One end of a cord is fixed and a small 0.700-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.50 m, as shown in the figure below. When = 30.0°, the speed of the object is 8.50 m/s. Ⓡ (a) At this instant, find the magnitude of the tension in the string. (b) At this instant, find the tangential and radial components of acceleration. a₁ = m/s2 downward tangent to the circle m/s² inward (c) At this instant, find the total acceleration. 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? O Yes O No (e) Explain your answer to part (d).

Physics for Scientists and Engineers: Foundations and Connections
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Chapter12: Rotation I: Kinematics And Dynamics
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One end of a cord is fixed and a small 0.700-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.50 m, as shown in the figure below. When 8 = 30.0°, the speed of the object is 8.50 m/s.
(a) At this instant, find the magnitude of the tension in the string.
N
(b) At this instant, find the tangential and radial components of acceleration.
at =
m/s² downward tangent to the circle
m/s² inward
a =
(c) At this instant, find the total acceleration.
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?
O Yes
O No
(e) Explain your answer to part (d).
Transcribed Image Text:One end of a cord is fixed and a small 0.700-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.50 m, as shown in the figure below. When 8 = 30.0°, the speed of the object is 8.50 m/s. (a) At this instant, find the magnitude of the tension in the string. N (b) At this instant, find the tangential and radial components of acceleration. at = m/s² downward tangent to the circle m/s² inward a = (c) At this instant, find the total acceleration. 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? O Yes O No (e) Explain your answer to part (d).
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