(Solved): 2. The bucket is hoisted by the rope that wraps around a drun wheel. If the angular displacement of ...
2. The bucket is hoisted by the rope that wraps around a drun wheel. If the angular displacement of the wheel is \( \theta=\left(0.5 \mathrm{t}^{3}+20 \mathrm{t}\right) \) rad, where \( t \) is in seconds, determine the velocity and acceleration of the bucket when \( \mathrm{t}=5 \mathrm{~s} \).