Determining Acceleration of Hinge in a Beam and Hinge Structure

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SUMMARY

The discussion focuses on determining the initial acceleration of the leftmost hinge in a beam and hinge structure subjected to a force F applied at the right hinge. Participants emphasize the importance of analyzing the forces acting on each member as separate rigid bodies to establish the relationship between their accelerations. The confusion arises from the assumption that the accelerations are identical, which is incorrect. Proper application of coordinate systems and differentiation is crucial for solving this problem effectively.

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  • Knowledge of differentiation techniques
  • Basic principles of forces and accelerations in mechanical systems
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Students in physics or engineering disciplines, particularly those focusing on mechanics, as well as educators seeking to enhance their understanding of rigid body dynamics and hinge systems.

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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