Imagine you have a simple pendulum hanging on the ceiling of a train which has a period called T. How will the period be in the following cases:

1. When the train is in circular motion in a curve of radius R with constant speed (I think it would be lower than T (the initial period), that's my intuition).
2. The train is going up a constant slope with constant speed (I also think it would be lower than T).
3. The train moves over a hill of radius R with constant speed. (I feel it would be greater than T because the pendulum just moves in step with the change of the slope. That's why the pendulum oscillates completely just when the train has left the hill).

Sorry for my poor explanations. I have just tried to figure it out the best way I could. What do you think? Do you agree with me?

Thanks