System of Particles and Rotational Motion

A cylinder is rolling down on an inclined plane of inclination 60 . Its acceleration during rolling down will be x 3 m/s2, where x= (use g=10 m/s2).

A body of mass 5 kg moving with a uniform speed 3 2 ms-1 in X-Y plane along the line y=x+4. The angular momentum of the particle about the origin will be kg m2 s-1.

Four particles each of mass 1 kg are placed at four corners of a square of side 2 m. Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is kg m2. [figure]

A heavy iron bar of weight 12 kg is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle 60 with the horizontal, the weight experienced by the man is :

1. 3 kg
2. 6 kg
3. 6 3 kg
4. 12 kg

A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is 7x, where x is .