he centre of mass in
Related questions
Question
Can I get handwritten solutions to a and b please as the handwritten versions are easier to follow along with

Transcribed Image Text:Problem 3
(a) Consider a homogeneous cylinder of mass M, radius R and height h. Show that the inertia tensor in the
principal axis system has the form
4
(R² + ²)
0
0
Jab
=
0
0
(R² +²)
0
0
MR²
(b) Consider a right circular solid cone with radius r, height h and mass m. The density of the cone is
constant:
Z
Calculate the centre of mass in the Cartesian coordinate system in which the base of the cone lies on
the (x, y) plane centered at the origin (see figure).
(c) Calculate the moment of inertia of the cone about its symmetry axis.
(d) Find the principal axes of the cone. Is there any ambiguity in choosing the principal axis system?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
