As shown in the figure below, a ball is suspended vertically (at rest) from a pivot point by a strong lightweight cord. When a wind of constant force F is incident on the ball, it swings upward to some height above the starting point. The maximum height H, obtained is a function of the force F. The mass of the ball is m = 0.140 kg and the length max of the cord is L = 0.770 m. Pivot Pivot L L F - m H (a) Find an expression for H, (in m) as a function of F. You may use any of the given variables and g. (Do not substitute numerical values; use variables only.) max H. max (b) Evaluate H (in m) for F = 1.00 N. max (c) Evaluate H, (in m) for F = 10.0 N. max

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.19P
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As shown in the figure below, a ball is suspended vertically (at rest) from a pivot point by a strong lightweight cord. When a wind of constant force F is incident on the ball, it
swings upward to some height above the starting point. The maximum height H,
obtained is a function of the force F. The mass of the ball is m = 0.140 kg and the length
max
of the cord is L = 0.770 m.
Pivot
Pivot
L
L
F -
m
H
(a) Find an expression for H,
(in m) as a function of F. You may use any of the given variables and g. (Do not substitute numerical values; use variables only.)
max
H.
max
(b) Evaluate H
(in m) for F = 1.00 N.
max
(c) Evaluate H,
(in m) for F = 10.0 N.
max
Transcribed Image Text:As shown in the figure below, a ball is suspended vertically (at rest) from a pivot point by a strong lightweight cord. When a wind of constant force F is incident on the ball, it swings upward to some height above the starting point. The maximum height H, obtained is a function of the force F. The mass of the ball is m = 0.140 kg and the length max of the cord is L = 0.770 m. Pivot Pivot L L F - m H (a) Find an expression for H, (in m) as a function of F. You may use any of the given variables and g. (Do not substitute numerical values; use variables only.) max H. max (b) Evaluate H (in m) for F = 1.00 N. max (c) Evaluate H, (in m) for F = 10.0 N. max
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