When Does a Bob Attached to a String Become Slack?

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In summary, the rope attached to the bob becomes slack when the tension force is equal to zero. This happens when the angle of the rope is restricted to be below 90 degrees and the equation T - mg cos theta = m v^2/R is satisfied. The values of theta and v in this case will depend on the specific situation.
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atavistic
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When does a bob attached to a string become slack?When mgcos@ = mv^2/r?
 
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When doing what? You're going to have to provide a bit more information about what the bob on the string is doing?
 
  • #3
atavistic said:
When does a bob attached to a string become slack?When mgcos@ = mv^2/r?

It depends if you are restricting the angle to be below 90 degrees or if you may go above.
The equation (for theta smaller or equal to 90 degrees) is

T - mg cos theta = m v^2/R

The rope becomes slack if T=0.

what can you say about theta and v in that case?
 

1. What factors affect when a bob attached to a string becomes slack?

The main factors that affect when a bob attached to a string becomes slack are the length of the string, the weight of the bob, and the strength of the force pulling on the string. The longer the string, the heavier the bob, and the stronger the force, the sooner the bob will become slack.

2. How does gravity play a role in when a bob becomes slack?

Gravity is a major factor in determining when a bob will become slack. The force of gravity is constantly pulling on the bob, causing it to move downwards. This force must be counteracted by the tension in the string in order to keep the bob from becoming slack.

3. Is there a specific formula for determining when a bob attached to a string becomes slack?

Yes, there is a formula that can be used to determine when a bob attached to a string becomes slack. It is known as the "Equation of Motion" and takes into account the length of the string, the weight of the bob, and the strength of the force pulling on the string.

4. Can the material of the string affect when the bob becomes slack?

Yes, the material of the string can play a role in when the bob becomes slack. Different materials have different levels of strength and elasticity, which can impact the tension in the string and therefore affect when it becomes slack.

5. Are there any real-world applications for understanding when a bob attached to a string becomes slack?

Yes, understanding when a bob attached to a string becomes slack has many real-world applications. For example, it can help engineers design structures such as bridges or cranes, as they need to know how much weight a string or cable can support before becoming slack. It also has applications in sports such as rock climbing, where climbers need to know when their ropes will become slack and potentially cause them to fall.

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