3-Phase Servo AVR (AC Voltage Stabilizer) — Parts, Tests, Repair & Maintenance
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Friction: The resistive force occurring when two surfaces interact, opposing relative motion.
Static Friction: The frictional force that must be overcome to initiate motion; it increases with applied force up to a maximum (limiting friction).
Dynamic (Kinetic) Friction: The frictional force acting on an object already in motion; it is generally lower than static friction.
Figure: Illustration showing friction between two surfaces.
The coefficient of limiting friction (μl) is the ratio of the maximum static frictional force (Fmax) to the normal force (N) acting on an object:
μl = Fmax / N
This value indicates the “stickiness” between surfaces. A higher value means more friction; a lower value means less friction.
Figure: Diagram illustrating forces used to determine the coefficient of limiting friction.
Friction has both beneficial and detrimental effects. While it provides necessary traction and stability, it also causes energy loss and wear.
Advantages of Friction: It enables vehicles to grip the road, prevents slipping, and is essential for many everyday actions such as walking.
Disadvantages of Friction: It results in energy loss (as heat), causes wear on surfaces, and reduces machine efficiency.
Reduction of Friction: Friction can be reduced using lubricants (oils, greases), ball bearings, and by polishing surfaces to make them smoother.
Figure: Illustration showing the pros and cons of friction.
Fluids experience friction through viscosity – a measure of resistance to flow. Terminal velocity is reached when the gravitational force on a falling object equals the drag force, and Stoke’s Law describes the drag force on spherical objects in a viscous medium.
Viscosity: A measure of a fluid's resistance to flow; higher viscosity means the fluid is thicker and flows more slowly.
Terminal Velocity: The constant speed an object reaches when the force of gravity is balanced by the drag force (including friction and air resistance).
Stoke’s Law: For a sphere moving through a viscous fluid, the drag force is given by:
Fd = 6πηrv
Where:
Figure: Diagram illustrating viscosity and terminal velocity.
This section presents six calculation worked examples to illustrate friction concepts and the application of Stoke’s Law.
Example 1: Maximum Static Friction Force
Given: Normal force (N) = 100 N, coefficient of limiting friction (μl) = 0.5
Calculation: Fmax = μl × N = 0.5 × 100 = 50 N
Example 2: Kinetic Friction Force
Given: Normal force (N) = 150 N, coefficient of kinetic friction (μk) = 0.3
Calculation: Fk = μk × N = 0.3 × 150 = 45 N
Example 3: Drag Force Using Stoke’s Law
Given: A sphere with radius r = 0.05 m falls in a fluid with viscosity η = 0.2 Pa·s at velocity v = 2 m/s
Calculation: Fd = 6πηrv = 6 × π × 0.2 × 0.05 × 2 ≈ 0.38 N
Example 4: Determining Viscosity from Measured Drag
Given: A sphere (r = 0.1 m) falls at v = 1 m/s, and measured drag force Fd = 1.2 N
Calculation: η = Fd / (6πrv) = 1.2 / (6 × π × 0.1 × 1) ≈ 0.64 Pa·s
Example 5: Friction Force on a Vehicle
Given: Mass of car = 1200 kg, Normal force N = 1200 × 9.8 = 11760 N, coefficient of friction = 0.8
Calculation: Friction force = 0.8 × 11760 = 9408 N
Example 6: Kinetic Friction on a Sliding Block
Given: Mass = 30 kg, Normal force = 30 × 9.8 = 294 N, coefficient of kinetic friction = 0.4
Calculation: Friction force = 0.4 × 294 = 117.6 N
Total time: 900 seconds
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