Question

A large billboard is held in position by a cable, K, with a breaking force of 1500 N and a wooden support, H, with a breaking force of 750 N, as indicated in the diagram below.

Determine the maximum weight the billboard can have by construction and measurement.​

Answer 1

Step-by-step explanation:

To determine the maximum weight the billboard can have, we need to use the breaking force of the cable and the support.

Let's denote the maximum weight that the cable can support as Wc and the maximum weight that the support can support as Ws. Then, we have:

Wc = 1500 N

Ws = 750 N

The maximum weight that the billboard can have is the minimum of Wc and Ws, since the billboard cannot be heavier than what the weaker component can support. Therefore, we have:

Wmax = min(Wc, Ws) = min(1500 N, 750 N) = 750 N

So, the maximum weight that the billboard can have is 750 N. Note that this assumes that the cable and the support are the only components holding the billboard in place, and that there are no other external factors that could affect the stability of the billboard.