**Problem Statement:**A uniform rod BC of mass 4 kg is connected to a collar A by a 250-mm cord AB. Neglecting the mass of the collar and cord, determine:(a) The smallest constant acceleration \( a_A \) for which the cord and the rod lie in a straight line.(b) The corresponding tension in the cord.**Diagram Explanation:**The illustration depicts a mechanical system consisting of a rod BC and a collar A. A cord AB connects the collar to the rod. The diagram details the following measurements:- The length of cord AB is 250 mm.- The vertical distance from point B to the point directly below A is specified as 400 mm.- The complete vertical length from point A to C is noted as 350 mm.In the diagram:- The collar A experiences a horizontal acceleration denoted as \( a_A \).- There is an applied force \( P \) acting horizontally on the collar.The goal is to calculate the minimum acceleration \( a_A \) necessary for the cord and rod to maintain alignment in a straight line, as well as the corresponding tension in the cord.

Given Datam=4kgAB=250mmBC=400mm Free Body Diagram

A uniform rod BC of mass 4 kg is connected to a collar A by a 250-mm cord AB. Neglecting the mass of the collar and cord, determine (a) the smallest constant acceleration aa for which the cord and the rod lie in a straight line, (b) the corresponding A 250 mm В 400 mm tension in the cord. 350 mm C

A uniform rod BC of mass 4 kg is connected to a collar A by a 250-mm cord AB. Neglecting the mass of the collar and cord, determine (a) the smallest constant acceleration aa for which the cord and the rod lie in a straight line, (b) the corresponding A 250 mm В 400 mm tension in the cord. 350 mm C

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

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

**Problem Statement:**

A uniform rod BC of mass 4 kg is connected to a collar A by a 250-mm cord AB. Neglecting the mass of the collar and cord, determine:

(a) The smallest constant acceleration \( a_A \) for which the cord and the rod lie in a straight line.

(b) The corresponding tension in the cord.

**Diagram Explanation:**

The illustration depicts a mechanical system consisting of a rod BC and a collar A. A cord AB connects the collar to the rod. The diagram details the following measurements:

- The length of cord AB is 250 mm.
- The vertical distance from point B to the point directly below A is specified as 400 mm.
- The complete vertical length from point A to C is noted as 350 mm.

In the diagram:

- The collar A experiences a horizontal acceleration denoted as \( a_A \).
- There is an applied force \( P \) acting horizontally on the collar.

The goal is to calculate the minimum acceleration \( a_A \) necessary for the cord and rod to maintain alignment in a straight line, as well as the corresponding tension in the cord.

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