A pendulum is suspended from the roof of a rall road car. When the car is moving on a circular track the pandulum inclines:

Options

A. Forward
B. Backward
C. Towards the centre of the path
D. Away from the centre of the path

Explanation

To solve the problem of a pendulum suspended from a railroad car moving on a circular track, we need to analyze the forces acting on the pendulum and how they affect its position.

### Step-by-Step Solution:

1. **Understand the Setup**:
- A pendulum is hanging from the ceiling of a railroad car.
- The car is moving along a circular track.

2. **Identify the Forces Acting on the Pendulum**:
- The gravitational force (weight) acting downward, which is \( mg \) (where \( m \) is the mass of the pendulum bob and \( g \) is the acceleration due to gravity).
- The centripetal force required to keep the car moving in a circular path, which acts towards the center of the circular path.

3. **Consider the Motion of the Car**:
- As the car moves in a circular path, it experiences a centripetal acceleration directed towards the center of the circle.
- This means that the pendulum will not hang straight down; instead, it will be affected by the horizontal acceleration of the car.

4. **Analyze the Pendulum's Position**:
- The pendulum will experience a net force that is a combination of the gravitational force and the centripetal force acting towards the center of the circular path.
- The pendulum will therefore incline away from the vertical position, towards the outside of the circular path.

5. **Determine the Direction of Inclination**:
- Since the pendulum is experiencing a force that pulls it outward (due to the inertia of the pendulum bob as the car turns), it will incline away from the center of the circular path.
- Thus, the pendulum will be inclined outward, away from the center of the circular path.

6. **Conclusion**:
- The correct answer is that the pendulum inclines **away from the center of the path**.

### Final Answer:
The pendulum inclines away from the center of the path (Option D).

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