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# Problem: Mass m1 on a frictionless table is connected by a string through a hole in the table to a hanging mass m2.With what speed must m1 rotate in a circle of radius r if m2 is to remain hanging at rest?

###### FREE Expert Solution

Newton's second law:

$\overline{){\mathbf{\Sigma }}{\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

Centripetal acceleration:

$\overline{){{\mathbf{a}}}_{{\mathbf{c}}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{r}}}$

The tension in the string is the same.

Applying Newton's second law to the hanging mass:

ΣF = T - m2g = 0

T = m2g

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###### Problem Details
Mass m1 on a frictionless table is connected by a string through a hole in the table to a hanging mass m2.

With what speed must m1 rotate in a circle of radius r if m2 is to remain hanging at rest?

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