Calculating Mass and Tension: Classical Mechanics Problems Solved

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SUMMARY

This discussion focuses on solving classical mechanics problems involving mass and tension in strings. The first problem involves calculating the mass of an object suspended by two strings, where String One exerts a tension of 34 N at a 40-degree angle with the vertical, while the tension in String Two is 24 N with an unknown angle. The second problem requires finding the tension in a string parallel to the horizontal, supporting a 2 KG object connected to another string at a 60-degree angle. The third problem analyzes the tension in a system of three masses (M, 2M, and 3M) on a frictionless surface, subjected to a force of 12 N.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of vector resolution in physics
  • Familiarity with tension and forces in static equilibrium
  • Ability to apply trigonometric functions to solve angle-related problems
NEXT STEPS
  • Study vector resolution techniques in physics
  • Learn about static equilibrium and force balance equations
  • Explore tension calculations in multi-string systems
  • Investigate the application of trigonometry in physics problems
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Students of physics, educators teaching classical mechanics, and engineers involved in tension analysis and force calculations will benefit from this discussion.

eeeps333
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Hi, If these questions have been asked before, then please point me in the right direction.

1) Find the Mass of an object that is suspended by two strings. The tension on String one is 34 N and is held at a 40 degree angle with the horizontal (i.e., if a line was drawn through the center of the object, string one would form 40 degree angle between the vertical line and the horizontal). The tension in string 2 is 24 N and the angle is unknown.

2) Find the tension of a string that is parallel to the horizontal. The end of the string is attached to ANOTHER string, that creates a 60 degree angle with the horizontal. both strings are carying a 2 KG object at the point of connection
PHP:
_______________________________
                     |    /
                     |   / 
                     |  /             
----------------  | /             <-------------------60 degree angle and this point
                     |
                    [M]
3)3 masses of mass M, 2M and 3M, are attached on a frictionless surface, look like this:

<--------2F---[M]---2----[ 2M ]----1---[ 3M ]------3F---->

if F= 12N what is the tension in string 1
 
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correction.

Ques 1, the string (34n) forms a 40 degree angle with the vertical line. the veritcal line that is drawn from the horizontal above, through the suspended mass.
 

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