# Simple Pendulum & Elevator

1. Feb 3, 2009

### hansel13

1. The problem statement, all variables and given/known data
A simple Pendulum is suspended from the ceiling of an elevator. The elevator is accelerating upwards with acceleration a. The period of this pendulum, in terms of its length L, g, and a is:
2$$\pi$$*(L/a)^(1/2)
OR
2$$\pi$$*(L/(g+a))^(1/2)
OR
2$$\pi$$*(L/g)^(1/2)

2. Relevant equations
T = 2$$\pi$$*(L/g)^(1/2)

3. The attempt at a solution
Not sure where to start. It doesn't seem like there's really math involved here. I tried drawing a free body diagram, but that made things worse. I'm pretty sure it's the middle one, because the other 2 just don't make sense, because the formula needs to both a and g into account, right?

2. Feb 3, 2009

### Carid

Right.

"we [...] assume the complete physical equivalence of a gravitational field and a corresponding acceleration of the reference system." (Einstein 1907)

3. Feb 3, 2009

OK thanks