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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

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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.

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