The mallet in Fig: P7–4 has a head made of steel and a cylindrical handle made of wood. The handle fits tightly into a hole over the entire width of the head. Locate the center of gravity of the mallet given γst= 490 lb/ft3, and γwd = 40 lb/ft3.

Determine the coordinates of the centroid of the area that lies between une straight line x =2y/3 and the parabola x = 4y, where x and y are measured in inches [see Fig. (a)]. Use the following methods: 6 in. (1) Using a horizontal differential area element; and (2) Using a vertical differential area element. i9 in. *= 4y !