Calculating Simple Pendulum Oscillation in a Moving Vehicle

AI Thread Summary
The discussion focuses on calculating the period of a simple pendulum oscillating in a moving vehicle under acceleration. The formula for the new period T is given as T = 2π √(l/√(a² + g²)), where l is the length of the pendulum, a is the acceleration of the vehicle, and g is the acceleration due to gravity. Participants discuss the derivation of this formula, emphasizing the need to consider the effective gravitational force acting on the pendulum by combining the vehicle's acceleration with gravity using vector addition. A shared resource helps clarify the concept further. Overall, the thread provides insights into the physics of pendulum motion in non-static conditions.
Nima
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Simple pendulum has T = 2pi rt (l/g) when oscillating at a natural frequency of vibration. (Small angles of course)

Calc. new T of pendulum when oscillating in a car with acceleration a.

Any tips? Thanks. :)
 
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Can anyone do this question? Cheers.
 
T=2\pi \sqrt{\frac{l}{\sqrt(a^2+g^2)}}
 
Cheers Clive - Would you mind explaining (or any1 else) how you arrived at that answer? thanks.
 
Thanks very much, it certainly was! I understand that totally! You found the effective g acting on the pendulum by summing the individual accelerations acting on the pendulum, using vectors. Great. :)
 

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