Chapter 5, Problem 21Q

(a)

To determine

To find: The way the objects fall in on rotating cylindrical shell.

Explanation of Solution

Introduction:

The normal contact force depends upon the angular speed of rotation

The dropping object fallen by the astronaut would travel with continuous movement.

The speed until the object reaches the spinning cell's floor. From the astronauts' reference frame within the cylinder, the object tends to slip through a curve rather than straight down.

Conclusion:

The object will not fall at all in this type of cylindrical shell in space.

(b)

To determine

To find: The force experience on feet

Explanation of Solution

Introduction:

The normal reaction on feet will provide the centripetal acceleration for revolution.

The magnitude of the normal force that astronauts feel will depend on the radius of cylinder shell and speed of the rotating cylinder. In this case, normal force is equal to centripetal force that can be mathematical written as,

  $\begin{array}{cc}mg& =\frac{m{v}^2}{r}\\ g& =\frac{v^2}{r}\end{array}$

Therefore, normal force will feel just like on the earth surface.

Conclusion:

Therefore due to the rotation normal reaction creates between the feet and spaceship which makes a feel of gravity.

(c)

To determine

To find: The any other aspects of gravity .

Explanation of Solution

Introduction:

When the objects on the inner surface of the cylinder shell then normal force of the of the object

like astronauts is acting on the centripetal force. This centripetal force acts towards the center of

the cylinder shell. This centripetal force simulates normal force that astronauts feel on the earth surface.

In contrast to astronauts, the size of the earth is very large. Therefore, nothing in our heads and our feet can tell the difference in the gravitational force. The difference in simulated gravity at various distances from the axis of rotation in the rotating spacecraft cylinder would be important, probably causing other adverse effects.

Conclusion:

Therefore, normal parabolic paths that experience on the earth will not occur in the rotating cylinder.