Home
Class 12
PHYSICS
The angular momentum of a particle about...

The angular momentum of a particle about origin is varying as L =4t+8(SI units) whern its moves along a straight line y=x-4(x,y in metres). The magnitude of force acting on the particle will be

Text Solution

Verified by Experts

The correct Answer is:
1.41
L=4t + 8
Torque about the origin, `tau =(dL)/(dt) = 4N-m`,
`tau = r_(1)F , 4= r_(1)F`, where, `r_(1)` is the perpendicular distance of origin from a line:
`r_(1) =|(0-0-4)/(sqrt(1^(2) + 1^(2)))|=2sqrt(2)`
Force is acting along the straight line
`x-y-4=0`, `F=sqrt(2N) = 1.41 N`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Kinetic energy of a particle moving in a straight line is proportional to the time t. The magnitude of the force acting on the particle is :

Kinetic energy of a particle moving in a straight line varies with time t as K = 4t^(2) . The force acting on the particle

A particle of mass 80 units is moving with a uniform speed v=4 sqrt 2 units in XY plane, along a line y=x+5 . The magnitude of the angular momentum of the particle about the origin is

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

The kinetic energy K of a particle moving along x - axis varies with its position (x) as shown in figure The magnitude of force acting on particle at x = 9 mis

A particle of mass m=5 kg is moving with a uniform speed v=3 sqrt(2) in the XOY plane along the line Y=X+4 . The magnitude of the angular momentum of the particle about the origin is

The kinetic energy K of a particle moving along x - axis varies its position (x) as shown in figure. The magnitude of force acting on particle at x = 9m is