hw3_problems - Homework 3 Classical Mechanics (Phys701)...

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Homework 3 Classical Mechanics (Phys701) Due: September 26, 2011 Problem 4-21 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 4-22 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 co-latitude, the direction of deviation being to the right in the northern hemisphere. Problem 4-23 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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