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On the roof of a train travelling on horizontal rails, a simple pendulum swing. If the pendulum’s string is pointing towards the front, the train is-
- a)Moving at a steady speed
- b)Moving with acceleration
- c)Moving with retardation
- d)At rest
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
On the roof of a train travelling on horizontal rails, a simple pendul...
The correct answer is:
c) Moving with retardation.
Here’s why:
- If the pendulum's string points towards the front of the train, it suggests that the train is slowing down (decelerating or undergoing retardation). This happens because, due to inertia, the pendulum tends to keep moving forward even when the train is slowing down. As a result, the string appears to tilt towards the front of the train.
- If the train were accelerating, the pendulum would swing backward relative to the train, and its string would point toward the rear of the train.
Thus, the string pointing towards the front indicates that the train is moving with retardation (deceleration).
Most Upvoted Answer
On the roof of a train travelling on horizontal rails, a simple pendul...
Understanding the Pendulum's Behavior on a Train
When analyzing the behavior of a pendulum on a moving train, it is essential to understand the forces acting on the pendulum and how they relate to the train's motion.
1. Pendulum Orientation
- If the pendulum's string is pointing towards the front of the train, it indicates that the pendulum is experiencing a net force in that direction.
2. Acceleration and Forces
- A pendulum at rest or moving at a constant speed would have its string hanging vertically downwards, indicating no net horizontal forces acting on it.
- When the train accelerates, the pendulum swings backward relative to the train due to inertia. The bob will lag behind the vertical line, creating an angle where the string points toward the front.
3. Conclusion: Moving with Retardation
- If the pendulum’s string points forward, the train must be accelerating backward (decelerating) relative to the pendulum's inertia. Thus, it is indeed moving with retardation.
- The pendulum's swing indicates the relative motion of the train. Hence, with the string directed forward, it confirms the train is decelerating.
Final Insight
- The answer is 'C' - Moving with retardation, as the pendulum's position reveals the train's changing speed. Understanding force and motion principles clarifies this dynamic relationship.
When analyzing the behavior of a pendulum on a moving train, it is essential to understand the forces acting on the pendulum and how they relate to the train's motion.
1. Pendulum Orientation
- If the pendulum's string is pointing towards the front of the train, it indicates that the pendulum is experiencing a net force in that direction.
2. Acceleration and Forces
- A pendulum at rest or moving at a constant speed would have its string hanging vertically downwards, indicating no net horizontal forces acting on it.
- When the train accelerates, the pendulum swings backward relative to the train due to inertia. The bob will lag behind the vertical line, creating an angle where the string points toward the front.
3. Conclusion: Moving with Retardation
- If the pendulum’s string points forward, the train must be accelerating backward (decelerating) relative to the pendulum's inertia. Thus, it is indeed moving with retardation.
- The pendulum's swing indicates the relative motion of the train. Hence, with the string directed forward, it confirms the train is decelerating.
Final Insight
- The answer is 'C' - Moving with retardation, as the pendulum's position reveals the train's changing speed. Understanding force and motion principles clarifies this dynamic relationship.
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On the roof of a train travelling on horizontal rails, a simple pendulum swing. If the pendulum’s string is pointing towards the front, the train is-a)Moving at a steady speedb)Moving with accelerationc)Moving with retardationd)At restCorrect answer is option 'C'. Can you explain this answer?
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