The magnitude of torque on a particle of...

The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the orifgin.If the force acting it is 1 N, and the distance of the particle from the origin is 5 m, the angle between the force and the position vector is (in radians):

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(8)`

D

`(pi)/(3)`

Verified by Experts

The correct Answer is:

A

`vectau=vecrxxvecF`
`vectau=rFsintheta`
`2.5=5xx1xxsinthetaimpliestheta=30^(@)impliestheta=pi//6`.

Similar Questions

Explore conceptually related problems

A particle of mass 1 kg is moving alogn the line y=x+2 with speed 2m//sec . The magnitude of angular momentum of the particle about the origin is

If is the force acting on a particle having position vector and be the torque of this force about the origin, then-

In the given figure, find the force acting on a particle of mass 1 kg.

Find the torque about the origin when a force of 3 hatj N acts on a particle whose position vector is 2 hatk m