Point body of mass hung from a ceiling on two ropes

[Simon Akbar]

Homework Statement

An object weighing 8.0 N is supported by two rope, which form the angles a and b to the horizontal, with tensions T1 and T2.
angle a = 30 degrees
angle b = 60 degrees
I have calculated these values:
T1 = 4N
T2 = 6.93N

How do I find the maximum tension of the obtained tension forces?
How do find the minimal required tensile strength of the rope?

Homework Equations

The Attempt at a Solution

 

[Buffu]

How do I find the maximum tension of the obtained tension forces?

How do find the minimal required tensile strength of the rope?

Find the generic function for T1 and T2 in terms of angle they form with the horizontal and then find the maxima/minima of that function.

 

[haruspex]

maximum tension of the obtained tension forces?

Maximum with respect to what, i.e. what is allowed to vary? Or maybe it is just the maximum of the two tensions?
Perhaps you should post the entire question, word for word.

 

[Simon Akbar]

q1) Find the larger value, Tmax , of the obtained tension forces.

q2) plot the minimal required tensile strength of the rope as a function of the angle a . Keep the mass and angle b the same.

 

[Buffu]

q1) Find the larger value, Tmax , of the obtained tension forces.

Larger of T1 and T2 that you obtained in last post ?

 

[Simon Akbar]

Larger of T1 and T2 that you obtained in last post ?
yes
If angle a is constant then angle b is also constant.

 

[Buffu]

Then it is clear that T2 > T1 because I think 6.93 > 4.

 

[Buffu]

If angle a is constant then angle b is also constant.

Sorry my mistake, if you change the position of rope T1 then a will change with b being constant.
Ignore this.

 

[haruspex]

q2) plot the minimal required tensile strength of the rope as a function of the angle a . Keep the mass and angle b the same.

Then you need to redo your calculation for the two tensions, but this time without plugging in a number for angle a. Just keep it as a variable.

 

[Simon Akbar]

Then you need to redo your calculation for the two tensions, but this time without plugging in a number for angle a. Just keep it as a variable.

Is the sum of T1 and T2 equal to the minimal required tensile strength of the rope?

 

[haruspex]

Is the sum of T1 and T2 equal to the minimal required tensile strength of the rope?

The ropes do not know about each other. If you were to make one rope very strong, would that help the other rope avoid breaking?