Question

All contact surface in the figure are smooth. If the wedge is moved towards right with acceleration $a_0$ then the normal force between the wedge and the block will be

• A. $mg\cos \theta$
• B. $mg\sin \theta$
• C. $m[g\sin \theta +a_0\cos \theta ]$
• D. $m[g\cos \theta +a_0\sin \theta ]$

Answer 1

The correct option is D $m[g\cos \theta +a_0\sin \theta ]$

$\Rightarrow$ In rest frame

$N=mg\cos \theta +m{a}_0\sin \theta$

$=m[g\cos \theta +a_0\sin \theta ]$