One end of a cord is fixed and a small 0.480-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.00 m as shown in the figure below. When 0 = 27.0°, the speed of the object is 7.90 m/s. At this instant, find each of the following. (a) the tension in the string T = (b) the tangential and radial components of acceleration a = m/s? inward at = m/s? downward tangent to the circle (c) the total acceleration atotal = m/s2 inward and below the cord at

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Chapter1: Units, Trigonometry. And Vectors
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One end of a cord is fixed and a small 0.480-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.00 m as shown in the figure below. When 0 = 27.0°, the
%3D
speed of the object is 7.90 m/s. At this instant, find each of the following.
(a) the tension in the string
T =
N
(b) the tangential and radial components of acceleration
ar =
m/s? inward
at =
m/s2 downward tangent to the circle
(c) the total acceleration
atotal =
m/s2 inward and below the cord at
(d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up?
Yes
No
(e) Explain your answer to part (d).
Transcribed Image Text:One end of a cord is fixed and a small 0.480-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.00 m as shown in the figure below. When 0 = 27.0°, the %3D speed of the object is 7.90 m/s. At this instant, find each of the following. (a) the tension in the string T = N (b) the tangential and radial components of acceleration ar = m/s? inward at = m/s2 downward tangent to the circle (c) the total acceleration atotal = m/s2 inward and below the cord at (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? Yes No (e) Explain your answer to part (d).
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