e) Not enough information is given to answer Questions 86-89 are based on the fo
ID: 2305979 • Letter: E
Question
e) Not enough information is given to answer Questions 86-89 are based on the following information: Three bodies consisting of three point masses are placed at locations as referenced by the cartesian coordinate axis shown below: 31 34 35 C) (o (0) 36 39 5 kg 81 82 83 () 84 A ) 86 (A 2 87 0 88 (A) x, m 89 90 (A 86) The moment of inertià of the system about the x-axis is e) 65 kg-m2 31 (A 132 (A) 133 A o) 28 kg-m2 d) 40 kg-m2 a) 16 kg-m' b) 37 kg-m2 85) The moment of inertia of the system about the y axis is moment of inertia of the system about the y-axis is 37 kg-m' e) 28 kg-m2 d) 40 kg-m2 e) 65 kg-m moment of inertia of the system about the origin is -mb) 37 kg-m c) 28 kg-m d) 40 kg-m2 e)65 kg-m 89) What are the coordinates of the center of mass of the system relative to the origin? a) (1.125 m, 1.3125 m) b) (2.25 m, 2.625 m) o) (1 m, 1 m) d) 2.625 m, 2.225 m) e) (2 m, 2 m) 90) If the mass of the earth is 6 X 1024 kg and its mean radius is 6.4 X 10 meters, then at what altitude above the earth's surface would the acceleration due to gravity be equal to half of the standard acceleration near the surface? a) 3.2 X 10 m b) 9 X 106 m c) 2.6 X 106 m d) 39200 m e) 78400 mExplanation / Answer
86. The correct option is b) 37 kg m2.
Moment of inertia M = 5 x 12 + 8 x 22 = 37 kg m2.
87. The correct option is c) 28 kg m2.
Moment of inertia M = 5 x 22 + 8 x 12 = 28 kg m2.
88. The correct option is e) 65 kg m2.
Moment of inertia M = 5 x (22 + 12) + 8 x (22 + 12) = 65 kg m2.
89. The correct option is a) (1.125 m, 1.3125 m).
Xcm = (3 x 0 + 8 x 1 + 5 x 2)/(3+8+5) = 18/16 = 1.125 m
Ycm = (3 x 0 + 8 x 2 + 5 x 1)/(3+8+5) = 21/16 = 1.3125 m
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