Question #106341

Pushing one body toward the inclined plane, which formed the angle α, at speed v. The body

Having reached its climax, it returned to its original position. Body and inclined plane

coefficient of friction between k. When the body returns to its original position

at what speed? What time will it take?

Having reached its climax, it returned to its original position. Body and inclined plane

coefficient of friction between k. When the body returns to its original position

at what speed? What time will it take?

Expert's answer

"l=\\frac{v^2}{2g(\\mu+\\sin \\alpha)}"

Then,

"u^2=v^2-4\\mu g\\frac{v^2}{2g(\\mu+\\sin \\alpha)}=v^2\\frac{1-2\\mu}{(\\mu+\\sin \\alpha)}"

"u=v\\sqrt{\\frac{1-2\\mu}{(\\mu+\\sin \\alpha)}}"

1)

"t=\\frac{v}{g(\\sin \\alpha+\\mu)}+\\frac{v}{g(\\sin \\alpha-\\mu)}\\sqrt{\\frac{1-2\\mu}{(\\mu+\\sin \\alpha)}}"

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