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A spherical bob of mass m and radius R is attached to a fixed point by means of a massless rigid rod whose length from the point of support up to the centre of bob is l. Find the period of small oscillation. |
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Answer» Solution :`l (d^(2) THETA)/(dt^(2)) = -mg l SIN theta ~= -mgl theta` where `l = (2)/(5) mR^(2) + m l^(2)` `=m ((2)/(5) R^(2) + l^(2))` `:. (d^(2) theta)/(dt^(2)) = (- mg l theta)/(m((2)/(5) R^(2) + l^(2)))` `rArr T = 2pi sqrt((5L^(2) + 2R^(2))/(5gl))` 
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