A uniform semicircular wire is hinged at ‘A’ so that it can rotate freely in vertical plane about a horizontal axis through ‘A’. The semicircle is released from rest when its diameter AB is horizontal Find the hinge force at ‘A’ immediately after the wire is released.

ABC is a triangular framwork of three uniform rods each of mass m and length 2l . It is free to rotate in its own plane about a smooth horizontal axis through A which is perpendicular to ABC. If it is released from rest when AB is horizontal and C is above AB. Find the maximum velocity of C in the subsequent motion.

ABC is a triangular framwork of three uniform rods each of mass m and length 2l . It is free to rotate in its own plane about a smooth horizontal axis through A which is perpendicular to ABC. If it is released from rest when AB is horizontal and C is above AB. Find the maximum velocity of C in the subsequent motion.

Three massless rods are fixed to form a right angled triangular frame such that AB=BC=1 . Two identical small objects of mass m are fixed at A and C . The frame is hinged about B such that the frame can rotate in vertical plane about an horizontal axis without friction. Initially AB is vertical and BC is horizontal and the system is released from rest. Tension in the rod AC when it (rod AC) becomes horizontal is

Three massless rods are fixed to form a right angled triangular frame such that AB=BC=1 . Two identical small objects of mass m are fixed at A and C . The frame is hinged about B such that the frame can rotate in vertical plane about an horizontal axis without friction. Initially AB is vertical and BC is horizontal and the system is released from rest. The magnitude of acceleration of mass A when the rod AC becomes horizontal is

Three massless rods are fixed to form a right angled triangular frame such that AB=BC=1 . Two identical small objects of mass m are fixed at A and C . The frame is hinged about B such that the frame can rotate in vertical plane about an horizontal axis without friction. Initially AB is vertical and BC is horizontal and the system is released from rest. Tension in the rod AC when it (rod AC) becomes horizontal is

Three massless rods are fixed to form a right angled triangular frame such that AB=BC=1 . Two identical small objects of mass m are fixed at A and C . The frame is hinged about B such that the frame can rotate in vertical plane about an horizontal axis without friction. Initially AB is vertical and BC is horizontal and the system is released from rest. The magnitude of acceleration of mass A when the rod AC becomes horizontal is

A thin uniform rigid rod of length L is hinged at one end so that it can move in a vertical plane by rotating about a horizontal axis through upper end. The lower end is given a sharp blow and made to acquire a linear velocity v_(o) . Find the maximum height to which the lower end can rise.

Three massless rods are fixed to form a right angled triangular frame such that AB=BC=1 . Two identical small objects of mass m are fixed at A and C . The frame is hinged about B such that the frame can rotate in vertical plane about an horizontal axis without friction. Initially AB is vertical and BC is horizontal and the system is released from rest. The maximum shift of centre of mass of two mass system from its initial position is