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A high-speed train is traveling at a constant 150 m/s
Chapter 9, Problem 9.25(choose chapter or problem)
A high-speed train is traveling at a constant 150 m/s (about 300 mph) on a straight, horizontal track across the South Pole. Find the angle between a plumb line suspended from the ceiling inside the train and another inside a but on the ground. In what direction is the plumb line on the train deflected?
Questions & Answers
QUESTION:
A high-speed train is traveling at a constant 150 m/s (about 300 mph) on a straight, horizontal track across the South Pole. Find the angle between a plumb line suspended from the ceiling inside the train and another inside a but on the ground. In what direction is the plumb line on the train deflected?
ANSWER:Step 1 of 2
At the south pole the centrifugal force is zero and the Coriolis force is horizontal and to the left of the train, with magnitude \(F_{\mathrm{cor}}=2 m v \Omega\). There are three forces on the mass at the end of the plumb line: \(\mathbf{F}_{\text {cor }}\), the tension \(T\) in the line, and mass's weight \(mg\). (See the picture. which shows the plumb line as seen from the rear of the train. The train's velocity is into the page and the \(\Omega\) is vertically down.) The condition for equilibrium is
