Give an example to show that the following statement is false. 'any two forces acting on a body can be combined into single force that would have same effect'.

Write the relation between angular momentum and rotational kinetic energy. Draw a graph for the same. For two objects of same angular momentum, compare the moment of inertia using the graph.

A force of \((4\hat{i}-3\hat{j}+5\hat{k})\) N is applied at a point whose position vector is \((7\hat{i}+4\hat{j}-2\hat{k})\) m. Find the torque of force about the origin.

A solid sphere of mass 20 kg and radius 0.25 m rotates about an axis passing through the center. What is the angular momentum if the angular velocity is 5 rad s^-1.

Can a body in translatory motion have angular momentum? Explain.