Question

The position vector of a particle is directed along the positive y axis. What is the direction of the net force acting on the particle if the net torque is directed along the negative x direction?

a. Posivite z direction


b. Posivite x direction


c. negative x direction


d. negative y direction


e. negative z direction

Answer 1

(e) The direction of the net force is negative Z direction.

Step-by-step explanation:

Let the direction of the particle (positive y) represents direction of current

Let direction of the net torque (negative x) represents direction of the field

Let direction of net force be direction of force

Apply Fleming's right hand rule, which states that when the thumb, the middleave finger and forefinger are held mutually at right angle to each other, with the thumb pointing in the direction of current (particle, positive y ), and the forefinger pointing in the direction of the field (torque, negative x), then the middle finger will be pointing in the direction of the force.

To find direction of the net force:

Y direction is already represented, negative X direction is also represented and finally force will be in Z - direction

Since we know that torque = force x position of particle

Torque is negative, thus force will be negative.

Therefore, the direction of the net force is negative Z direction