For a body moving in a circular path,what is | vedclass

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(A) For a body to move in a circular path without skidding,the required centripetal force must be provided by the static frictional force.Let $m$ be t

Vedclass · Accepted Answer

$\frac{mv^2}{r} \le \mu mg$

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(A) For a body to move in a circular path without skidding,the required centripetal force must be provided by the static frictional force.Let $m$ be the mass of the body,$v$ be the velocity,$r$ be the radius of the path,and $\mu$ be the coefficient of friction.The required centripetal force is $F_c = \frac{mv^2}{r}$.The maximum available frictional force is $f_{max} = \mu N = \mu mg$.For no skidding,the centripetal force must not exceed the maximum static friction:$\frac{mv^2}{r} \le \mu mg$.

For a body moving in a circular path,what is the condition for no skidding if $\mu$ is the coefficient of friction?

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