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
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
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