# Inclined scenario

A man of mass $$50 \ \text{kg}$$ stands on a block of mass $$5 \ \text{kg}$$ which rests on an inclined plane of inclination $${30}^\circ$$ and is connected to a light rope. This rope goes through 3 pulleys and lands back in the hands of the man as shown in the figure. If the coefficient of friction $$\mu$$ between the block and the surface is $$10.1$$, then find the maximum force with which the man can pull the rope downwards such that the block does not start sliding down the inclined plane.

Details and assumptions:-

• Assume that the rope and pulleys are massless.
• Take $$\text{g}$$ (acceleration due to gravity) as $$10 {\text{ m/sec}}^2$$.
• Neglect the air resistance.