Rankers Physics

Friction: Practice Problem & Solution

Which one of the following statements is incorrect? (2018)
Frictionless force opposes the relative motion.
Limiting value of static friction is directly proportional to normal reaction.
Rolling friction is smaller than sliding friction.
Coefficient of sliding friction has dimensions of length.

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Friction. Understanding the underlying formula is key to arriving at the correct answer below:

Friction force always opposes relative motion. Limiting static friction \( \text{f}_{\text{s,max}} \) is proportional to normal reaction \( \text{N} \), so \( \text{f}_{\text{s,max}} = \mu_{\text{s}}\text{N} \). Rolling friction is generally much smaller than sliding friction. The coefficient of friction \( \mu \) is a ratio of forces (friction force to normal force), thus it is a dimensionless quantity. Therefore, option (d) is incorrect.

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