Final answer:
The torque exerted by the cable on a beam is found using the equation torque equals the distance to the pivot times the force times the sine of the angle between the beam and the cable.
Step-by-step explanation:
The magnitude of the torque exerted by the cable on a uniform horizontal beam is calculated using the formula τ = r * F * sin(θ), where r is the distance from the pivot point to the point of force application, F is the force exerted by the cable, and θ is the angle between the beam and the cable. In this scenario, the distance r is equal to the length of the beam L, and F would be the tension in the cable, which we would need to find based on other information such as weights and angles provided in a specific problem.