Mechanical Engineering, Indian Institute of
Science, Bangalore 560 012, India Optimization hinders evolution! ME256
Variational Methods and Structural Optimization
Jan.-May., 2015
Instructor:
G. K.
Ananthasuresh
, Room 106, ME Building,
suresh at
mecheng.iisc.ernet.in
Lectures: Tu, Th: 08:30 AM - 10:00 AM;
Venue: ME MMCR (Multimedia Classroom)
Homework #1
Assigned: Jan. 6th, 2015
Due: Jan. 13th, 2015
Points: 40 Additional points for work that is beyond instructor's expectation!
Look up Homework #1 of 2010 offering of this course and the solution posted there to know what is meant by "beyond instructor's expectation".
20 points
Consider a concave mirror that is of the shape of a half-circle of radius R. Consider points A and B as shown in the figure below. The coordinates
of the point are indicated in the figure with original located at the centre. Find the
least-distance path from A to B such that the mirror is touched at exactly one point enroute. Work out the mathematics as well as provide
intuition for your answer.
20 points
Given that the sum of 2015 rational numbers is equal 1, find the least value of K such that the following inequality holds: .
.