When deciding if a system exhibits rotational motion, one has to decide if rotational motion is even possible, and then decide if rotational motion is important. show answer No Attempt In which of the following systems is rotational motion about the center of mass of the system possible? Select all that apply. A massive rod floating in an infinite body of water. A spherical basketball acting under the force of gravity. A point-like object acting under gravity. Two point-like interacting objects. A sprinter.

Explanation:

A point like object moves under the influence of gravity will have linear motion.  So it is not necessary for the point like object moving under the gravity to have rotational motion.

Thus, for a point like object acting under the gravity, rotational motion is not possible, and it has got no importance of rotation motion.

A sprinter starts his race by first bending forward and then rise slowly to maintain his speed. In this scenario, the conservation of angular momentum plays an important role.

So, for a splinter, rotational motion is possible and is even important.

For a massive rod floating in an infinite body of water, rotation is possible. In general, the body in this case tend to move in downward direction. But if the water is flowing then there is a possibility for this object to rotation. Not only the water currents, the wind also cause the rod to rotate inits floating condition.

So, The rotation is possible for the rod floating in an infinite body of water.

In general, the force due to gravity assumed to act on the center of gravity of the object. In case of a spherical basketball, if it is falling or moving under the influence of gravity, it tend to move downwards towards the center of earth. In addition to its translation motion, it is possible for the ball to have the rotational motion.

So, the rotation is possible for the ball acting under the gravity.

For the two point like interacting objects, the rotation is possible. For example, a binary star system rotates about its center of mass.

So, for two point like interacting objects is possible.  

the answer would be 32*f