Question

Figure shows a block of mass $2m$ sliding on a block of mass $m$. Find the acceleration of each block. (All surface are smooth).

• A. $\frac{40}{3}m/s^2$
• B. $\frac{20}{3}m/s^2$
• C. $\frac{5}{3}m/s^2$
• D. $\frac{10}{3}m/s^2$

Answer 1

The correct option is C $\frac{5}{3}m/s^2$

When the body kept at inclined plane, one component of it weight provides acceleration.

$2mg\sin 30-mg\sin 30=(m+2m)a$

$a=\frac{g}{6}$

$a=\frac{5}{3}m{s}^{-2}$