D Pivot point A Rod A massless rigid rod of length L has a ball of mass m attached to one end. The other end is pivoted in such a way that the ball will move in a vertical circle. First, assume that there is no friction at the pivot. The system is launched downward from the horizontal position A with initial speed vo. The ball just barely reaches point D and then stops. NOTE: Express your answers in terms of the L, m, and g.

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Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 84P: You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is turning at 90.0 rpm,...
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(b) What is the tension in the rod when the ball passes through B?
Tension
%3D
(c) A little grit is placed on the pivot to increase the friction there.
Then the ball just barely reaches C when launched from A with
the same speed as before. What is the decrease in the mechanical
energy during this motion?
AEmech
%3D
(d) What is the decrease in the mechanical energy by the
time the ball finally comes to rest at B after several oscillations?
AEmech
Transcribed Image Text:(b) What is the tension in the rod when the ball passes through B? Tension %3D (c) A little grit is placed on the pivot to increase the friction there. Then the ball just barely reaches C when launched from A with the same speed as before. What is the decrease in the mechanical energy during this motion? AEmech %3D (d) What is the decrease in the mechanical energy by the time the ball finally comes to rest at B after several oscillations? AEmech
Pivot
point
Rod
B
A massless rigid rod of length L has a ball of mass m attached to
one end. The other end is pivoted in such a way that the ball will
move in a vertical circle. First, assume that there is no friction at
the pivot. The system is launched downward from the horizontal
position A with initial speed vo. The ball just barely reaches point
D and then stops.
NOTE: Express your answers in terms of the L, m, and g.
(a) Determine an expression for vo.
(b) What is the tension in the rod when the ball passes through B?
Transcribed Image Text:Pivot point Rod B A massless rigid rod of length L has a ball of mass m attached to one end. The other end is pivoted in such a way that the ball will move in a vertical circle. First, assume that there is no friction at the pivot. The system is launched downward from the horizontal position A with initial speed vo. The ball just barely reaches point D and then stops. NOTE: Express your answers in terms of the L, m, and g. (a) Determine an expression for vo. (b) What is the tension in the rod when the ball passes through B?
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