Final answer:
To find the tension T1 in the cable at a 45° angle, the sum of the vertical components of the tension must equal the weight of the object. A known tension T2 or additional equations are needed to solve for T1 as the problem provides insufficient information on its own.
Step-by-step explanation:
To determine the tension in cable T1 which is slanted at an angle of 45°, you can use the equilibrium conditions for the system. Since the weights are balanced and the system is static, the sum of the vertical and horizontal components of the tensions must equal the weight of the object and be zero in the horizontal direction respectively.
Let's denote T1 as the tension in the right-hand cable. The vertical component of this tension can be expressed as T1 * cos(θ), where θ is the angle concerning the vertical, which is also 45° in this case. Likewise, the left-hand cable with tension T2 has a vertical component of T2 * cos(52°). Considering only the vertical forces, the total weight of the object (633 N) is supported by the sum of these vertical components:
633 N = T1 * cos(45°) + T2 * cos(52°)
Without the tension T2 value, this cannot be solved directly; additional information or equations would be needed to find T1. If you have T2 or can derive it from other parts of the problem, you can solve for T1 using the equation above.