First slide

Static friction

Question

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 µ . The acceleration α of the cart that will prevent the block from falling statisfies.

Moderate

A

$\large a > \frac{{mg}}{\mu }$
B

$\large a > \frac{g}{{\mu m}}$
C

$\large \alpha \geqslant \frac{g}{\mu }$
D

$\alpha < \frac{g}{\mu }$

Solution

n = ma
f_l = µN = µ ma
For eqilibrium ,
f_l ≥ mg
⇒ µma ≥ mg
⇒ a ≥ g /µ

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