PRINTER VERSION4 BACK NEXT Chapter 10, Problem 041 In the figure, two particles,

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PRINTER VERSION4 BACK NEXT Chapter 10, Problem 041 In the figure, two particles, each with mass m 0.85 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d- 5.8 cm and mass M- 1.3 kg. The combination rotates around the rotation aas with angular speed ? 0.34 rad/s. Measured at uro, what is the conti ations a otat nal inertia and b inetic meron 10, Problem 10. Problem Rotation axis (a) Number (b) Number Click if you would like to Show Work for this question: Open Show Wor Units Units ?? ? Question Attempts: Unlimited SAVE FOR LATES 11:00 PM 4/2013 O Type here to search

Explanation / Answer

mass of the particle m = 0.85 kg

length d = 5.8 cm = 5.8*10-2 m

mass M = 1.3 kg

angular speed ? = 0.34 rad/s

total rotational moment of inertia is

I = IA + IB + IC + ID

     = [Md2/12 + M(d/2)2] + md2 + [Md2/12 + M(3d/2)2] + m(2d)2

     = [Md2/12 + Md2/4] + md2 + [Md2/12 + (9/4)Md2] + m(2d)2

     = (8/3)Md2 + 5 md2

     = (8/3)(1.3)(5.8*10-2)2 + 5(0.85)(5.8*10-2)2

     = 0.026

     = 2.60*10-2 kg.m2

kinetic energ, K.E = (1/2)I?2 = (1/2)(2.60*10-2)(0.34)2 = 1.5*10-3 J = 1.5 mJ

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