Calculating velocity/acceleration from sway of an object.

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Homework Help Overview

The problem involves a train accelerating from rest, causing hanging handles to sway at an angle of 32 degrees from vertical. The objective is to determine the time it takes for the train to travel 300 meters.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of a Free Body Diagram to analyze the forces acting on the handles and the relationship between gravitational acceleration and the train's horizontal acceleration based on the angle of sway.

Discussion Status

Some participants are exploring the relationship between the angle of sway and the horizontal acceleration, with one suggesting a trigonometric relationship involving the tangent function. There is an acknowledgment of the reasoning presented, but no consensus has been reached.

Contextual Notes

Participants are working under the constraints of the problem statement and are considering the implications of the angle of sway in relation to the forces involved.

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Homework Statement


A train accelerates from rest causing the handles that hang from the roof to sway 32 degrees from vertical. How long will it take the train to travel 300metres.


Homework Equations





The Attempt at a Solution


All I know is that the horizontal component of the force vector on the handle would be used to find acceleration.
 
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Did you draw a Free Body Diagram for a typical handle? What is the relationship between the acceleration due to gravity and the horizontal acceleration of the train in terms of the hang angle?
 
Thanks for the reply.

Would it be tan32=?/g
With ? being the acceleration of the x component.
 
That sounds reasonable.
 

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