In this problem, we're going to use the formula:

$\overline{){\mathbf{\mu}}{\mathbf{g}}{\mathbf{=}}{{\mathbf{\omega}}}^{{\mathbf{2}}}{\mathbf{R}}}$, where μ is the coefficient of static friction between the bottom and the platform, ω is the angular speed, and R is the radius.

**a.**

We know that g = 9.81 m/s^{2}

A small button placed on a horizontal rotating platform with diameter 0.530 m will revolve with the platform when it is brought up to a speed of 41.0 rev/min , provided the button is no more than 0.240 m from the axis.

a. What is the coefficient of static friction between the button and the platform?

b. How far from the axis can the button be placed, without slipping, if the platform rotates at 61.0 rev/min ?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Rotational Dynamics of Rolling Motion concept. You can view video lessons to learn Rotational Dynamics of Rolling Motion. Or if you need more Rotational Dynamics of Rolling Motion practice, you can also practice Rotational Dynamics of Rolling Motion practice problems.