Here are just a couple of extra problems that might be useful for
reviewing for the exam:


1) (Moderately hard, but familiar)   A mass M sits on an inclined
plane, tilted at an angle theta from the horizontal. YOU push it up the
plane (at a constant speed), a distance L.  How much work did YOU do?
(Assume M, theta, and L are all given to you) 

How would your answer change if there was a coefficient of kinetic
friction (mu) given?


2) (Not too hard, but a little unfamiliar?)   A pendulum starts tilted
at an angle theta. It is released NOT from rest, but with a small
nonzero starting speed, of v0.  What is the speed of the pendulum at
the bottom of its swing?  (Assume theta, v0, and L, the pendulum
length, are all given)


3) (Simple, there's a trick) You bring your car from rest up to 40 m/s in 8
seconds. Assuming no friction, how much work did the engine do? (Assume M of
the car is given)

4) (Straightforward, familiar: can you do this one without using ANY
crib sheet or notes at all?) A bullet hits a wooden block which is
hanging from a rope, and sticks  (the classic "ballistic pendulum"
problem) Given the bullet's mass and initial speed, and the wooden
blocks mass, how high will the system rise?

5)  (straightforward?)   A bike wheel is mounted on its axle, like the
demo I often do in  class.  I apply a force, F tangentially on the
outside rim. Given the force F, the mass, M, and radius R of the wheel,
(and assuming it's a "hoop") what is the angular speed of the wheel
after I apply this constant force for 2 seconds?

(6) (moderate, if you can understand the wording here...If not,
make up a problem like this for yourself! I'll make the problems
crystal clear on the exam, naturally! :-))  In class, I spun on a
turntable with lead bricks in my outstretched hands.  When I pulled my
hands in close, I spun faster. How MUCH faster?  

Here are the givens you should assume: My BODY in the outstretched
position (but with nothing in my hands) has moment of inertia I1. My BODY
in the squeezed position (with nothing in my hands) has moment of inertia
I2. The bricks have mass M. The are at a given radius R1 when my arms
are outstretched, and they are at a smaller, given radius R2 when my
ares are squeezed in.

7)  (Straightforward, moderate?)  I build a desk by attaching a plank
to two supports at the far ends. I put a mass M (given) on the plank,
2/3 of the way towards one support. The plank has a mass, m (given).
Find the forces (direction and magnitude) ON the plank by the two
supports.