A person spins a tennis ball on a string in a horizontal circle (so that the axis of rotation is vertical). At the point indicated below the ball is moving in the z direction (out of the page) and is given a sharp blow vertically downward (-y direction). In which direction does the axis of rotation tilt toward after the blow
a. x- direction
b. y- diraction
c. z- direction

Respuesta :

Answer:

direction does the axis of rotation tilt toward after the blow is the z- direction

Explanation:

This is because

Due to the blow, there is a impulse imparted on the ball which gives a change in linear momentum () in the x direction

Thus When cross product of momentum in x direction is taking with r vector, we will get resultant in z direction. Hence change in angular momentum will be z direction.

The direction in which the axis of rotation tilts toward after the blow is;

Option C; z-direction

Since the person spins the tennis ball on a string, it means that applied force F makes the ball go around the circle faster than it was previously. This and means that the angular momentum of the tennis ball will increase in magnitude but would not change direction.

Finally, according to flemmings right-hand rule, the angular velocity direction would be in the +z direction, and therefore the change in angular momentum which is the axis of rotation tilt toward after the blow must also be in the +z direction.

An image of the string in the horizontal circle has been attached.

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