(Solved): please show all steps. Required information The electric motor exerts a \( 500-\mathrm{N} \cdot \mat ...

Required information The electric motor exerts a \( 500-\mathrm{N} \cdot \mathrm{m} \) torque on the aluminum shaft \( A B C D \) when it is rotating at a constant speed. The torques exerted on pulleys \( B \) and \( C \) are as shown. Take \( a=1.6 \mathrm{~m}, b=0.7 \mathrm{~m} \), and \( G=27 \mathrm{GPa} \). NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the angle of twist between \( B \) and \( D \). The angle of twist between \( B \) and \( D \) is