Question

The minimum value of acceleration of wedge for which the block starts sliding on the wedge, is:

• A. $g\left(\frac{\cos \theta+\mu \sin \theta}{\sin \theta-\mu \cos \theta}\right)$
• B. $g\left(\frac{\sin \theta+\mu \cos \theta}{\cos \theta-\mu \sin \theta}\right)$
• C. $g\left(\frac{\sin \theta-\mu \cos \theta}{\sin \theta+\mu \cos \theta}\right)$
• D. $g\left(\frac{\cos \theta-\mu \sin \theta}{\sin \theta+\mu \cos \theta}\right)$

Answer 1

Answer: (B)

Block will start sliding if $m a \cos \theta \geq m g \sin \theta+\mu(m g \cos \theta+m a\sin \theta)$
get $a >g\left(\frac{\sin \theta+\mu \cos \theta}{\cos \theta-\mu \sin \theta}\right)$