What Is the Plane's Acceleration Based on Pendulum Shift?

AI Thread Summary
To determine the plane's acceleration based on the pendulum's shift, the problem involves a pendulum with a known length and mass that shifts position as the plane accelerates. The key is to analyze the forces acting on the pendulum using a free body diagram. By applying Newton's second law to both the vertical and horizontal components of the pendulum's motion, the acceleration can be calculated. The equilibrium position shift indicates that the plane is accelerating uniformly. Understanding these principles will lead to the solution of the problem.
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Homework Statement


A pendulum has a length L = 1.04 m, with mass m=0.43 kg at the end. It hangs straight down in a jet plane about to take off as shown by the dotted line in the figure. The jet then accelerates uniformly, and while the plane is accelerating, the equilibrium position of the pendulum shifts to the position shown by the solid line, with D = 0.380 m. Calculate the magnitude of the plane's acceleration.
physics.gif


Homework Equations



F=ma

The Attempt at a Solution



I really don't know where to start with this problem.. I drew a free body diagram for the pendulum weight and didnt know what to do next


Thanks for anyone who can help :)
 
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First identify all the forces acting on the mass. (If you've drawn your free body diagram, you've got that step done.) Now apply Newton's 2nd law to both vertical and horizontal components.
 
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