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

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To calculate the tension in different configurations of supporting strings, the first part of the problem involves a mass of 17kg supported by two strings, with T2 at 150N at a 45° angle. The calculated tension T1 is 122.1N at 60.31° to the left of the vertical. In the second scenario, where T2 acts vertically downwards, T1 must counteract both the weight of the mass and the downward force of T2. The equation suggests that T1 should equal the sum of the gravitational force (9.81 x 17) and the 150N from T2. The discussion highlights the importance of understanding vector components in static equilibrium for accurate tension calculations.
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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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