Problem 6: A particle released from rest from the top A of a tower of height h will appear not to fall straight down due to the effect of the

Earth's rotation. It may be shown that the object has an eastward horizontal acceleration relative to the horizontal surface of the Earth equal to 2v,w cos y, where v, is the free-fall downward velocity, wis the angular velocity of the Earth, and y is the latitude. Determine the deflection b if h = 1000 ft and y = 30°. The angular velocity of the Earth is w = 0.7292 × 10-4 rad/s and g = 32.2 ft/s².