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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.4.3P: Solve the preceding problem for the following data: b = 6 in., b = 10 in, L = 110 ft, tan a = 1/3,...

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Question

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

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