Write down the components of four forces F-1-F-2-F-3- and F-1- along ox and oy directions as shown in the figure-

Along ox direction : F⃗_⃗1⃗x⃗ = F⃗_⃗1⃗ cos30 #160; =4× 0.866 #160;= 3.46 x̂ #160; #160; N F⃗_⃗2⃗x⃗ = F⃗_⃗2⃗ cos60 ...

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Standard IX

Physics

Balanced and Unbalanced Forces

Write down th...

Question

Write down the components of four forces $_{1},_{2},_{3}$ and $_{1}$ along ox and oy directions as shown in the figure.

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Solution

Along ox direction :
$_{1 x} =_{1}$ $c o s 30 = 4 \times 0.866 = 3.46$ $^x$ $N$
$_{2 x} = -_{2}$ $c o s 60 = - 4 \times 0.5 = - 2.0$ $^x$ $N$
$_{3 x} =_{3}$ $c o s 90 = 0$ $^x$ $N$
$_{4 x} =_{4}$ $c o s 0 = 4 \times 1 = 4$ $^x$ $N$

Along oy direction :
$_{1 y} =_{1}$ $s i n 30 = 4 \times 0.5 = 2$ $^y$ $N$
$_{2 y} =_{2}$ $s i n 60 = 4 \times 0.866 = 3.64$ $^y$ $N$
$_{3 y} = -_{3}$ $s i n 90 = - 6$ $^y$ $N$
$_{4 y} =_{4}$ $s i n 0 = 0$ $^y$ $N$

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Write down the components of four forces →F1,→F2,→F3 and →F1 along ox and oy directions as shown in the figure.

Write down the components of four forces $_{1},_{2},_{3}$ and $_{1}$ along ox and oy directions as shown in the figure.