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4-1.Newton's Laws of Motion
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A particle is situated at the origin of a coordinate system. The following forces begin to act on the particle simultaneously (Assuming particle is initially at rest)
${\vec F_1} = 5\hat i - 5\hat j + 5\hat k$ ${\vec F_2} = 2\hat i + 8\hat j + 6\hat k$
${\vec F_3} = - 6\hat i + 4\hat j - 7\hat k$ ${\vec F_4} = - \hat i - 3\hat j - 2\hat k$
Then the particle will move
Ain $X-Y$ plane
B$Y-Z$ plane
Cin $Z-X$ plane
Dalong $X-axis$
Solution
$\overrightarrow{\mathrm{F}}_{\mathrm{net}}=\overrightarrow{\mathrm{F}}_{1}+\overrightarrow{\mathrm{F}}_{2}+\overrightarrow{\mathrm{F}}_{3}+\overrightarrow{\mathrm{F}}_{4}$
$\Rightarrow 0\hat i+4\hat j+2\hat k$
$\Rightarrow \mathrm{d}_{x}=0$ but $\mathrm{d}_{y} \neq 0 \& \mathrm{d}_{z} \neq 0$
$\Rightarrow 0\hat i+4\hat j+2\hat k$
$\Rightarrow \mathrm{d}_{x}=0$ but $\mathrm{d}_{y} \neq 0 \& \mathrm{d}_{z} \neq 0$
Standard 11
Physics
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