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spinning cylinder. The crate and cylinder rotate together just fast enough that
the empty crate does not fall.A.
i.
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Physics 301 (Spring 1999)
Second Exam (February 26, 1999)
Name
1. [25 points total] A skier of mass m = 50 kg starts from rest at point A and skis down a hill
and then up a smaller hill having radius of curvature R = 20 m. The skier is testing some
new Fr

Sample Exam Problem
A. [20 points] A thin, uniform rod of length L and
mass M is suspended about the point L/3 from its
top. A spring of constant k is attached between
the top of the rod and a nearby wall. The length
of the spring is such that the equilib

Physics 302 (Spring 1998)
Second Exam (February 13, 1998)
1. [35 points total] A bead of mass m is free to slide without friction along a spoke of a wheel
that spins about a vertical axis with constant angular velocity o. (Note: the spoke remains
horizont

Practice Problem
An object is dropped from rest. After falling a distance R,
it enters a frictionless, semicircular groove of radius R (as
shown to the right). Find the magnitude of the normal
force exerted by the groove on the object as a function of
, w

3. [20 points] A simple pendulum of length b and mass m is suspended from a point on
the circumference of a thin massless disc of radius a that rotates with a constant
angular velocity about its central axis as shown.
A. Find the Lagrangian for the pendul

1. [35 points] A dinner bell is constructed in the shape of an equilateral triangle of side
b out of a heavy gauge wire of linear mass density . The bell pivots about one of the
corners.
A. Find the center of mass of the bell. Show your work.
B. Find the

Physics 301 (Spring 1999)
First Exam (February 5, 1999)
Name
1. [25 points total] An empty crate of mass m is in contact with the inner wall of a spinning
cylinder. The crate and cylinder rotate together just fast enough that the empty crate does not
fall

Physics 301 (Spring 1999)
First Exam (February 5, 1999)
Name
1. [25 points total] An empty crate of mass m is in contact with the inner wall of a spinning
cylinder. The crate and cylinder rotate together just fast enough that the empty crate does not
fall

Physics 301
Sample SHM Problems
1. A. [20 points] A thin, uniform rod of length L and
Pivot
L
k /3
mass M is suspended about the point L/3 from its
top. A spring of constant k is attached between the
top of the rod and a nearby wall. The length of the
spr

Physics 301 (Spring 1999)
Fourth Exam (April 16, 1999)
Name
1. [25 points total] Vanilla: A bead of mass 3m is free to slide
horizontally without friction on a wire, as shown. Attached to
the bead is a pendulum of length b and mass m. The bob of the
pendu

Physics 301 (Spring 1999)
Third Exam (March 26, 1999)
Name
1. [10 points total] Consider a thin metal spherical shell of mass M and radius b.
A. [5 pts] Find the gravitational potential at the center of the spherical shell. Show your
work.
B. [5 pts] Woul

Physics 301 (Spring 1999)
Final Exam (May 5, 1999)
Name
1. [30 points total] A simple pendulum of length b and mass m is suspended from a point on
the circumference of a thin massless disc of radius a that rotates with a constant angular
velocity about it

Physics 301 (Fall 1998)
Final Exam (December 14, 1998)
Name
1. [25 points total] A pendulum swings in the boxcar of a train as shown. The mass of the bob
is m, and the length of the string is b. The train car speeds up to the right with acceleration a.
b

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#1.
[30 points] An object is
dropped from rest. After falling a distance R, it enters a frictionless,
semicircular groove of radius R (as shown to the right). Find the magnitude of
the norm

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#1.
[30 points] An object is dropped from rest. After falling a
distance R, it enters a frictionless, semicircular groove of radius R (as shown
to the right). Find the magnitude of the normal for