A bead, mass m, is sliding is sliding on a wire which is hanging freely in the shape of a cosh (hyperbolic cos) function. Assume the bead moves with no friction. For very small displacements in x what is the frequency of oscillation. You may use for the height of the wire and thus the height of the bead as a function of x the Taylor series expansion for cosh H(r) = 1+r/2 + x*/24 + ..
A bead, mass m, is sliding is sliding on a wire which is hanging freely in the shape of a cosh (hyperbolic cos) function. Assume the bead moves with no friction. For very small displacements in x what is the frequency of oscillation. You may use for the height of the wire and thus the height of the bead as a function of x the Taylor series expansion for cosh H(r) = 1+r/2 + x*/24 + ..
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Transcribed Image Text:A bead, mass m, is sliding is sliding on a wire which is hanging freely
in the shape of a cosh (hyperbolic cos) function. Assume the bead moves
with no friction. For very small displacements in x what is the frequency of
oscillation. You may use for the height of the wire and thus the height of the
bead as a function of x theTaylor series expansion for cosh
H(x) = 1+r*/2+x*/24 + .
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