Force analysis of a spring-bob system

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SUMMARY

The discussion focuses on the dynamics of a spring-bob system, specifically the conditions for maximum elongation. Participants clarify that maximum elongation occurs when the forces acting on the bob—gravitational force, electrostatic force, and spring force—are balanced, resulting in a velocity of zero. The conversation emphasizes the importance of energy considerations over force alone, drawing parallels to projectile motion, where the net force is not zero at the peak height despite the velocity being zero.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with spring mechanics and Hooke's Law
  • Basic knowledge of gravitational and electrostatic forces
  • Concept of energy conservation in mechanical systems
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Homework Statement
A small bob of charge +Q and mass 5kg is suspended from a spring of force constant k=10^4N/m and is held at rest 50cm above an isolated point charge -Q fixed on the ground. The spring just stretched initially. When the bob is released, the naximun elongation of the spring is 10cm. Then Q=(25n)uc where n=?
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I dont need anyone to do the sum directly please. I just need some hints, please dont give me the solution.

Im unable to understand how the bob will hit a maximum elongation, there are two forces accelerating the bob:
Gravitational force and electrostatic force.
There is one force deaccelerating it :
Spring Force

A max elongation means a point where the forces are balanced and the velocity of the bob equals 0

Would there be a point in time where the spring force becomes more than the downward force?

because I believe thats whats needed to make the velocity equal to 0 and then eventually the velocity vector would point in the upward direction
 
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tellmesomething said:
Im unable to understand how the bob will hit a maximum elongation, there are two forces accelerating the bob:
Gravitational force and electrostatic force.
There is one force deaccelerating it :
Spring Force
Yes
tellmesomething said:
A max elongation means a point where the forces are balanced and the velocity of the bob equals 0
No. Think about the simple case of a ball thrown straight up in the air. At the highest point, v = 0. But, is the net force on the ball zero at this instant?

tellmesomething said:
Would there be a point in time where the spring force becomes more than the downward force?

because I believe thats whats needed to make the velocity equal to 0 and then eventually the velocity vector would point in the upward direction
Yes. That's right.

Hint: Energy rather than force is your friend here.
 
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TSny said:
Yes

No. Think about the simple case of a ball thrown straight up in the air. At the highest point, v = 0. But, is the net force on the ball zero at this instant?


Yes. That's right.

Hint: Energy rather than force is your friend here.
Okay got it. Thankyou :-)
 
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