The two-dimensional motion of particle B is defined by the relations r =t3-2t2 and θ = t3...

The two-dimensional motion of particle B is defined by the relations r =t3-2t2 and θ = t3 - 4t, where r is expressed in m, t in seconds, and θ in radians. Knowing that the particle has a mass of 0.25 kg and moves in a horizontal plane, calculate and plot the radial and transverse components and magnitude of the force acting on the particle as functions of t from 0 to 1.5 s.