Angle of Bob in a Moving Train

In summary, a bob of mass m is suspended from the ceiling of a train moving with an acceleration g/√3. An observer sitting inside the train will observe an angle of 30 degrees with the vertical, taking the pseudo force into account. The same angle will be observed by an observer standing on the platform. If there is a protractor sticking down from the train's ceiling, both observers will agree with the rope's alignment, as the light either gets blocked or doesn't.
  • #1
erisedk
374
7

Homework Statement


A bob of mass m is suspended from the ceiling of a train moving with an acceleration g/√3
(a) If an observer is sitting inside the train, what angle with the vertical will he observe?
(b) If an observer is standing on the platform, what angle will he observe?

Homework Equations

The Attempt at a Solution


I know that the angle is 30 degrees (after taking the pseudo force into account), but I'm not sure if this is the answer for both parts or just (b)?
 
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  • #2
If there is a protractor sticking down from the train's ceiling, will the 2 observers agree with the rope's alignment?
 
  • #3
I don't know, that's the issue.
 
  • #4
One guy sees the rope in front of (obscuring) the 30° mark ... how could the other guy see a different number being blocked?
The light either gets blocked, or it doesn't.
 
  • #5
So they both see the same thing. Okay!
 

1. What is the angle of Bob in a moving train?

The angle of Bob in a moving train is the angle at which his body is inclined in relation to the horizontal plane of the train. This angle is influenced by factors such as the speed of the train, the direction of motion, and the position of Bob within the train.

2. How does the angle of Bob change as the train accelerates or decelerates?

As the train accelerates or decelerates, the angle of Bob will also change. This is because the force of acceleration or deceleration will cause Bob's body to lean forward or backward, altering the angle at which he is inclined.

3. What is the significance of the angle of Bob in a moving train?

The angle of Bob in a moving train is significant because it can affect his perception of the train's motion and his overall comfort. A larger angle may indicate a faster or more turbulent ride, while a smaller angle may suggest a smoother ride.

4. How does the angle of Bob differ in different types of trains?

The angle of Bob may differ in different types of trains due to variations in speed, size, and design. For example, a high-speed train may have a larger angle of Bob compared to a slower commuter train due to its faster acceleration and deceleration.

5. Is there a way to measure the angle of Bob in a moving train?

Yes, the angle of Bob in a moving train can be measured using a protractor or inclinometer. These tools can be used to determine the angle at which Bob's body is inclined in relation to the ground or the train's horizontal plane.

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