The mass of the lift is 200 kg , when it ascends with an acceleration of $4 \mathrm{~m} / \mathrm{s}^2$ then…
The mass of the lift is 200 kg , when it ascends with an acceleration of $4 \mathrm{~m} / \mathrm{s}^2$ then the tension in the cable supporting the lift will be [Given: Acceleration due to gravity $\left.g=10 \mathrm{~m} / \mathrm{s}^2\right]$
800 N
2800 N
4200 N
2000 N
Solution
The equation of motion for the lift is:
$\begin{aligned}
& \mathrm{T}-\mathrm{ma}=\mathrm{mg} \\
& \mathrm{~T}=\mathrm{m}(\mathrm{~g}+\mathrm{a}) \\
& =200(10+4) \\
& \mathrm{T}=2800 \mathrm{~N}
\end{aligned}$