinitely many solutions for this problem as well as other please reshare it.

#Mechanics #Challenge

Easy Math Editor

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Comments

(vo)e^(-(Lu)/(movo))

Ramlakhan Choudhary - 6 years, 4 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}`	$\boxed{123}$