A cylindrical block of wood of mass M is floating n water with its axis vertica. It is depressed a little and then released. Show that the motion of the block is simple harmonic and find its frequency.

Explanation

To show that the motion of a cylindrical block of wood floating in water is simple harmonic motion (SHM) when depressed slightly and released, we can follow these steps:

### Step 1: Understand the equilibrium condition
When the cylindrical block of wood is floating in water, it displaces a certain volume of water equal to the weight of the block. The weight of the block (W) is balanced by the buoyant force (F_B).

- **Weight of the block (W)**:
\[
W = M \cdot g
...