4. The masses and coordinates of four particles are as follows: 50g, x = 2.0 cm, y = 2.0 cm; 25g, x = 0, y = 4.0 cm; 25 g, x = −3.0 cm, y = −3.0 cm; 30g, x = −2.0 cm, y = 4.0 cm. What are the rotational inertias of this collection about the a) x, b) y, and c) z axes? d) Suppose that we symbolize the answers to a) and b) as A and B, respectively. Then what is the answer to c) in terms of A and B?

Answerboth technicians (a) and (b);

Distance covered, s = 8ft - 4ft = 4 ftinitial velocity, u = 34 ft/sthe acrobat is moving upwards and therefore, a = -g = -9.81 m/s^2 = 32.19 ft/s^2applying equation of motion; s = ut -1/2gt^2then,4 = 34t -1/2*32.19t^24 = 34t - 16.095t^2rearranging; -16.095t^2 + 34t - 4 = 0solving the quadratic equation; t = {-34 +/- sqrt [34^2 - 4(-16.)]}/2(-16.095) = 1.06 +/- 0.93 = 0.13 or 1.99the acrobat will take 0.13 seconds to be at 8 ft above the ground. additionally, once at the maximum height, the acrobat will move down and be at the same spot (that is height) after 1.99 seconds moving down.