A small block B, which has a mass m, is fixed at the end of arm OA, which has a length r. The arm rotates in a vertical plane, defined by an angle e, at an angular velocity . The gravitational acceleration g acts downward. Determine the expression of the fastening force F that attaches the block to the arm and acts in the "normal" direction (i.e. in the AO direction, toward point O). Express the answer using the polar coordinates (e, and ee), and only the variables given in the problem; m, g, r, 0, 0. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process.

A small block B, which has a mass m, is fixed at the end of arm OA, which has a length r. The arm rotates in a vertical plane, defined by an angle e, at an angular velocity . The gravitational acceleration g acts downward. Determine the expression of the fastening force F that attaches the block to the arm and acts in the "normal" direction (i.e. in the AO direction, toward point O). Express the answer using the polar coordinates (e, and ee), and only the variables given in the problem; m, g, r, 0, 0. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process.

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

Problem #3)
A small block B, which has a mass m, is fixed at the end of
arm OA, which has a length r. The arm rotates in a vertical plane,
defined by an angle 0, at an angular velocity ė. The gravitational
acceleration g acts downward. Determine the expression of the
fastening force F that attaches the block to the arm and acts in the
"normal" direction (i.e. in the AO direction, toward point O). Express
the answer using the polar coordinates (e, and eo), and only the
variables given in the problem; m, g, r, 0, 0. Include and present
the Free Body Diagram and Inertial Response Diagram as part of
the solving process.
O
0
9↓
r
B
A

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