A metal rod of mass M = 6 kg and length L = 0.5 m, is attached at one end by a hinge to a vertical wall. It is initially supported at the other end so that it is in static equilibrium and lies horizontally. hinge support (a) (i) Determine the magnitude and direction of the force on the bar due to the support. (ii) Determine the magnitude and direction of the force on the bar due to the hinge. (b) Show that the moment of inertia of the bar about the end that is attached to the wall is Iy = 0.5 kg m2 (c) The support is removed and the bar swings down about the end attached to the hinge. What is the acceleration of a point on the end of the rod just after the support is removed (at this instant the acceleration vector will point directly down)? Give your result in terms of g.

A metal rod of mass M = 6 kg and length L = 0.5 m, is attached at one end by a hinge to a vertical wall. It is initially supported at the other end so that it is in static equilibrium and lies horizontally. hinge support (a) (i) Determine the magnitude and direction of the force on the bar due to the support. (ii) Determine the magnitude and direction of the force on the bar due to the hinge. (b) Show that the moment of inertia of the bar about the end that is attached to the wall is Iy = 0.5 kg m2 (c) The support is removed and the bar swings down about the end attached to the hinge. What is the acceleration of a point on the end of the rod just after the support is removed (at this instant the acceleration vector will point directly down)? Give your result in terms of g.

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

A metal rod of mass M = 6 kg and length L = 0.5 m, is attached at one end by a hinge to a vertical wall. It is initially supported at the other end so that it is in static equilibrium and
lies horizontally.
hinge
support
(a) (i) Determine the magnitude and direction of the force on the bar due to the support.
(ii) Determine the magnitude and direction of the force on the bar due to the hinge.
(b) Show that the moment of inertia of the bar about the end that is attached to the wall is ly = 0.5 kg m2
(c) The support is removed and the bar swings down about the end attached to the hinge. What is the acceleration of a point on the end of the rod just after the support is
removed (at this instant the acceleration vector will point directly down)? Give your result in terms of g.

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