A UHart Robotics program developed a robotic arm programmed to rotate and translate in the horizontal plane. The arm is gripping a 10-lbball. The location of the end of the

arm is defined by the relationships r=3\left(1-e^{-06 t}\right) \text { and } \theta=\left(\frac{2}{\pi}\right) \sin \left(\frac{\pi}{4} t\right) where r, 0, and t are expressed in feet, radians, and seconds, respectively. Determine the radial and transverse components of the force exerted on the ball at t = 3.5 s.