A thin disc of mass m and radius R is rigidly connected to slender member OC of length L. Member OC is perpendicular to the plane of disc, makes an angle 0 with the horizontal and has negligible inertia. The disc rolls without slipping on the ground. The system comprising of member OC and disc rotates about the vertical axis passing through fixed material point O with constant angular velocity wo. Calculate the following quantities at the instant shown. wo A (а) The components of angular velocity of the disc in fixed frame, wiF, with respect to ê1, êz and êz axes (b) The components of angular acceleration of the disc in fixed frame, wF, with respect to ê1, ê, and êg axes (c) ' The components of resultant force and couple applied at point O on the disc plus member OC system with respect to ê1, ê2 and ê3 axes

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
icon
Related questions
Question

Solve all subparts. 

A thin disc of mass m and radius R is rigidly connected to slender member OC of length L. Member OC is perpendicular to the plane of disc,
makes an angle 0 with the horizontal and has negligible inertia. The disc rolls without slipping on the ground. The system comprising of member OC
and disc rotates about the vertical axis passing through fixed material point O with constant angular velocity wo. Calculate the following quantities at
the instant shown.
Wo
(a)
The components of angular velocity of the disc in fixed frame, wF, with respect to ê, ê2 and êg axes
(b)
The components of angular acceleration of the disc in fixed frame, wF, with respect to ê1, ê, and êg axes
(c) '
The components of resultant force and couple applied at point O on the disc plus member OC system with respect to ê, ê2 and ê3
аxes
Transcribed Image Text:A thin disc of mass m and radius R is rigidly connected to slender member OC of length L. Member OC is perpendicular to the plane of disc, makes an angle 0 with the horizontal and has negligible inertia. The disc rolls without slipping on the ground. The system comprising of member OC and disc rotates about the vertical axis passing through fixed material point O with constant angular velocity wo. Calculate the following quantities at the instant shown. Wo (a) The components of angular velocity of the disc in fixed frame, wF, with respect to ê, ê2 and êg axes (b) The components of angular acceleration of the disc in fixed frame, wF, with respect to ê1, ê, and êg axes (c) ' The components of resultant force and couple applied at point O on the disc plus member OC system with respect to ê, ê2 and ê3 аxes
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Thermodynamic Properties
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY