elevatorapparent weight

(Mid Term 1) A crane operator lowers a 16000N16000N steel ball with a downward acceleration of 3m/s23m/s^2. Find the tension force of the cable.

Solution

∑Fy=w−T=maT=w−ma=w−wg⋅a=16000−1600010⋅3=11200N\begin{aligned} \sum F_y &= w - T = ma\\ T &= w-ma = w-\frac{w}{g} \cdot a\\ &= 16000 - \frac{16000}{10} \cdot 3 = 11200N \end{aligned}