The device shown is a simplified model of an amusement-park ride in which passengers are rotated about the vertical axis of the central post at an angular speed Q while sitting in a pod which is capable of rotating the occupants 360° about the longitudinal axis of the connecting arm attached to the central collar. Determine the percent increase n in angular velocity between configurations (a) and (b), where the passenger pod has rotated 90° about the connecting arm. For the model, m = 1.1 kg, r= 70 mm, / = 315 mm, and L = 640 mm. The post and connecting arms rotate freely about the z-axis at an initial angular speed 2 = 125 rev/min and have a combined mass moment of inertia about the z-axis of 38(10-3) kg m2.

The device shown is a simplified model of an amusement-park ride in which passengers are rotated about the vertical axis of the central post at an angular speed Q while sitting in a pod which is capable of rotating the occupants 360° about the longitudinal axis of the connecting arm attached to the central collar. Determine the percent increase n in angular velocity between configurations (a) and (b), where the passenger pod has rotated 90° about the connecting arm. For the model, m = 1.1 kg, r= 70 mm, / = 315 mm, and L = 640 mm. The post and connecting arms rotate freely about the z-axis at an initial angular speed 2 = 125 rev/min and have a combined mass moment of inertia about the z-axis of 38(10-3) kg m2.

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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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

The device shown is a simplified model of an amusement-park ride in which passengers are rotated about the vertical axis of the
central post at an angular speed Q while sitting in a pod which is capable of rotating the occupants 360° about the longitudinal axis
of the connecting arm attached to the central collar. Determine the percent increase n in angular velocity between configurations (a)
and (b), where the passenger pod has rotated 90° about the connecting arm. For the model, m = 1.1 kg, r = 70 mm, I = 315 mm, and L =
640 mm. The post and connecting arms rotate freely about the z-axis at an initial angular speed 2 = 125 rev/min and have a
combined mass moment of inertia about the z-axis of 38(10-3) kg m?.
%3D
(b)
Ω
(a)
-Frame
Pod
Answer: n =
%

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