Calculate Tension in 5m String Attached to 4kg Bob

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Homework Help Overview

The problem involves calculating the tension in a string attached to a bob moving in horizontal circles. The bob has a mass of 4 kg and the string length is 5 m, with the radius of the circular motion being 0.6 m.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the calculation of the angle α using trigonometric functions and question the correctness of the original poster's approach. There are attempts to clarify the relationship between the angle and the tension formula.

Discussion Status

There is an ongoing examination of the calculations related to the angle and the tension. Some participants provide corrections and alternative calculations, while others seek confirmation of their own results. The discussion reflects a collaborative effort to verify the mathematical reasoning involved.

Contextual Notes

Participants are working within the constraints of homework guidelines, focusing on the correctness of their calculations without providing direct solutions.

John78
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Homework Statement



Calculate the tension in a 5 m string attached to a 4 kg bob that is moving in horizontal circles of 0.6 m radius.


Homework Equations





The Attempt at a Solution



α= tan-1 0.6/5
= 7 degree

T cos α = m*g

T= m*g/cosα

T=4*9.8/0.12

T=326.6 N



I just want to check whether my working is correct or not.
 
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Your equations are almost correct, however, if the angle α is 7 degrees, then cos α = cos 7 = ? But your calc for that angle is not right. It is not the tan function per your attempt...
 
so am I right in my calculations

α= sin 0.6/5
= 7 degree = 0.121869343

T cos α = m*g

T= m*g/cosα

T=4*9.8/0.121869343

T=321.65N
 
John78 said:
so am I right in my calculations

α= sin^-1 0.6/5 = sin^-1 0.12
α = 6.9 degrees[/color]

T cos α = m*g

T= m*g/cosα
yes
T=4*9.8/0.121869343
No, the cosine of 6.9 degrees is not 0.121869343
 
cos 6.9 = 0.992757341

Am I right?
 
John78 said:
cos 6.9 = 0.992757341

Am I right?
yes, so T = ?
 

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