BE 110
An Introduction to Biomechanics
Fall 2005
Homework Assignment #2
Due Tuesday 10/11/05, 8AM before class
1. Reading assignment
: Review the analytical definition of scalar, vectors and tensors in form of
orthogonal transformations (Section 2.6).
Write down a vector you are familiar with that
satisfies this definition.
Next write down two examples of a vector or a tensor (one of them with
biological or medical quantities) that does not
satisfy the invariance requirement under an
orthogonal transformation.
2. Practice Problems
(a) Using a free body diagram determine the stresses in a closed cylindrical shell with wall
thickness h and inner radius r
I
and with spherical caps.
(see page 24 for the solution).
(b) Prove the socalled epsilondelta identity between the Kronecker symbol
δ
ij
and the
permutation symbol e
ijk
:
e
ijk
e
ist
=
δ
js
δ
kt +
δ
jt
δ
ks
3. *Analysis Problem
.
Consider three distance vectors with the following components r
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This note was uploaded on 03/26/2010 for the course BENG 110 taught by Professor Schmidschoenbein during the Spring '08 term at UCSD.
 Spring '08
 SCHMIDSCHOENBEIN

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