(Newton's 2nd & 3rd laws) finding mass

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Homework Help Overview

The problem involves a mass suspended by two cables at different angles, with given tensions. The subject area pertains to Newton's laws of motion, specifically focusing on forces acting on the mass and their components.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the mass, identifying gravitational force and tension forces. There is an exploration of the vertical and horizontal components of the tensions, with questions about their calculations and relationships.

Discussion Status

Participants are actively engaging with the problem, checking assumptions about the forces involved and discussing the components of tension. There is recognition of the need to clarify the components of the forces, particularly distinguishing between vertical and horizontal components.

Contextual Notes

There is a mention of a diagram that could aid in understanding the relationships between the forces, and a note that the horizontal components of the tensions must be equal in magnitude, indicating a potential constraint in the problem setup.

shamma
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A mass is hanged by 2 cables, the first makes 30° with the ceiling while the second makes 60° with the ceiling. Find the attached mass if the first tension is 24.5 N and the second tension is 42.7 N.

my way:
T1=24.5N θ=30
T2=42.7N θ= -60
m=?
m=Fnet/a

the ans should be (m=5.017 Kg)
 
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How many forces act on the mass?
 
3 forces
Fg and 2 tension forces
 
Now find the vertical components of the two tensions.
 
T1: 24.5 sin 60=21.21N
T2: 42.7 sin 30=21.35N
 
shamma said:
T1: 24.5 sin 60=21.21N
T2: 42.7 sin 30=21.35N

If you draw a diagram you will notice that the above are the HORIZONTAL components.

(Incidentally, the horizontal components must be equal in magnitude)
 
yes, your right.
 

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