Question

PLEASE CIRCLE ANSWER AND UNITS

Chapter 09, Problem 49 Three objects lie in the x, y plane. Each rotates about the Z axis with an angular speed of 8.02 rad/s. The mass of each object and its perpendicular distance from the axis are as follows: (1) m 6.70 kg and 7.20 m, (2) m 3.40 kg and 2-4.50 m. (3) M5.40 kound 7.30 m. Find the tangential speed of (a) object 1. (b) object 2, and (c) object 3 (d) Determine the total kinetic energy of this system using the expression RE M (e) Find the rotational kinetic energy of the system using the relation to verify that the answer is the same as that in (d). (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units Click if you would like to Show Work for this questions on Show Work LINK TO TEXT

Answer 1

(a)

Tangential speed of 1 is

Vi = riw = 7.20 * 8.02 = 57.744 m/s

(b)

Tangential speed of 2 is

U2 = row = 4.50 * 8.02 = 36.090 m/s

(c)

Tangential speed of 3 is

U3 = 13w = 7.30 * 8.02 = 58.546 m/s

(d)

Total kinetic energy of system

Elokat = 1 + 2 + 3

Etotal = ** 6.70(57.744)2 +* * 3.40(36.09)2 + ** 5.40(58.546) ?

Etotal = = *6.70(57.744)2 +* *3.40(36.09)2 +**5.40(58.546)2 = 22639 J

e)

Rotational kinetic energy of system

Erot = -1w2 = 5(mx} + moyž + marzywa

Erot = -(6.70 * 7.402 + 3.40 * 4.502 +5.40 * 7.302)(8.02)

Eret = 22639)

Which is same as in part (d)