FALL 2007
Name:_____________________________
ENME361: MID-TERM
EXAM I
PLEASE PAY ATTENTION TO THE FOLLOWING
:
1.
Be neat
2.
Five Problems, not equally weighted
3.
State all assumptions made and provide steps
4.
Maximum time allowed for exam: 75 minutes
1. (15) A pendulum of mass
m
attached to a moving pivot of mass
M
is shown. Assume
that the pivot cannot translate in the vertical direction. Let the horizontal translation of
the pivot point from the fixed point
O
be measured by the coordinate
x
and the angle
θ
be used to describe the angular displacement of the pendulum from the vertical:
1.
Determine the absolute velocity of the pendulum, and
2.
Assuming that the bar to which the pendulum mass
m
is connected is
massless, determine the kinetic energy for the system.
m
θ
O
M
Pivot,
'
O
x
l

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*