The masses and coordinates of four particles are as follows: 26 g, x = 3.0 cm, y = 3.0 cm; 18 g, x = 0, y = 6.0 cm; 15 g, x = -4.5 cm, y = -4.5 cm; 23 g, x = -3.0 cm, y = 6.0 cm. what are the rotational inertias of this collection about the (a) x, (b) y, and (c) z axes?

1)

2)

3)

Explanation:

Since the given masses are completely in xy plane we have

Moment of inertia about x axis equals

Applying the values we get

Similarly

Moment of inertia about y axis equals

Applying the values we get

Now by theorem of perpendicular axis of moment of inertia we have

Appying values we get

explanation:

v=uf/(u-f)

= 5.-10/(5+10) convex lens has negative focal length