Question:

When forces $F_1,F_2,F_3$ are acting on a particle of mass m such that $F_2$ and $ F_3 $ are mutually perpendicular, then the particle remains stationary, If the force $F_1$ is now removed Then acceleration of the particle is.

Updated On: Jul 7, 2022
  • $F_1/m$
  • $F_1F_3 / m\,F_1$
  • $(F_2-F_3)/m$
  • $F_2/m$
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The Correct Option is A

Solution and Explanation

Answer (a) $F_1/m$
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration