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Please solve Quickly Q4: (20 Mark) & ux. 9 A sphere of radius R floats half submerged in a liquid. It is set into vibration.

image text in transcribedPlease solve Quickly

Q4: (20 Mark) & ux. 9 A sphere of radius R floats half submerged in a liquid. It is set into vibration. If x denotes the instantaneo displacement of the diametral plane of the sphere from the equilibrium position, show that x = m HDAY dx dt? 3g|x 2 R 3 R d& de 4R 11 epresent the governing differential equation of motion. V sphere 3

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