Because the width (the b variable in dbdh) is constant.EastWindBreaks said:
It doesn't really. Just bear in mind that the gates are vertical, so in the equation in the red box you would put θ=π/2. On the other hand, the area is not WD. To express the answer in terms of W and D you need to make reference to the 15° angle.EastWindBreaks said:
oh yeah, I got it now, thank you!haruspex said:
Integrals are necessary because they allow us to calculate the total effect of continuous and varying forces on an object. This is important because forces can vary in magnitude and direction, and integrals allow us to consider the effect of each infinitesimal force on the object.
No, simple addition is only applicable to forces that are constant and acting in the same direction. When forces are varying and/or acting in different directions, simple addition will not give an accurate result.
An integral helps in finding the direction of resultant force by breaking down the varying forces into smaller components and considering their effects in different directions. By summing up these components using an integral, we can determine the direction of the resultant force.
No, there are other methods such as vector addition and trigonometric methods that can be used to find resultant force. However, integrals are often the most accurate and efficient method when dealing with continuous and varying forces.
Yes, there are many real-life applications such as calculating the total force exerted on a structure by wind or water, finding the center of mass of irregularly shaped objects, and determining the torque on a rotating object.
