Rotational Dynamics of Rolling Motion Video Lessons

Concept

# Problem: 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 ?

###### FREE Expert Solution

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/s2

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###### Problem Details

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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