A wooden block of length w into the page with sides of lengt

A wooden block of length, w, into the page with sides of length, L, is pivoted on edge as shown in the figure below. The block is in static equilibrium when immersed in water to the depth shown, d. The friction in the pivot is negligible. If the density of the water is 1000 kg/m3, determine the density of the wood block.

Solution

Ans:

From archimedis principle,

Weight of the wood equal to the buoyancy force acting by water on body upward.

(density x g x total volume)_{wooden block} = (density x g x submerge volume)_water

V_submerge/Vtotal = (density)_block/ (density)_water

1.2 x 0.6 x 1/1.2 x 1 x 1 x 1000=600

density of wooden block = 600 kg/m³