Obtain the moment of inertia of the system

Reference no: EM13338556

Three objects lie in the x, y plane. Each rotates about the z axis with an angular speed of6.42 rad/s. The mass m of each object and its perpendicular distance r from the z axis are as follows: (1) m1 =5.58 kg and r1 = 1.98 m, (2) m2 =4.20 kg and r2 = 14.70 m, (3) m3 = 2.97 kg and r3 = 3.18 m.

(a) Find the tangential speed of each object.

vT1 = m/s

vT2 = m/s

vT3 = m/s

(b) Determine the total kinetic energy of this system using the expression KE = ½m1v12 + ½m2v22 + ½m3v32.

kg · m2

(d) Find the rotational kinetic energy of the system using the relation KER = ½I?2 to verify that the answer is the same as the answer to (b).

Reference no: EM13338556

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