A bead of mass 0.40 kg slides without friction on a stiff circular wire hoop of…
PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane
Problem
A bead of mass 0.40 kg slides without friction on a stiff circular wire hoop of radius 0.60 m that lies in a horizontal plane. At one instant the bead’s acceleration has magnitude 5.0 m s⁻² and is directed 37° ahead of the inward radial line (in the direction of motion along the hoop).
(a) Determine the bead’s instantaneous speed at that instant.
(b) Calculate the magnitude of the tangential component of the bead’s acceleration.
(c) Compute the magnitudes of the radial and tangential components of the net force acting on the bead.
(d) Assuming the tangential component of acceleration remains constant at the value found in part (b), determine the bead’s speed 2.0 s later.
(e) Discuss whether the angle between the net acceleration vector and the radial direction increases, decreases, or remains the same during those 2.0 s, and justify your answer quantitatively or qualitatively.