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A thin uniform semicircular plate of radius R and mass m (link 1) is hinged at A and B to a clevis which rotates about the vertical axis at point C, as indicated in the figure. The vertical rod (OC) can translate the system up and down, so h is not a constant. The plate rotates about AB. The angle of rotation between the plane of the plate and the horizontal is ß (see figure). Assume the vertical rod is massless. Consider the thickness of the plate is negligeable and ignore friction at the joints.

A thin uniform semicircular plate of radius R and mass m (link 1) is hinged at A and B to a clevis which rotates about the vertical axis at point C, as indicated in the figure. The vertical rod (OC) can translate the system up and down, so h is not a constant. The plate rotates about AB. The angle of rotation between the plane of the plate and the horizontal is ß (see figure). Assume the vertical rod is massless. Consider the thickness of the plate is negligeable and ignore friction at the joints.

Elements Of Electromagnetics
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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Solve only part B ASAP.

Athin uniform semicircular plate of radius R and mass m (link 1) is hinged at A and B to a clevis which rotates about the vertical axis at point C, as indicated in the figure. The vertical rod (OC) can translate the system up and down, so h is not a constant. The plate rotates about AB. The angle of rotation between the plane of the plate and the horizontal is ß (see figure). Assume the vertical rod is massless. Consider the thickness of the plate is negligeable and ignore friction at the joints. Yo x2 Questions 2a) Determine the time derivative of the absolute linear momentum (p) of link 1 in frame 2b) Determine the time derivative of the absolute angular momentum of link 1 (h), about its centre of mass, in frame AS h R B
Transcribed Image Text:Athin uniform semicircular plate of radius R and mass m (link 1) is hinged at A and B to a clevis which rotates about the vertical axis at point C, as indicated in the figure. The vertical rod (OC) can translate the system up and down, so h is not a constant. The plate rotates about AB. The angle of rotation between the plane of the plate and the horizontal is ß (see figure). Assume the vertical rod is massless. Consider the thickness of the plate is negligeable and ignore friction at the joints. Yo x2 Questions 2a) Determine the time derivative of the absolute linear momentum (p) of link 1 in frame 2b) Determine the time derivative of the absolute angular momentum of link 1 (h), about its centre of mass, in frame AS h R B
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