(7) In terms of R, m, and vo, derive an expression for the angular speed, (w), of the combined disc-person object immediately after the stone is thrown. (Not necessarily all listed variables are used). (8) The person now stands on the disc at rest a distance RI2, (or 0.50R), from the center of the disc. The person now throws the stone horizontally with a speed of vo in the same direction as indicated in Question 7. Is the angular speed of the disc immediately after throwing the stone from this new position greater than, less than, or equal to the angular speed found in Question 7? Greater than Less than Equal to Briefly explain your choice with applications of sound physics principles.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A relatively small merry-go-round, (treated as a solid disc), has mass m and radius Ris initially stationary on a
horizontal surface. A person of mass, (m), stands on the edge of the disc.
Without slipping on the disc, the person throws a large stone of mass, (m/ 2; or 0.50m), horizontally at initial speed vo
from a height of h above the ground as shown below.
R
m/2
Side View
Top View
(5) Does the merry-go-round rotate as a result of the throw? Briefly explain your reasoning.
Assume the merry-go-round is not fixed on solid ground, but, rather, is positioned on an icy surface which is treated
as essentially frictionless.
(6) In terms of R, m, and vo, derive an expression for the speed of the disc-person system immediately after the stone
is thrown rightward. (Not necessarily all listed variables are used).
The person now stands on a similar disc of mass m and radius R that, now, has a fixed pole through its center so that
it can only rotate on the ice. The person throws the same stone horizontally in a tangential direction at initial speed vo,
as shown in the figure below.
Top View
Transcribed Image Text:A relatively small merry-go-round, (treated as a solid disc), has mass m and radius Ris initially stationary on a horizontal surface. A person of mass, (m), stands on the edge of the disc. Without slipping on the disc, the person throws a large stone of mass, (m/ 2; or 0.50m), horizontally at initial speed vo from a height of h above the ground as shown below. R m/2 Side View Top View (5) Does the merry-go-round rotate as a result of the throw? Briefly explain your reasoning. Assume the merry-go-round is not fixed on solid ground, but, rather, is positioned on an icy surface which is treated as essentially frictionless. (6) In terms of R, m, and vo, derive an expression for the speed of the disc-person system immediately after the stone is thrown rightward. (Not necessarily all listed variables are used). The person now stands on a similar disc of mass m and radius R that, now, has a fixed pole through its center so that it can only rotate on the ice. The person throws the same stone horizontally in a tangential direction at initial speed vo, as shown in the figure below. Top View
(7) In terms of R, m, and vo, derive an expression for the angular speed, (w), of the combined disc-person object
immediately after the stone is thrown. (Not necessarily all listed variables are used).
(8) The person now stands on the disc at rest a distance RI 2, (or 0.50R), from the center of the disc. The person
now throws the stone horizontally with a speed of vo in the same direction as indicated in Question 7. Is the angular
speed of the disc immediately after throwing the stone from this new position greater than, less than, or equal to the
angular speed found in Question 7?
Greater than
Less than
Equal to
Briefly explain your choice with applications of sound physics principles.
Transcribed Image Text:(7) In terms of R, m, and vo, derive an expression for the angular speed, (w), of the combined disc-person object immediately after the stone is thrown. (Not necessarily all listed variables are used). (8) The person now stands on the disc at rest a distance RI 2, (or 0.50R), from the center of the disc. The person now throws the stone horizontally with a speed of vo in the same direction as indicated in Question 7. Is the angular speed of the disc immediately after throwing the stone from this new position greater than, less than, or equal to the angular speed found in Question 7? Greater than Less than Equal to Briefly explain your choice with applications of sound physics principles.
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