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4-1.Newton's Laws of Motion
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A man of mass $60\ kg$ is standing on a platform of mass $40\ kg$ as shown in figure then what force man should apply on rope so that he accelerate up with the platform with acceleration of $2\ m/s^2$ ............ $N$

A
$300$
B
$400$
C
$500$
D
$600$
Solution
$\text { on } \operatorname{man} \mathrm{T}+\mathrm{N}-60 \mathrm{g}=60 \times 2$ $…(1)$
on platform
$\mathrm{R}^{\prime}-\mathrm{N}-40 \mathrm{g}=40 \times 2$
$R^{\prime}=2 T$
$\therefore \quad 2 \mathrm{T}-\mathrm{N}-40 \mathrm{g}=40 \times 2$ $…(2)$
solve $( 1)$$\&(2)$ to find $\mathrm{T} \& \mathrm{N}$
Standard 11
Physics