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A small ball is attached to a rod of length 1.3 m in the horizontal x-y plane anchored at the origin. The rod+ball combination is forced to rotate in this plane with an angular acceleration given by a(t) = 0.42 - t - 0.09 t2 rad/s² with t in seconds. The ball is initially at the point (r, y) = (1.3, 0) m on its circular path, and its initial angular velocity is 0.45 rad/s in a counterclockwise sense. Measure angular position in the standard sense: counterclockwise with respect to the positive x-axis. (Retain four sig digs from parts a-d for part e.) At 0.88 s, and accurate to three sig digs, what is the ball's. a) [1] . angular speed? rad/s b) [1] . angular position? rad c) [0.51 .. centripetal/normal/radial acceleration magnitude? m/s?

A small ball is attached to a rod of length 1.3 m in the horizontal x-y plane anchored at the origin. The rod+ball combination is forced to rotate in this plane with an angular acceleration given by a(t) = 0.42 - t - 0.09 t2 rad/s² with t in seconds. The ball is initially at the point (r, y) = (1.3, 0) m on its circular path, and its initial angular velocity is 0.45 rad/s in a counterclockwise sense. Measure angular position in the standard sense: counterclockwise with respect to the positive x-axis. (Retain four sig digs from parts a-d for part e.) At 0.88 s, and accurate to three sig digs, what is the ball's. a) [1] . angular speed? rad/s b) [1] . angular position? rad c) [0.51 .. centripetal/normal/radial acceleration magnitude? m/s?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A small ball is attached to a rod of length 1.3 m in the horizontal x-y plane anchored at the origin. The rod+ball combination is forced to rotate in this plane with an angular acceleration given by a(t) = 0.42 - t – 0.09 - t2 rad/s? with t in seconds. The ball is initially at the point (x, y) = (1.3, 0) m on its circular path, and its initial angular velocity is 0.45 rad/s in a counterclockwise sense. Measure angular position in the standard sense: counterclockwise with respect to the positive x-axis. (Retain four sig digs from parts a-d for part e.) At 0.88 s, and accurate to three sig digs, what is the ball's. a) [1] . angular speed? rad/s b) [1] .. angular position? rad c) [0.5] . centripetal/normal/radial acceleration magnitude? m/s2 d) [0.5] . tangential acceleration magnitude? m/s2 e) [3] . acceleration vector? m/s? [1.5 marks for each Cartesian component. Hint: determine the unit tangent and normal vectors in Cartesian coordinates at this instant/angle. Remember to set your calculator in radians.]
Transcribed Image Text:A small ball is attached to a rod of length 1.3 m in the horizontal x-y plane anchored at the origin. The rod+ball combination is forced to rotate in this plane with an angular acceleration given by a(t) = 0.42 - t – 0.09 - t2 rad/s? with t in seconds. The ball is initially at the point (x, y) = (1.3, 0) m on its circular path, and its initial angular velocity is 0.45 rad/s in a counterclockwise sense. Measure angular position in the standard sense: counterclockwise with respect to the positive x-axis. (Retain four sig digs from parts a-d for part e.) At 0.88 s, and accurate to three sig digs, what is the ball's. a) [1] . angular speed? rad/s b) [1] .. angular position? rad c) [0.5] . centripetal/normal/radial acceleration magnitude? m/s2 d) [0.5] . tangential acceleration magnitude? m/s2 e) [3] . acceleration vector? m/s? [1.5 marks for each Cartesian component. Hint: determine the unit tangent and normal vectors in Cartesian coordinates at this instant/angle. Remember to set your calculator in radians.]
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