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) F 1 = 5 i ^ − 5 j ^ + 5 k ^ ,

Question

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) F 1 ​ = 5 i ^ − 5 j ^ ​ + 5 k ^ , F 2 ​ = 2 i ^ + 8 j ^ ​ + 6 k ^ , F 3 ​ = − 6 i ^ + 4 j ^ ​ − 7 k ^ , F 4 ​ = − i ^ − 3 j ^ ​ − 2 k ^ Then the particle will move :

TestHub · Accepted Answer

Net force F = F 1 ​ + F 2 ​ + F 3 ​ + F 4 ​ = ( 5 + 2 − 6 − 1 ) i ^ + ( − 5 + 8 + 4 − 3 ) j ^ ​ + ( 5 + 6 − 7 − 2 ) k ^ = 0 i ^ + 4 j ^ ​ + 2 k ^ . The net force has no x -component, and the particle starts from rest, so it moves in the Y-Z plane.

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