Two-blocks-A-and-B-each-of-mass-1-kg-are-placed-on-a-smooth-horizontal-surface-Two-horizontal-forces-5-N-and-10-N-are-applied-on-the-blocks-A-and-B-respectively-as-shown-in-figure-The-block-A-does-n

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Question Number 18963 by Tinkutara last updated on 02/Aug/17

$$\mathrm{Two}\mathrm{blocks}A\mathrm{and}B\mathrm{each}\mathrm{of}\mathrm{mass}1\mathrm{kg}$$$$\mathrm{are}\mathrm{placed}\mathrm{on}\mathrm{a}\mathrm{smooth}\mathrm{horizontal}$$$$\mathrm{surface}.\mathrm{Two}\mathrm{horizontal}\mathrm{forces}5\mathrm{N}\mathrm{and}$$$$10\mathrm{N}\mathrm{are}\mathrm{applied}\mathrm{on}\mathrm{the}\mathrm{blocks}A\mathrm{and}B$$$$\mathrm{respectively}\mathrm{as}\mathrm{shown}\mathrm{in}\mathrm{figure}.\mathrm{The}$$$$\mathrm{block}A\mathrm{does}\mathrm{not}\mathrm{slide}\mathrm{on}\mathrm{block}B.\mathrm{Then}$$$$\mathrm{the}\mathrm{normal}\mathrm{reaction}\mathrm{between}\mathrm{the}\mathrm{two}$$$$\mathrm{block}\mathrm{is}$$

Commented by Tinkutara last updated on 02/Aug/17

Commented by ajfour last updated on 02/Aug/17

Commented by ajfour last updated on 02/Aug/17

$${\mathrm{F}}_2-{\mathrm{F}}_1=2\mathrm{ma}$$$$\mathrm{and}{\mathrm{F}}_2-\mathrm{Nsin}\alpha =\mathrm{ma}$$$$\Rightarrow 2\mathrm{Nsin}\alpha ={2\mathrm{F}}_2-({\mathrm{F}}_2-{\mathrm{F}}_1)$$$$\mathrm{Nsin}\alpha =\frac{{\mathrm{F}}_1+{\mathrm{F}}_2}{2}$$$$\mathrm{for}\alpha =30°,{\mathrm{F}}_1=5\mathrm{N},{\mathrm{F}}_2=10\mathrm{N}$$$$\mathrm{Normal}\mathrm{force}\mathrm{N}=15\mathrm{newtons}$$

Commented by Tinkutara last updated on 02/Aug/17

$$\mathrm{Thank}\mathrm{you}\mathrm{very}\mathrm{much}\mathrm{ajfour}\mathrm{Sir}!$$

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