Q.
A block of mass $m$ is in contact with the cart $C$ as shown in the figure
The coefficient of static friction between the block and the cart is $\mu$. The acceleration $\alpha$ of the cart that will prevent the block from falling satisfies
A) $\alpha < \frac{g}{\mu}$
B) $\alpha > \frac{mg}{\mu}$
C) $\alpha > \frac{g}{\mu m}$
D) $\alpha \geq \frac{g}{\mu}$
Explanation
(d) [image:5_image180.emf]
Here $f = mg$ and $N = m\alpha$ but $f \leq \mu N$
So $mg \leq \mu m\alpha \Rightarrow \alpha \geq \frac{g}{\mu}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.