8 Nov 2021
Problem 36
Page 474
Section 6.6: Applications to Physics and Engineering
Chapter 6: Application of Integration
Textbook ExpertVerified Tutor
8 Nov 2021
Given information
the shape of the vertical plate is given as follows:
Step-by-step explanation
Step 1.
obtain the length of the half of the diagonal of the square using the pythagoras theorem.
this is the depth of the center of the square form the surface of water.
So, the depth of a point on the vertical diagonal which is at a distance from the center of the square is and now compute the width of a horizontal line on the plate passing through this point.
So,Compute the area of a thin horizontal strip of the plate of thickness at this distance .
and now evaluate the hydrostatic pressure at the depth .