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Homework 3
Classical Mechanics (Phys701)
Due: September 26, 2011
Problem 421
A particle is thrown up vertically with initial speed
v
0
, reaches a maximum height and falls back
to ground. Show that the Coriolis deﬂection when it again reaches the ground is opposite in
direction, and four times greater in magnitude, than the Coriolis deﬂection when it is dropped t
rest from the same maximum height.
Problem 422
A projectile is ﬁred horizontally along Earth’s surface. Show that to a ﬁrst approximation the
angular deviation from the direction of the ﬁre resulting from the Coriolis eﬀect varies linearly
with time at a rate
ω
cos
θ
where
ω
is the angular velocity of Earth’s rotation and
θ
is the colatitude, the direction of
deviation being to the right in the northern hemisphere.
Problem 423
The Foucault pendulum experiment consists of setting a long pendulum in motion at a point on
the surface of the rotating Earth with its momentum originally in the vertical plane containing
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 Fall '11
 Bazaliy
 mechanics, Work

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