Final answer:
To determine the value of h, set up an equation based on the given information. Calculate the weights of the aluminum plates and the brass core, and then substitute the expressions into the equation to solve for h.
Step-by-step explanation:
To determine the value of h, we can set up an equation based on the given information. Let's say the load carried by the aluminum plates is x. According to the question, the portion of the load carried by the aluminum plates brass core is half of the portion of the load, so the load carried by the brass core would be x/2.
Now let's consider the weights of the aluminum plates and the brass core. The weight of each aluminum plate is proportional to its volume, which can be calculated using the formula:
Volume = Mass / Density
The weight of the aluminum plates is given by:
Weight of aluminum plates = Volume of aluminum plates * Density of aluminum
Using the same logic, we can calculate the weight of the brass core.
Since the portion of the load carried by the aluminum plates brass core is half of the portion of the load, we can set up the following equation:
x/2 = Weight of brass core / Total weight
Now we can substitute the expressions for the weights of the aluminum plates and the brass core into the equation and solve for h.