Final answer:
To find the tension T2 in the lower rope, one must first determine the tension T1 in the shorter string using the additional information provided. Since T1 is twice the tension of T2, by finding T1, T2 can then be calculated as T1/2.
Step-by-step explanation:
To find the tension T2 in the lower rope, one must first determine the tension T1 in the shorter string using the additional information provided. Since T1 is twice the tension of T2, by finding T1, T2 can then be calculated as T1/2.
The question involves the concept of tension in ropes and strings, which is a fundamental topic in Physics. To find the tension in the lower rope, T2, we must use the information provided by the equilibrium equation for the x-direction, which states that the tension T1 in the 5.0-cm string is twice the tension T2 in the 10.0-cm string. If we assume that we have another equation relating these tensions to the mass m, we can solve for T1 first and then calculate T2 as T1/2.
Given that the equilibrium condition tells us T1 = 2T2, we would need the value of T1 to determine T2. This value may be given by another equation or could be deduced from details such as the force exerted, the mass being supported, or any angles involved. Unfortunately, without additional specific equation or numerical detail related to T1, we cannot compute the exact value for T2 at this time. However, once T1 is known, simply divide by 2 to find T2.