How Do You Calculate Tension in Different Configurations of Supporting Strings?

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Homework Help Overview

The problem involves calculating the tension in two supporting strings for a mass of 17kg, with one string (T2) having a specified tension and angle. The discussion explores different configurations of the strings and their effects on the tension calculations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculations for T1 based on the given conditions of T2, questioning how the change in T2's direction affects T1. There is uncertainty about the approach to the second part of the problem.

Discussion Status

Some participants have confirmed similar results for the first part of the problem, while others are exploring the implications of T2 acting vertically downwards. There is a recognition that T1 must provide an upward force, but the exact calculations for the second part remain unclear.

Contextual Notes

Participants are navigating the constraints of the problem, including the need to balance forces and the specific angles involved. There is an ongoing discussion about the assumptions regarding the directions of the tensions in the strings.

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Homework Statement


A mass of 17kg is supported statically by two strings. T2 has a magnitude of 150N at β=45° to the right of the vertical. (a)Calculate the vector T1. (b) If T2 was acting vertically downwards with the same magnitude as in (a) calculate T1.


Homework Equations


0=T1sinα-T2sinβ
0=T2cosβ+T1cosα-mg


The Attempt at a Solution


I calculated T1 for the first part and found it to be 122.1N at 60.31° to the left of the vertical. I'm not sure how to do the second part.
 
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I got the same answers for part 1 as you did.
If T2 is acting vertically downwards with a tension of 150N then it seems to me that T1 must be acting vertically upwards if these are 2 STRINGS supporting a mass !
 
I'm still not sure how you go about solving for T1 then.
 
I would say that T1 is now providing the upwards force to hold the 17kg mass plus the 150N downwards force caused by T2
So (9.81 x 17) + 150
 

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