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kifflom [539]
2 years ago
8

A block is resting on a platform that is rotating at an angular speed of 2.4 rad/s. The coefficient of static friction between t

he block and the platform is 0.83. Determine the smallest distance from the axis at which the block can remain in place wothout skidding as the platform rotates.
Physics
1 answer:
Sloan [31]2 years ago
4 0

Answer:

r = 0m is the Minimum distance from the axis at which the block can remain in place wothout skidding.

Explanation:

From a sum of forces:

Ff = m*a   where Ff = μ * N    and a = \frac{V^2}{r}=\omega^2*r

N - m*g = 0   So, N = m*g.   Replacing everything on the original equation:

\mu*m*g = m*\omega^2*r   (eq2)

Solving for r:

r = \frac{\mu*g}{\omega^2}=1.41m

If we analyze eq2 you can conclude that as r grows, the friction has to grow (assuming that ω is constant), so the smallest distance would be 0 and the greatest 1.41m. Beyond that distance, μ has to be greater than 0.83.

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