The uniform slender prismatic rod AB of length 2 m. may move freely in a vertical plane as shown in Figure 5. End A is pinned freely to a block which is confined to move along the smooth circular groove with its centre at O. End B rests on the smooth horizontal floor. If the bar is released from rest with an initial angular acceleration of a = 1.5 rad.s² in the position shown, (a) identify the type of ensuing motion of the bar, (b) (c) draw a detailed kinematic diagram of the rod clearly showing all the acceleration components operating on the rod at the instant of its release, and determine the acceleration of end B in both magnitude (clearly indicate its appropriate unit) and direction.

The uniform slender prismatic rod AB of length 2 m. may move freely in a vertical plane as shown in Figure 5. End A is pinned freely to a block which is confined to move along the smooth circular groove with its centre at O. End B rests on the smooth horizontal floor. If the bar is released from rest with an initial angular acceleration of a = 1.5 rad.s² in the position shown, (a) identify the type of ensuing motion of the bar, (b) (c) draw a detailed kinematic diagram of the rod clearly showing all the acceleration components operating on the rod at the instant of its release, and determine the acceleration of end B in both magnitude (clearly indicate its appropriate unit) and direction.

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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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

5.
The uniform slender prismatic rod AB of length 2 m. may move freely in a
vertical plane as shown in Figure 5. End A is pinned freely to a block which is
confined to move along the smooth circular groove with its centre at O. End B
rests on the smooth horizontal floor.
If the bar is released from rest with an initial angular acceleration of a = 1.5
rad.s² in the position shown,
(a)
identify the type of ensuing motion of the bar,
(b)
(c)
draw a detailed kinematic diagram of the rod clearly showing all the
acceleration components operating on the rod at the instant of its
release, and
determine the acceleration of end B in both magnitude (clearly indicate
its appropriate unit ) and direction.
You must present all the relevant calculations including any diagrams in
a clear, concise and systematic way.
B
1450
Figure 5
A

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