Answer
433.2k+ views
Hint: The force of the limiting friction is the product of the mass of the body/object and its acceleration. Whereas, the normal force is the product of the mass of the body/object and the gravitational constant. The coefficient of limiting friction is the ratio of acceleration to the gravitational constant.
Formula used:
\[\begin{align}
& {{F}_{L}}=ma \\
& N=mg \\
\end{align}\]
\[\mu =\dfrac{{{F}_{L}}}{N}\]
Complete answer:
The coefficient of limiting friction is given by,
\[\mu =\dfrac{{{F}_{L}}}{N}\]
Where \[{{F}_{L}}\]is the force of limiting friction and \[N\] is the normal force.
Thus, the coefficient of limiting friction between the surfaces of contact is the ratio of the limiting friction to the normal reaction.
\[{{F}_{L}}=ma\]
Where \[m\]is the mass of the object/body and \[a\] is the acceleration.
Thus, the force of limiting friction is the product of the mass of the body/object and its acceleration.
\[N=mg\]
Where \[m\]is the mass of the object/body and \[g\] is the gravitational constant.
Thus, the normal force is the product of the mass of the body/object and the gravitational constant.
Therefore, the coefficient of limiting friction between the surfaces of contact is the ratio of the limiting friction to the normal reaction.
Note:
The things to be on your figure tips for further information on solving these types of problems are:
There are different formulae to find the value of the coefficient of limiting friction. They are:
\[\mu =\dfrac{{{F}_{L}}}{N}\]and \[\mu =\tan \alpha \]
Use these formulae based on the given parameters.
Formula used:
\[\begin{align}
& {{F}_{L}}=ma \\
& N=mg \\
\end{align}\]
\[\mu =\dfrac{{{F}_{L}}}{N}\]
Complete answer:
The coefficient of limiting friction is given by,
\[\mu =\dfrac{{{F}_{L}}}{N}\]
Where \[{{F}_{L}}\]is the force of limiting friction and \[N\] is the normal force.
Thus, the coefficient of limiting friction between the surfaces of contact is the ratio of the limiting friction to the normal reaction.
\[{{F}_{L}}=ma\]
Where \[m\]is the mass of the object/body and \[a\] is the acceleration.
Thus, the force of limiting friction is the product of the mass of the body/object and its acceleration.
\[N=mg\]
Where \[m\]is the mass of the object/body and \[g\] is the gravitational constant.
Thus, the normal force is the product of the mass of the body/object and the gravitational constant.
Therefore, the coefficient of limiting friction between the surfaces of contact is the ratio of the limiting friction to the normal reaction.
Note:
The things to be on your figure tips for further information on solving these types of problems are:
There are different formulae to find the value of the coefficient of limiting friction. They are:
\[\mu =\dfrac{{{F}_{L}}}{N}\]and \[\mu =\tan \alpha \]
Use these formulae based on the given parameters.
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