$8-45.$ The man has a mass of $60$ kg and the crate has a mass of $100$ kg $.$ If the coefficient of static friction between his shoes and the ground is ${}_s=0\mathrm{.}4$ and between the crate and the ground is ${}_c=0\mathrm{.}3,$ determine if the man is able to move the crate using the rope$-$andpulley system shown.

Problem $8-45$