A few conceptual problems with moments

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SUMMARY

The discussion focuses on the application of forces on a beam and their effects on moments and motion. It is established that applying a force at the center of gravity (point A) results in a moment without downward motion. Removing the fixed point A introduces ambiguity, as the resulting motion depends on the direction of the force applied. Additionally, it is confirmed that a force can induce both rotational and translational motion when applied at an angle.

PREREQUISITES
  • Understanding of basic mechanics principles, specifically moments and forces.
  • Familiarity with concepts of center of gravity and rotational motion.
  • Knowledge of Newton's laws of motion.
  • Basic comprehension of vector forces and their applications.
NEXT STEPS
  • Study the principles of static equilibrium in beams.
  • Learn about the relationship between force, moment, and torque in mechanical systems.
  • Explore the effects of varying force directions on motion and moments.
  • Investigate the dynamics of rigid body motion in physics.
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Students of physics, mechanical engineers, and anyone interested in understanding the dynamics of forces and moments in structural systems.

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Homework Statement


My questions are as follows:
(1) If I apply a force (B) on a beam with a center of gravity at the middle(A), it will JUST cause a moment, correct?
(2) If I remove this fixed point(A), and no gravity or any other forces are present, will it still JUST cause a moment or will it cause a shift?
(3)Can a force be applied on this beam to cause a moment & a movement?


Homework Equations



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The Attempt at a Solution



I think,
(1) It will just cause a moment, not a downwards motion
(2) It will either just cause an acceleration or just a moment
(3) If I move the force along an angle, it will cause both
 
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It depends on how you define 'moment'. From the way your questions are worded, it looks like you are defining 'moment' to be a rotational motion around the point A. (And that point A is moving with the beam, so point A is always at the centre of mass).

The questions are a bit vague. I'd say you've got question 1) correct, because if it is fixed at A, then the only motion must be rotation around A.

Question 2) could mean a lot of things. The initial change in motion is clear, but then after that, it depends what direction the force is in. Is it always downwards, or does its direction change so that it is perpendicular to the axis of the beam?

For question 3), you are right that both rotational and translational motion can be caused. But I'm not sure what you mean by 'move the force along an angle, it will cause both'. And why do you think it is necessary to alter the force to cause both types of motion?
 

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