Find the euler–lagrange equation describing the brachistochrone curve for a particle moving inside a spherical earth of uniform mass density. obtain a first integral for this differential equation by analogy to the jacobi integral h. with the of this integral, show that the desired curve is a hypocycloid (the curve described by a point on a circle rolling on the inside of a larger circle). obtain an expression for the time of travel along the brachistochrone between two points on earth’s surface. how long would it take to go from new york to los angeles (assumed to be 4800 km apart on the surface) along a brachistochrone tunnel (assuming no friction) and how far below the surface would the deepest point of the tunnel be?
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Physics, 22.06.2019 03:00
Which law represents the thermodynamic statement of the conservation of energy of a system? a. the fourth law b. the first law c. the second law d. the third law
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Physics, 22.06.2019 04:50
The position of a crate sliding down a ramp is given by x=(0.05t^3) m, y=(1.7t^2) m, z=(6−0.85t^5/2) m, where t is in seconds. (a) determine the magnitude of the crate's velocity when t = 2 s. (b) determine the magnitude of the crate's acceleration when t = 2 s.
Answers: 2
Find the euler–lagrange equation describing the brachistochrone curve for a particle moving inside a...
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