The discussion focuses on the analysis of a point mass weighing 8.0 N suspended by two ropes at angles of 30 degrees (angle a) and 60 degrees (angle b). The calculated tensions are T1 = 4 N and T2 = 6.93 N. Participants seek to determine the maximum tension among the two forces and the minimal required tensile strength of the rope. The conclusion emphasizes that the maximum tension is the larger of T1 and T2, and the tensile strength should be evaluated as a function of angle a while keeping angle b constant.
PREREQUISITESPhysics students, engineers, and anyone involved in mechanics or structural analysis will benefit from this discussion, particularly those focusing on tension forces and static equilibrium in systems with multiple supports.
Simon Akbar said:How do I find the maximum tension of the obtained tension forces?
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.Simon Akbar said:How do find the minimal required tensile strength of the rope?
Maximum with respect to what, i.e. what is allowed to vary? Or maybe it is just the maximum of the two tensions?Simon Akbar said:maximum tension of the obtained tension forces?
Larger of T1 and T2 that you obtained in last post ?Simon Akbar said:q1) Find the larger value, Tmax , of the obtained tension forces.
Buffu said:Larger of T1 and T2 that you obtained in last post ?
yes
If angle a is constant then angle b is also constant.
If angle a is constant then angle b is also constant.
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 said: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.
Is the sum of T1 and T2 equal to the minimal required tensile strength of the rope?haruspex said: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.
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?Simon Akbar said:Is the sum of T1 and T2 equal to the minimal required tensile strength of the rope?