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Question Number 74678 by necxxx last updated on 28/Nov/19

A 5kg block rests on a 30° incline.The  coefficient of static friction between  the block and incline is 0.20.How large  a horizontal force must push on the  block if the block is to be on the verge of  sliding (a)up the incline (b) down the  incline?

$${A}\:\mathrm{5}{kg}\:{block}\:{rests}\:{on}\:{a}\:\mathrm{30}°\:{incline}.{The} \\ $$$${coefficient}\:{of}\:{static}\:{friction}\:{between} \\ $$$${the}\:{block}\:{and}\:{incline}\:{is}\:\mathrm{0}.\mathrm{20}.{How}\:{large} \\ $$$${a}\:{horizontal}\:{force}\:{must}\:{push}\:{on}\:{the} \\ $$$${block}\:{if}\:{the}\:{block}\:{is}\:{to}\:{be}\:{on}\:{the}\:{verge}\:{of} \\ $$$${sliding}\:\left({a}\right){up}\:{the}\:{incline}\:\left({b}\right)\:{down}\:{the} \\ $$$${incline}? \\ $$

Answered by Rio Michael last updated on 29/Nov/19

a) 36.7N  b) 3.7N

$$\left.{a}\right)\:\mathrm{36}.\mathrm{7}{N} \\ $$$$\left.{b}\right)\:\mathrm{3}.\mathrm{7}{N} \\ $$

Commented by necxxx last updated on 29/Nov/19

no sir. The answers are 43N and 16.6N

$${no}\:{sir}.\:{The}\:{answers}\:{are}\:\mathrm{43}{N}\:{and}\:\mathrm{16}.\mathrm{6}{N} \\ $$

Commented by Rio Michael last updated on 29/Nov/19

yes your right, i mad a mistake in my   computatation and took g=10ms^(−2)

$${yes}\:{your}\:{right},\:{i}\:{mad}\:{a}\:{mistake}\:{in}\:{my}\: \\ $$$${computatation}\:{and}\:{took}\:{g}=\mathrm{10}{ms}^{−\mathrm{2}} \\ $$

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