Introduction to Rotation Energy
A thin uniform rigid rod AC is shown in Fig (a). It has mass M and length L = 30 cm, is pivoted at point A, and initially held at rest in a horizontal position. It can rotate about a horizontal axis perpendicular to the rod passing through A.
Another thin, uniform rigid rod XY of mass M and length is shown in Fig (b). It is pivoted at point B and initially held at rest in a horizontal position. It can rotate about a horizontal axis perpendicular to the rod passing through B. Point B is at a distance of from the end X of the rod. Assume g = 10 m/s2.
Which of the rod has the maximum angular velocity?
A uniform ring of mass 5 kg is pivoted at a point A on its circumference and can rotate in a vertical plane about a horizontal axis passing through A. The radius of the ring is 2m and initially it was released from rest with its center at the same horizontal level as A. Find the maximum angular velocity attained by the ring. Assume g = 10 m/s2