Q. Following forces start acting on a particle at rest at the origin of the co-ordinate system simultaneously ${\overrightarrow{F}}_{1} = 5\widehat{i} - 5\widehat{j} + 5\widehat{k},\ \ \ F_{2} = 2\widehat{i} + 8\widehat{j} + 6\widehat{k},$ $F_{3} = - 6\widehat{i} + 4\widehat{j} - 7\widehat{k},$ $F_{4} = - \widehat{i} - 3\widehat{j} - 2\widehat{k}.$ The particle will move
A) in $x - y$ plane
B) in $y - z$ plane
C) in $x - z$ plane
D) along $x$-axis
Explanation
(b) ${\overrightarrow{F}}_{1} + {\overrightarrow{F}}_{2} + {\overrightarrow{F}}_{3} + {\overrightarrow{F}}_{4} = \left( 5\widehat{i} - 5\widehat{j} + 5\widehat{k} \right) + (2\widehat{i} + 8\widehat{j} + 6\widehat{k})$
$+ ( - 6\widehat{i} + 4\widehat{j} - 7\widehat{k})$+($- \ \widehat{i} - 3\widehat{j} - 2\widehat{k}$)
$= 4\widehat{i} + 2\widehat{k}$
This fore is in $y - z$ plane. Therefore, particle will move in $y - z$ plane.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.