Mechanical 2 Geometric Properties

What is the area of the shape?

• 24cm²

• 24cm

• 10cm

• 10cm²

What is the centroid of the shape?

• (6, 4)

• (4, 6)

• (2, 3)

• (3, 2)

What is the centroid of the shape?

• $\overline{x}\ =1cm,\ \ \overline{y}=3cm$

• $\overline{x}\ =1.5cm,\ \ \overline{y}\ =4.5cm$

• $\overline{x}\ =3cm,\ \ \overline{y}\ =9cm$

• $\overline{x}=2cm,\ \ \overline{y}=3cm$

What is the areaof the shape?

•  $27cm^2$  

•  $\frac{27}{2}cm^2$  

•  $27cm$  

•  $\frac{18}{2}cm^2$  

What is the area of this compound shape?

• 14.3cm²

• 14.2cm²

• 20.6cm²

• 58.3cm²

What is the location of the centroid of the semicircle?

• (2, 0.85)

• (2, 0.62)

• (2, 2.85)

• (2, 2.62)

When calculating the centroid of a compound shape how many columns do you need in the table?

• 4

• 5

• 6

• 7

Once you have completed the table how do you calculate the centroid of a compound shape?

• $\overline{x}=\frac{Ax}{A},\ \ \ \ \overline{y}=\frac{Ay}{A}$

• $\overline{x}=Ax,\ \ \overline{y}=Ay$

• $\overline{x}=x,\ \ \overline{y}=y$

• $\overline{x}=Ax\times A,\ \ \overline{\ y}=Ay\times y$

This steel block has a density of 8000kgm^-3 what is its mass?

• 16x10⁶kg

• 16x10³kg

• 1.6x10³kg

• 1.6x10⁶kg

What is the volume of the block in mm³ ?

• 200 mm³

• 200x10^-6 mm³

• 200x10^-9 mm³

• 200x10⁹ mm³