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1)
Consider a Simple Pendulum, consisting of a massless string of
Length L and a point
mass bob, released from rest at an angle (
THETA
max).
a)Assuming the
THETA
max is small Find the speed of the bob as it passes
through
THETA
=0.
b)Using conservation of energy, find the "exact" speed.
c) Using the small angle approximation SHOW that answers (a) and (b) are
equivalent.
d) repeat part (a) but consider the bob to have spherical dimensions with Radius
(r) and an uniformly distributed mass.
E) Determine the Velocity for each case if [ L=.5m,
THETA
max=.5 rad
(~28degrees), r=.02m)]
2) A Rope of length (L) hangs vertically from a ceiling. A quick jolt is given to the
bottom of the rope causing a wave to propagate up the rope.
a) is the speed of propagation constant through the trip.
b) Calculate the time it takes for the wave to return to it's orginal position.
(hint: reflected wave = incident wave)
3) A Mass (m=10) connected to two springs in series with spring constants (k1=2) and
(k2=3), is being driven by an external force ( F
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This note was uploaded on 05/03/2010 for the course PHYSICS 1B 318007200 taught by Professor Malkan during the Spring '10 term at UCLA.
 Spring '10
 malkan

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