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A cylindrical object of outer diameter 20 cm and mass 2 kg flots in wter with its axis vertical. If it si lightly depressed and then released, find the time peiod of the resulting simple harmonic motion of the object. |
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Answer» Given d=20` `rarr r=d/2=10cm` When depressed downward the net unbalanced force will cause SHM. Let xrarr displacement of the block from the equilibrium positoinso, Driving force `=U=V(rho_ug)` `rarr ma=pir^2(X)xxrho_ug)` `a=(pir^2rho_w9x)/(2xx10^3)` `[because m=2kg=2xx10^3g]` `T=2pisqrt(displacement/AScceleration)` `=2pisqrt((x)xx2xx10^3)/((pir^2rho_wg(x)))` `=2pisqrt(2xx10^3)/(pixx(10)62xx1xx10))` `=2pisqrt(2/(pixx10))=0.5sec` |
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