Two blocks of mass M₁ and M₂ are connected with a string which passes over a smooth pulley. The mass $M_1$ is placed on a rough inclined plane as shown in fig. The coefficient of friction between the

block and the inclined plane is µ. What should be the maximum mass M₂ so that block M₁ slides downwards ?

• A

  ${\mathrm{M}}_2={\mathrm{M}}_1(\sin \mathrm{\theta }+\mathrm{\mu cos}\mathrm{\theta })$

• B

  ${\mathrm{M}}_2={\mathrm{M}}_1(\sin \mathrm{\theta }-\mathrm{\mu cos}\mathrm{\theta })$

• C

  ${\mathrm{M}}_2=\frac{{\mathrm{M}}_1}{\left(\sin \mathrm{\theta }+\mathrm{\mu cos}{\mathrm{\theta }}^{\mathrm{\prime }}\right)}$

• D

  ${\mathrm{M}}_2=\frac{{\mathrm{M}}_1}{(\sin \mathrm{\theta }-\mathrm{\mu cos}\mathrm{\theta })}$