PHYSICS 2170/2175 (LLOPE) ExAM 3-A 13. What is the moment of inertia for four 15

Question

PHYSICS 2170/2175 (LLOPE) ExAM 3-A 13. What is the moment of inertia for four 15 kg masses located in the (X,Y) plane at positions: (2 m, 0 m), (-1 m, 0 m), (0 m,-2m), and (0 m, 3 m) with respect to rotations about the Z-axis? A. 30 kg.m2 B. 60 kg-m2 C. 120 kg-m2 D. 270 kg m2 E. 340 kg m2 15 ( + 1 +4 +9) 14. A 6 kg particle moves to the right at 4 m/s as shown. What is the magnitude of its angular momentum about the point X when the particle is 12 m away? 4m/s 6kg 30° 12m A. 0 kg-m2 B. 24 kg m2/s C. 240 kg m2s D. 144 kg m2/s E. 244 kg-m2/s

Explanation / Answer

13. I = m r^2

I = 15 (2^2 + 0^2) + 15 (1^2 + 0^2) + 15 (0^2 + 2^2) + 15(0^2 + 3^2)

I = 270 kg m^2

Ans:(D)

14. L = m( v x r ) = m v r sin(theta)

L = 6 x 4 x 12 x sin30

L = 144 kg m^2 / s

Ans(D)

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