Question

Consider a system of a small body of mass m kept on a large body of mass M placed over an inclined plane of angle of inclination θ to the horizontal. Find the acceleration of m when the system is set in motion. Assume inclined plane to be fixed. All the contact surfaces are smooth.

• A. g sin
• B.
• C.
• D.

Answer 1

The correct option is B

block M can only slide down the incline

$(Mg+N_1)sin\theta =Ma$ --------------(i)

$mg-N_1=mb$ ----------------------(ii)

Since this block has net force in vertical direction the body can only accelerate vertically

constraint

(iii) substituting in (ii)

mg - $N_1$ = m a sin $\theta$ and solving

$b=\frac{(M+m)gsin\theta }{M+msi{n}^2\theta }$