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

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.8P: In some applications dealing with very high speeds, the velocity is measured in mm/s. Convert 8mm/s...

See similar textbooks