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An ice cube can slide around the inside of a vertical circular hoop of radius . It undergoes small-amplitude oscillations if displaced slightly from the equilibrium position at the lowest point.Find an expression for the period of these small-amplitude oscillations.Give your answer in terms of R and constants g and pi.

Respuesta :

Answer:

[tex]T=2\pi \times \sqrt {\frac {g}{\mu R}[/tex]

Explanation:

[tex]\mu mw^{2}R=mg[/tex]

where m is the mass, g is acceleration due to gravity

The masses m are on both sides hence they cancel

[tex]W=\sqrt {\frac {g}{\mu R}[/tex]

We know that T=2\pi W and substituting W with the above equation then

[tex]T=2\pi \times \sqrt {\frac {g}{\mu R}[/tex]