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Question Number 24371 by Tinkutara last updated on 16/Nov/17

Two blocks are moving together under  the action of a constant horizontal  external force F. If the smaller block is  at rest with respect to the bigger block  due to the friction between them, then  the normal reaction between the bigger  block and floor is

$$\mathrm{Two}\:\mathrm{blocks}\:\mathrm{are}\:\mathrm{moving}\:\mathrm{together}\:\mathrm{under} \\ $$$$\mathrm{the}\:\mathrm{action}\:\mathrm{of}\:\mathrm{a}\:\mathrm{constant}\:\mathrm{horizontal} \\ $$$$\mathrm{external}\:\mathrm{force}\:{F}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{smaller}\:\mathrm{block}\:\mathrm{is} \\ $$$$\mathrm{at}\:\mathrm{rest}\:\mathrm{with}\:\mathrm{respect}\:\mathrm{to}\:\mathrm{the}\:\mathrm{bigger}\:\mathrm{block} \\ $$$$\mathrm{due}\:\mathrm{to}\:\mathrm{the}\:\mathrm{friction}\:\mathrm{between}\:\mathrm{them},\:\mathrm{then} \\ $$$$\mathrm{the}\:\mathrm{normal}\:\mathrm{reaction}\:\mathrm{between}\:\mathrm{the}\:\mathrm{bigger} \\ $$$$\mathrm{block}\:\mathrm{and}\:\mathrm{floor}\:\mathrm{is} \\ $$

Commented by Tinkutara last updated on 17/Nov/17

Thank you very much Sir!

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

Commented by Tinkutara last updated on 16/Nov/17

Commented by ajfour last updated on 16/Nov/17

Commented by ajfour last updated on 16/Nov/17

from balance of smaller block  along vertical:    f=mg  from balance of bigger block  along vertical:    R = mg+f  Hence  R = 2mg .

$${from}\:{balance}\:{of}\:{smaller}\:{block} \\ $$$${along}\:{vertical}: \\ $$$$\:\:{f}={mg} \\ $$$${from}\:{balance}\:{of}\:{bigger}\:{block} \\ $$$${along}\:{vertical}: \\ $$$$\:\:{R}\:=\:{mg}+{f} \\ $$$${Hence}\:\:{R}\:=\:\mathrm{2}{mg}\:. \\ $$

Commented by mrW1 last updated on 17/Nov/17

You are right sir!

$${You}\:{are}\:{right}\:{sir}! \\ $$

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