Question

A 102 kg storm trooper is tasked with building a more secure exhaust port on the Death Star. Assume the Death Star has the same gravity as earth. He is standing 2.50 meters on a 3.00 meter ladder that weight 22.0 kg. The coefficient of friction on the ground is u_s = 0.25. Find the maximum angle that ladder can without slipping. Lord Vader will not tolerate failure.

Answer 1

Given that,

mass of the storm trooper is, m=102 kg

ladder weight is, W=mg=22 kg

coefficient of friction,us=0.25

mgsin(theta)=usmgcos(theta)

tan(theta)=usm_lg/m_sg

theta=arctan(usm_l/m_s)

        =arctan(0.25*22 kg/102 kg*9.8 m/s2)

       =0.315 degrees