Question

( \mathbf{e}_{theta} ) be defined in the usual way. A particle of mass ( m ) is attracted towards the origin by a force of magnitude [ m omegaeft(frac{a}{r³

rright) ] where

Answer 1

The force on the particle is given by F = mωa/r^3, where m is the mass, ω is the angular velocity, a is the acceleration, and r is the radial distance from the origin. This force attracts the particle towards the origin and becomes stronger as the particle gets closer to the origin.

Step-by-step explanation:

The force on the particle described by the equation is given by:

F = mωa/r^3

where:

• m is the mass of the particle
• ω is the angular velocity
• a is the acceleration
• r is the radial distance from the origin

This equation represents a force that attracts the particle towards the origin. The force is inversely proportional to the cube of the radial distance, which means that the force becomes stronger as the particle gets closer to the origin.