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 $ma\cos \theta \ge mg\sin \theta +\mu (mg\cos \theta +ma\sin \theta )$
get $a>g\left(\frac{\sin \theta +\mu \cos \theta }{\cos \theta -\mu \sin \theta }\right)$