Two identical unifrom rods `OA` and `OB` each of length `l` and mass `m` are connected to each other by a massless pin connection (both the rods can rotate about `O` which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass `m` moving with speed `u` perpendicular to the `AB` and hit the assembly inelastically at points `A` and `B` as shown in the figure.

Find the angular speed of rods just after the collision

Two identical unifrom rods OA and OB each of length l and mass m are connected to each other by a massless pin connection (both the rods can rotate about O which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass m moving with speed u perpendicular to the AB and hit the assembly inelastically at points A and B as shown in the figure. The speed of the centre of mass of the whole assembly just after the collision will be

Two identical unifrom rods OA and OB each of length l and mass m are connected to each other by a massless pin connection (both the rods can rotate about O which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass m moving with speed u perpendicular to the AB and hit the assembly inelastically at points A and B as shown in the figure. The speed of the centre of mass of the whole assembly just after the collision will be

Two identical unifrom rods OA and OB each of length l and mass m are connected to each other by a massless pin connection (both the rods can rotate about O which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass m moving with speed u perpendicular to the AB and hit the assembly inelastically at points A and B as shown in the figure. Find the speed of centre of rod AO just after the collision.

Two identical unifrom rods OA and OB each of length l and mass m are connected to each other by a massless pin connection (both the rods can rotate about O which is free to move), that allows free rotation. The assembly is kept on a frictionless horizontal plane. Now two point masses each of mass m moving with speed u perpendicular to the AB and hit the assembly inelastically at points A and B as shown in the figure. Find the speed of centre of rod AO just after the collision.

Two identical rods each of mass m and length are connected as shown. Locate c.m.

Two identical rods each of mass m and length are connected as shown. Locate c.m.

A rod of mass M and length L is kept on a frictionless horizontal floor. A particle of mass m moving perpendicular to the rod with a speed v strikes at the end of the rod and sticks there. Calculate angular velocity acquired by the combined system.

A uniform rod of mass M and length L lies on a frictionless horizontal plane. A particle of same mass M moving with speed v_(0) perpendicular to the length of the rod strikes the end of the rod and sticks to it. Find the velocity of the center of mass and the angular velocity about the center of mass of (rod + particle) system.

A ball of mass m moving with a speed u_(0) collides elastically with a rod of mass M suspended in the vertical plane by the hinge O. The rod is free to rotate in the vertical plane. Before and after the collision.