4. A rectangle with uniform mass distribution is tipped precariously on one edge, as shown. a) Find the moment of inertia of the rectangle about the corner in contact with the ground. b) The two forces on the rectangle are the normal force, applied at the corner in contact with the ground, and the weight, applied at the center of mass. Find the angular acceleration of the rectangle about a perpendicular axis at the corner in contact with the ground. 0.4 m 1.6 m m = 20kg 30°
4. A rectangle with uniform mass distribution is tipped precariously on one edge, as shown. a) Find the moment of inertia of the rectangle about the corner in contact with the ground. b) The two forces on the rectangle are the normal force, applied at the corner in contact with the ground, and the weight, applied at the center of mass. Find the angular acceleration of the rectangle about a perpendicular axis at the corner in contact with the ground. 0.4 m 1.6 m m = 20kg 30°
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I'm not sure how to work this problem. The problem gives an answer of Itot=Icm+Md^2=18.1 kg*m^2 for part A. The problem also gives an answer of a=6.41 rad/s^2 for part B but does not show how to work the problems to get to these answers.
Transcribed Image Text:4. A rectangle with uniform mass distribution is tipped precariously on one edge, as shown.
a) Find the moment of inertia of the rectangle about the corner in contact with the ground.
b) The two forces on the rectangle are the normal force, applied at the corner in contact with
the ground, and the weight, applied at the center of mass. Find the angular acceleration of the
rectangle about a perpendicular axis at the corner in contact with the ground.
0.4 m
1.6 m
m = 20kg
30°
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