Finding the mass of an object suspended by two ropes

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SUMMARY

The mass of an object suspended by two ropes can be calculated using the tensions in the ropes and their angles. In this discussion, the left string has a tension of 65.92 N at an angle of 30.76 degrees, while the right string is at an angle of 74.38 degrees. The correct method involves finding the vertical components of each tension, summing them to determine the weight, and then converting that weight to mass. The calculated mass of the object is 24.11 kg.

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  • Understanding of vector components in physics
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  • Familiarity with trigonometric functions (sine and cosine)
  • Ability to convert weight to mass using gravitational acceleration
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An object hangs by two strings as shown in the picture. It does not move. The tension in the left string is 65.92 N, and the left string is angled Øleft=30.76 degrees from horizontal. The right string is angled Øright=74.38 degrees from horizontal.

what is the mass of the object?

Relevant equations...not quite sure :/


I tried finding the other tension and than adding them to get the total Newtons and finding the mass that way but it didnt seem to work

the answer is 24.11kg I am just not sure on how to get the answer

 
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You must find the y components of each tension, and then add them. This will give you the weight, which you can then convert to mass.
 

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