Question 58: Motion in 2D & Vectors

Question

The resultant of these forces $$\overrightarrow {OP} ,\overrightarrow {OQ} ,\overrightarrow {OR} ,\overrightarrow {OS} $$ and $$\overrightarrow {OT} $$ is approximately .......... N. [Take $$\sqrt 3  = 1.7$$, $$\sqrt 2  = 1.4$$ Given $$\widehat i$$ and $$\widehat j$$ unit vectors along x, y axis]

Accepted Answer

$$\overrightarrow {{F_x}}  = \left( {10 	imes {{\sqrt 3 } \over 2} + 20\left( {{1 \over 2}} ight) + 20\left( {{1 \over {\sqrt 2 }}} ight) - 15\left( {{1 \over {\sqrt 2 }}} ight) - 15\left( {{{\sqrt 3 } \over 2}} ight)} ight)\widehat i$$
$$ = 9.25\widehat i$$
$$\overrightarrow {{F_y}}  = \left( {15\left( {{1 \over 2}} ight) + 20\left( {{{\sqrt 3 } \over 2}} ight) + 10\left( {{1 \over 2}} ight) - 15\left( {{1 \over {\sqrt 2 }}} ight) - 20\left( {{1 \over {\sqrt 2 }}} ight)} ight)\widehat j$$
$$ = 5\widehat j$$

Answer

$$9.25\widehat i + 5\widehat j$$

Answer

$$3\widehat i + 15\widehat j$$

Answer

$$2.5\widehat i - 14.5\widehat j$$

Answer

$$ - 1.5\widehat i - 15.5\widehat j$$

Motion in 2D & Vectors

The resultant of these forces $\overrightarrow {OP} ,\overrightarrow {OQ} ,\overrightarrow {OR} ,\overrightarrow {OS} and \overrightarrow {OT} is approximately .......... N. [Take \sqrt 3 = 1.7, \sqrt 2 = 1.4 Given \widehat i and \widehat j$ unit vectors along x, y axis]

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