Tension and Weight of Ball (Mg)

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SUMMARY

The discussion focuses on analyzing the tension in a cable supporting a wrecking ball of mass M, comparing it to the weight of the ball (Mg). Participants concluded that the tension can be greater than, less than, or equal to the weight depending on the ball's motion and acceleration. Key insights include the distinction between static equilibrium and dynamic scenarios, where the net force may be zero while the object is in motion. The analysis of various diagrams illustrates how the ball's velocity and acceleration influence the tension in the cable.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static and dynamic equilibrium concepts
  • Familiarity with free body diagrams
  • Basic principles of tension in cables
NEXT STEPS
  • Study the principles of static and dynamic equilibrium in physics
  • Learn how to analyze free body diagrams for various forces
  • Explore the concept of tension in different contexts, such as pulleys and inclined planes
  • Investigate the effects of acceleration on tension and weight relationships
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of forces acting on suspended objects, particularly in the context of tension and weight analysis.

mparsons06
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Homework Statement



A wrecking ball of mass M is suspended by a thin cable (of negligible mass). The ball's position is recorded by a flash camera three times at intervals of 95 ms. For each of the sequences illustrated below, the tension remains constant. Indicate whether the tension in the cable, T, is Greater than, Less than, or Equal to the weight of the ball, Mg, or whether one Cannot tell.


2. The attempt at a solution

I don't even know how to decipher what the pictures mean.

But I did try:

1. Greater than
Equal to
Greater than
Cannot tell
Equal to
Equal to
Cannot tell
Equal to
Less than
 

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So we start off with two different forces in opposing direction and we have to compare them. There can be an equilibrium of forces with a net force of zero but with constant velocity. (Diagram 5 and 8)

And there can be static equilibrium where the net force is zero and the box is not moving. (Diagram 2)

Everything else we have to look at the position of the box from one image to another to determine the change in velocity.
Just because a box is moving up doesn't mean it has a net acceleration upwards. For example, in Diagram 3 the box is moving up but it is slowing down and therefore has a net acceleration downward (so the downward force is greater than the tension).

I'm not sure about Diagrams 9. It doesn't make sense.
 

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