Finding Maximum Tension in a String

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SUMMARY

The maximum tension in a string supporting a 2 kg mass at an angle of 30 degrees to the vertical is determined using gravitational force and trigonometric relationships. The gravitational force (Fg) is calculated as 19.6 N (2 kg * 9.8 m/s²). The tension at the angle is derived from the formula Ft = Fg/cos(30°), leading to a corrected maximum tension of approximately 22.6 N. The maximum tension occurs at the lowest point of the swing due to centripetal acceleration.

PREREQUISITES
  • Understanding of basic physics concepts such as tension and gravitational force
  • Knowledge of trigonometric functions, specifically sine and cosine
  • Familiarity with centripetal acceleration principles
  • Ability to perform calculations involving angles and forces
NEXT STEPS
  • Study the principles of centripetal acceleration in detail
  • Learn how to apply trigonometric functions in physics problems
  • Explore the effects of angle on tension in various physical scenarios
  • Investigate the impact of mass and gravitational force on tension calculations
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding the dynamics of tension in strings and forces in motion.

Andriko
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This is a question in my physics lab I'm pretty sure i have done it wrong but don't know what. if anyone can help that would be great

Q- Determine the maximum tension in a string 3m long, supporting a mass of 2Kg, if its released at an angle of 30 degrees to the vertical. (assume vacuum)

The first thing i did was find Fg which is m*g, which equals 2Kg*9.8 =19.6

Then i made a relationship with the angle to find the force of tension which i believed to be the hypotenuse?

Ft = 19.6/sin(30)
= 39.2 N ?
 
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You mean the tension in the string at that point?

The maximum tension of the string can be found at the bottom of the swing due to the force of centripetal acceleration.

But to find the tension force at that point when it is 30 degrees from the vertical would be 19.6cos30, you have the adjacent force which is the force of gravity so you have to find the hypotenuse.
 
Oh i understand i think i did a sin error, rather then doing cos i did sin
 

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