Period of Pendulum in Accel. Elevator

[ilovephysicssomuch]

A simple pendulum is 5.00m long. (a) What is the period of small oscilliations for this pendulum if it is located in an elevator accelerating upward at 5.00 m/s^2? (b) what is its period if the elevator is accelerating downward at 5.00 m/s^2?

 

[Dale]

What id the period for an arbitrary acceleration g?

-Dale

 

[qtp]

the pendulum's period is just the normal period of the pendulum with
$$g$$ modified by the different accelerations
i.e.
$$\tau = 2 \pi \sqrt{\frac{L}{g}}$$
goes to
$$\tau = 2\pi \sqrt{\frac{L}{g+a_1}}$$
and
$$\tau = 2\pi \sqrt{\frac{L}{g-a_1}}$$

 

[qtp]

hmm
why didn't the latex get processed?

nm $$does not equal [ tex ]$$

 

[ilovephysicssomuch]

Thank you

Thank you for helping me, can i add you as a buddy?