UG senior currently finishing up my applications. Applying to 8 schools (MIT, Stanford, Columbia, Caltech, MSU, Notre Dame, Duke, UW-Seattle for the curious). I have plenty of research experience and a 3.8 gap (higher for math, physics). My recs should all be solid. This past semester was pretty...
Problem: Find the transformation matrix between the coordinate systems C and C′ when C′ is obtained
i) by reflecting C in the plane x2 = 0
ii) by rotating C through a right angle about the axis OB, where B is the point with coordinates (2, 2, 1).
In each case, find the new coordinates of...
Problem:
The first estimate of Newton’s constant G was made by Maskelyne in 1774 by measuring the angle between the directions of the apparent plumb-line vertical at points on opposite sides of the Scottish mountain Schiehallion (height 1081 m, chosen for its regular conical shape). Find a...