,ECS2606 Assignment 1 (COMPLETE ANSWERS) Semester 2
2024 (583390) - DUE 15 August 2024 ; 100% TRUSTED
Complete, trusted solutions and explanations.
1. Discuss and diagrammatically illustrate the fundamental
balance principle. [10] Read the excerpt below and answer the
question that follows: Africa has made significant strides in the
growth of its solar energy industry in recent years, with the
continent seeing an increase of over 1.8W in new solar
installations, primarily led by Egypt, South Africa, Kenya,
Namibia, and Ghana. In order to simultaneously speed up energy
access and support sustainable economic growth, Africa’s
renewable energy mix has increasingly switched away from
conventional hydropower and thermal facilities to renewable
alternatives.
Fundamental Balance Principle
Discussion
The fundamental balance principle in systems, particularly in
physics and engineering, refers to the concept that for any system
to be in equilibrium, the total forces or moments acting on the
system must be balanced. This principle is crucial in various
applications, from mechanical structures to electrical circuits, and
even in resource management.
In Mechanics:
• Forces Balance: For an object to be in static equilibrium, the
sum of all forces acting on it must be zero. This means that
the forces acting in one direction must be balanced by forces
acting in the opposite direction.
, • Moment Balance: The sum of all moments (torques) about
any point must be zero for rotational equilibrium. This means
that the clockwise moments must be equal to the
counterclockwise moments.
In Electrical Circuits:
• Kirchhoff’s Voltage Law (KVL): The sum of the electrical
potential differences (voltages) around any closed circuit
loop must be zero.
• Kirchhoff’s Current Law (KCL): The sum of currents
entering a junction must equal the sum of currents leaving
the junction.
In Resource Management:
• Sustainability Balance: Resources must be used in a way
that balances current needs with future availability, ensuring
that consumption does not exceed the regenerative capacity
of the resource base.
Diagrammatic Illustration
Below is a basic diagrammatic representation of the fundamental
balance principle in mechanics:
1. Force Balance Example:
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↑ F1
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|----→ Object
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