
372 Classical Mechanics
6. Find the velocity and acceleration of a point P on the rim of a wheel of radius R, which is
rolling down an inclined plane. The inclined plane makes an angle θ with the horizontal.
7. A coordinate system xyz is rotating with respect to an XYZ coordinate system having the
same origin and assumed to be xed in space (i.e., it is an inertial system). The angular
velocity of the xyz system relative to the XYZ system is given by
4
2
ti tj
where t is the time. The position vector of a particle at time t as observed in the xyz system
is given by
rt it
=+−+()
164
.
Find (a) the apparent velocity ...