A uniform rod AB of mass 3m and length 2a has a point mass

Last updated: 7/10/2022

A uniform rod AB of mass 3m and length 2a has a point mass 2m attached at B. The rod is free to rotate in vertical plane about a smooth horizontal axis passing through point A. An impulse of J = m √21 ag is given at B perpendicular to rod as shown. Which of the following statements is/are correct? Moment of inertia of whole assembly about the axis through point A is 12ma² Distance of centre of mass of the system from point A is a 7/6a The rod turns an angle of 60° before coming to instantaneous rest for first time The rod completes full circle in vertical plane