Train Acceleration Calculation: Spider on a Web Scenario

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To calculate the train's acceleration in the scenario where a spider hanging from a web moves 10 degrees as the train accelerates, one should start by drawing a free body diagram of the spider. The forces acting on the spider include its weight and the tension in the web. Applying Newton's laws, particularly the principles of pendulum motion, will help in determining the relationship between the angle of displacement and the acceleration of the train. The key is to analyze the forces and their components to derive the acceleration. Understanding these concepts will provide a general approach to solving the problem.
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Homework Statement



if given a scenario for example, a spider is hanging down from a thread of spider web on a train, and when the train moves the spider moved 10 dregees
how to find the acceleration for the train? pretend X is the weight of the spider

if you don't understand the question msg back and i can explain better, i just need a general idea of how to do it

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The Attempt at a Solution

 
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Draw a free body diagram of the spider and note all forces acting on the spider (its weight is one of them, what's the other(s))? Then apply Newton's laws.
 
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The spider is acting like a pendulum ;)
 
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