Question

A particle is moving along line y = 4x with a
speed 10 m/s. If the mass of the particle is
2 kg then its angular momentum about the
point (1,4) is​

Answer 1

Answer:

A particle having mass 2 kg is moving along straight line 3x+4y=5 with speed 8 m/s. Find angular momentum of the particle about origin. x and y are in meters

Answer 2

The angular momentum at the point (1,4) is​ 0.

Step-by-step procedure

Given:

The particle moves along the line; y = 4x

Speed of the particle; v= 10 m/s

Mass of the particle; m= 2 Kg

To find = angular momentum

Solution:

The angular momentum of a particle is given by:

Angular momentum;L= m× v × r

Since the momentum needs to be found for the point( 1,4);

Thus, putting the values x= 1 and y= 4 in the line equation:

4= 4× 1

4=4

Thus, the point is at a distance of 0 from the line y= 4x

So, distance of the particle; r= 0 cm

Putting the values in the equation for angular momentum:

L= 2× 10 × 0

L= 0

Result:

Thus the angular momentum at the point (1,4) is​ 0.

(#SPJ3)