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A uniform horizontal beam of mass m and length L is attached to a at point p, with the opposite end supported by a cable, as shown in the figure. The angle between the beam and the cable is theta. What is the magnitude of the torque that the cable exerts on the beam?

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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.

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