Solved: A small object oscillates back and forth at the
Chapter 10, Problem 10.104(choose chapter or problem)
A small object oscillates back and forth at the bottom of a frictionless hemispherical bowl, as the drawing illustrates. The radius of the bowl is R, and the angle is small enough that the object oscillates in simple harmonic motion. Derive an expression for the angular frequency of the motion. Express your answer in terms of R and g, the magnitude of the acceleration due to gravity.
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