There will be another question later building on this one. Be sure to save your computations for referencing later. A 6-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 3 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5 revolutions per second. Thus, when t=1/9 sec, the rod is situated as in the diagram at the right below. Note that the wheel has its center at the origin. A B (a) When t=1/9 sec, Point A has coordinates ( (b) The angular velocity for the circular motion of the point A is w= (c) Express the x and y coordinates of point A as a function of t: x= and y= B B ) and point B has coordinates ( ,0). (d) Express the x-coordinate of the right end of the rod at point B as a function of t: (e) Express the velocity of the right end of the rod as a function of t: radians per second centimeters per second.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
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Problem 1.36EP
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There will be another question later building on this one. Be sure to save your computations for referencing later.
A 6-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 3 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5
revolutions per second. Thus, when t=1/9 sec, the rod is situated as in the diagram at the right below. Note that the wheel has its center at the origin.
A
B
(a) When t=1/9 sec, Point A has coordinates (
(b) The angular velocity for the circular motion of the point A is w=
(c) Express the x and y coordinates of point A as a function of t:
x=
and y=
B
B
) and point B has coordinates (
,0).
(d) Express the x-coordinate of the right end of the rod at point B as a function of t:
(e) Express the velocity of the right end of the rod as a function of t:
radians per second
centimeters per second.
Transcribed Image Text:There will be another question later building on this one. Be sure to save your computations for referencing later. A 6-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 3 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5 revolutions per second. Thus, when t=1/9 sec, the rod is situated as in the diagram at the right below. Note that the wheel has its center at the origin. A B (a) When t=1/9 sec, Point A has coordinates ( (b) The angular velocity for the circular motion of the point A is w= (c) Express the x and y coordinates of point A as a function of t: x= and y= B B ) and point B has coordinates ( ,0). (d) Express the x-coordinate of the right end of the rod at point B as a function of t: (e) Express the velocity of the right end of the rod as a function of t: radians per second centimeters per second.
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