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Unformatted text preview: Worksheet 11: Introduction to Rotation Questions 1. Can a rigid body have non-zero angular acceleration with zero angular velocity? The linear equivalent of this would be an object having nonzero acceleration with zero velocity, like a rock at the top of its arc when thrown in the air. An example of the rotational situation is a ball rolling up a hill. At some point, it will stop and start rolling down the hill. At the point it stops, it has zero angular velocity, but non-zero angular acceleration. 2. Two bugs are sitting on a merry-go-round, one closer to the center than the other. Both bugs will travel at the same angular speed. Both bugs travel through the same angular distance, so their angular velocities must be the same. 3. The bug on the outer edge will have greater linear speed than the bug in the middle. The reason is that v = Rω ; since both bugs have the same angular speed, ω , the bug at the greater radius R will have the greater linear speed. 4. In order to represent the angular velocity as a vector, we take vectorω to lie along the axis of rotation (i.e. vertically in this case). Use the right-hand-rule to figure out if the vector points vertically upward or vertically downward, as in Figure 1.vector points vertically upward or vertically downward, as in Figure 1....
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