Pendulem in an Accelerting Plane

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The discussion centers on a pendulum in a jet plane accelerating uniformly, with a length of 1.14 m and an oscillation displacement of 0.42 m. The key question is determining the plane's acceleration based on the pendulum's behavior. Participants note that the problem involves vector addition, similar to how velocities are treated. The emphasis is placed on understanding that the angle of the equilibrium position is crucial for solving the problem. The conversation highlights the relationship between the pendulum's motion and the plane's acceleration.
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A pendulum has a length L = 1.14 m. It hangs straight down in a jet plane about to take off as shown by the dotted line in the figure. The jet accelerates uniformly, and during that time, the pendulum oscillates about the equilibrium position shown by the solid line, with D = 0.42 m. What is the acceleration of the plane?
 

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BrettL789123 said:
A pendulum has a length L = 1.14 m. It hangs straight down in a jet plane about to take off as shown by the dotted line in the figure. The jet accelerates uniformly, and during that time, the pendulum oscillates about the equilibrium position shown by the solid line, with D = 0.42 m. What is the acceleration of the plane?

HI BrettL789123! :smile:

(ignore the fact that it's a pendulum. … only the angle of the equilibrium position matters :smile:)

This is a vector addition problem.

I expect you're used to velocites adding like vectors.

Well, accelerations do also! :biggrin:
 

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