Determining Acceleration of Hinge in a Beam and Hinge Structure

AI Thread Summary
To determine the initial acceleration of the leftmost hinge in a beam and hinge structure with equal mass and length rods, it's essential to analyze the forces acting on each hinge as separate rigid bodies. The confusion arises from the assumption that the acceleration is uniform across the structure, which may not be the case due to the applied force at the right hinge. A clear approach involves establishing a coordinate system for the hinges and applying differentiation to understand the relationship between their movements. Seeking guidance on the principles of dynamics and hinge mechanics can clarify the problem-solving process. Understanding these concepts will aid in accurately calculating the acceleration of the hinges.
Carbon123
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Homework Statement


The following structure,A force F is applied to the right hinge.If the mass of the rods are equal ,and the length of the rod is equal,the intial angle is also equal to 90 degrees (a square),What is the intial acceleration of leftmost hinge ?

Homework Equations


Coordinate systems ,differentiation

The Attempt at a Solution


I am quite confused of where to start this problem.I think that stating the coordinates of the hinges,and then differentiating it to find the relation of acceleration.However, I keep getting that the acceleration is the same.Can someone please advise me some idea where to start ,and what principles are at work here.I have not got any idea (due to being inexperienced with problems with hinges like this).Thanks in Advance !
 

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Carbon123 said:
However, I keep getting that the acceleration is the same.
Please post your working (as required by forum rules).
Have you analysed the forces on one of the left hand members and one of the right hand members as separate rigid bodies?
 
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