In the diagram below, particle P travels along the curved guide due to the counterclockwise rotation of the arm AB. Motion is in the vertical plane. The guide is described by the equation r(0) = ve m where O is in radians measured from the horizontal. The mass of P is 5.0 kg. The size of P may be neglected. There is no friction in the problem. The arm exerts a force F on P perpendicular to AB. The slot exerts a normal force N on P: P is in contact with the outside of the guide as shown in the figure. At the instant shown: 0 = 67.5° 0 = 3.346 rad/s = = 6.337 rad/s² r = 1.0854 m i = 1.5415 m/s i = 0.7298 m/s? dr / d0 = 0.4607 m a) Draw a large, clear free body diagram for P at the instant shown. b) Determine the angle, w, between ü, and ū, at the instant shown. c) etermine numerical values for the radial and transverse (angular) components acceleration of P at the instant shown. d) Determine equations of motion for P at the instant shown. e) Determine numerical values for the magnitude of F and the magnitude of N at the instant shown.
In the diagram below, particle P travels along the curved guide due to the counterclockwise rotation of the arm AB. Motion is in the vertical plane. The guide is described by the equation r(0) = ve m where O is in radians measured from the horizontal. The mass of P is 5.0 kg. The size of P may be neglected. There is no friction in the problem. The arm exerts a force F on P perpendicular to AB. The slot exerts a normal force N on P: P is in contact with the outside of the guide as shown in the figure. At the instant shown: 0 = 67.5° 0 = 3.346 rad/s = = 6.337 rad/s² r = 1.0854 m i = 1.5415 m/s i = 0.7298 m/s? dr / d0 = 0.4607 m a) Draw a large, clear free body diagram for P at the instant shown. b) Determine the angle, w, between ü, and ū, at the instant shown. c) etermine numerical values for the radial and transverse (angular) components acceleration of P at the instant shown. d) Determine equations of motion for P at the instant shown. e) Determine numerical values for the magnitude of F and the magnitude of N at the instant shown.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.46P
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![In the diagram below, particle P travels along the curved guide due to the counterclockwise rotation of
the arm AB. Motion is in the vertical plane. The guide is described by the equation r(0) = ve m where
O is in radians measured from the horizontal. The mass of P is 5.0 kg. The size of P may be neglected.
There is no friction in the problem.
The arm exerts a force F on P perpendicular to AB. The slot exerts a normal force N on P: P is in
contact with the outside of the guide as shown in the figure.
At the instant shown:
0 = 67.5°
0 = 3.346 rad/s
=
= 6.337 rad/s²
r = 1.0854 m
i = 1.5415 m/s
i = 0.7298 m/s?
dr / d0 = 0.4607 m
a) Draw a large, clear free body diagram for P at the instant shown.
b) Determine the angle, w, between ü, and ū, at the instant shown.
c)
etermine numerical values for the radial and transverse (angular) components
acceleration of P at the instant shown.
d) Determine equations of motion for P at the instant shown.
e) Determine numerical values for the magnitude of F and the magnitude of N at the instant
shown.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ff89695-6c30-407a-ba9b-f74d56e40441%2F544f3117-3df2-4d74-8c40-636f44bad725%2F2sqmcrw_processed.png&w=3840&q=75)
Transcribed Image Text:In the diagram below, particle P travels along the curved guide due to the counterclockwise rotation of
the arm AB. Motion is in the vertical plane. The guide is described by the equation r(0) = ve m where
O is in radians measured from the horizontal. The mass of P is 5.0 kg. The size of P may be neglected.
There is no friction in the problem.
The arm exerts a force F on P perpendicular to AB. The slot exerts a normal force N on P: P is in
contact with the outside of the guide as shown in the figure.
At the instant shown:
0 = 67.5°
0 = 3.346 rad/s
=
= 6.337 rad/s²
r = 1.0854 m
i = 1.5415 m/s
i = 0.7298 m/s?
dr / d0 = 0.4607 m
a) Draw a large, clear free body diagram for P at the instant shown.
b) Determine the angle, w, between ü, and ū, at the instant shown.
c)
etermine numerical values for the radial and transverse (angular) components
acceleration of P at the instant shown.
d) Determine equations of motion for P at the instant shown.
e) Determine numerical values for the magnitude of F and the magnitude of N at the instant
shown.
![В
A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ff89695-6c30-407a-ba9b-f74d56e40441%2F544f3117-3df2-4d74-8c40-636f44bad725%2Fmg56dt_processed.png&w=3840&q=75)
Transcribed Image Text:В
A
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