Question

Statement I: The max value of force F such that the block shown does not move is $\frac{\mu mg}{cos\theta }$ where $\mu$ is the coefficient of friction between block end surface.
Statement II: Frictional Force = (Coefficient of friction) x (Normal reaction)

• A. Statement 1 is True, Statement 2 is True; Statement 2 is a correct explanation for Statement 1
• B. Statement 1 is True, Statement 2 is True; Statement 2 is NOT a correct explanation for Statement 1
• C. Statement 1 is True, Statement 2 is False
• D. Statement 1 is False, Statement 2 is True

Answer 1

The correct option is D Statement 1 is False, Statement 2 is True

The max value of force F such that the block shown does not move is:

$Fcos\theta =\mu (mg+Fsin\theta )$

$F=\frac{\mu mg}{(cos\theta -\mu sin\theta )}$

So, the statement 1 is false.

The frictional force is proportional to the normal reaction.

So, Frictional Force = (Coefficient of friction) x (Normal reaction)