Motion

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What is Motion?

Motion is the change in position of an object over time.

Motion is the change in position of an object over time. It is a fundamental concept in physics that describes how objects move in relation to a reference point. It can occur in different forms such as linear, rotational, or oscillatory, and is described by factors like speed, velocity, and acceleration, depending on the context.

Key Features of Motion

    • Types of Motion: Motion can be classified into linear, rotational, periodic, and translational motion.
    • Key parameters to describe motion: Motion is described by Displacement, distance, velocity, speed, and acceleration, each with specific definitions and implications.
    • Newton’s Laws: Newton’s laws explain the principles of motion.
    • Reference Frames: Reference frames highlight the relative nature of motion.
    • Graphical Representation: Motion can be represented graphically.

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Types of Motion

Following are the different types of Motion, each with distinct characteristics and examples.

Linear Motion:

This occurs when an object moves along a straight path. It can be described by key parameters such as displacement, velocity, and acceleration, explained below.

E.g.:

    • Motion of a car on a straight road.
    • Moving of a train in straight rail-tracks.
    • Elevators/Lift.
    • Playing Slide.
    • Sliding Door.
Rotational Motion:

This involves an object moving around a fixed point or axis.

E.g.:

    • Spinning of a wheel.
    • Orbiting of planets around the Sun.
    • The motion of the blades of the helicopter.
    • A door, swiveling on its hinges as you open or close it.
    • A spinning top.
    • The motion of a Ferris wheel in an amusement park.
Periodic Motion:

This type of motion repeats at regular intervals.

E.g.:

    • The swinging of a pendulum.
    • The oscillation of a spring.
    • A rocking chair.
    • A bouncing ball.
    • A vibrating tuning fork.
    • A swing in motion.
    • The Earth in its orbit around the Sun.
    • A water wave. 
Translational Motion:

This refers to the movement of an object from one location to another, where all parts of the object move in the same direction.

E.g.:

    • A person walking along the street.
    • A ball rolling on the ground.
    • A child sliding down a slope.
    • Pulling out a drawer from a table.
    • A coin moving along a carrom board.
    • A mango falling from a tree.

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Key Parameters to Describe Motion

We can describe motion with the following key parameters. We define each parameter and state its implications.

    1. Displacement: Displacement is the shortest distance from the initial position to the final position of an object, along with the direction. It is a vector quantity.
    2. Distance: Distance refers to the total path length travelled by an object, regardless of direction. It is a scalar quantity.
    3. Velocity: Velocity is the rate of change of displacement with respect to time. It is a vector quantity that includes both speed (magnitude) and direction.
    4. Speed: Speed is the rate at which an object covers distance. It is a scalar quantity and does not include direction.
    5. Acceleration: Acceleration is the rate of change of velocity with respect to time. It can occur when an object speeds up, slows down, or changes direction.

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Newton’s Laws of Motion

Newton’s laws provide a framework for understanding motion: Newton’s laws of motion relate an object’s motion to the forces acting on it, and are first formulated by English physicist and mathematician Isaac Newton.

Newton’s first law: The law of inertia

The first law explains that an object will remain at rest, or in its state of motion unless acted upon by a net external force.

Newton’s second law: F = ma

The second law quantifies how the motion of an object changes when a force is applied (F = ma).

    • F is force, m is mass and a is acceleration.

We will learn about force in the lesson Force.

Newton’s third law: the law of action and reaction

The third law states that for every action, there is an equal and opposite reaction.

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Reference Frames

Motion is relative and depends on the observer’s frame of reference.

The observer is a key part of the frame of reference because their viewpoint determines the state of the object being observed. 
 
Different frames of reference can move relative to each other. For example,
    • a passenger on a moving train may perceive themselves as at rest while observing objects outside moving past them. Conversely, an observer standing on the platform sees the train in motion.
    • if you throw a ball while on a train moving at a constant speed, the ball will appear to travel vertically to an observer on the train, but in a parabola to an observer on the platform. 
Einsteinian relativity
In Einsteinian relativity, frames of reference are used to describe the connection between an observer in motion and the phenomenon they are observing. 
 

Graphical Representation of Motion

 Motion can be represented graphically using

    • Position-time graphs.
    • Velocity-time graphs.
Position-time graphs

In the Position-time graph, the distance/displacement of a body is plotted against time. Position-time graph, also known as a Displacement-time graph shows how an object’s position changes over time.

    • The horizontal axis (x-axis) represents time, while the vertical axis (y-axis) represents position.
    • The slope of a position-time graph at any instant is equal to the velocity of the body at that instant. (The slope of a graph is the measure of steepness of the graph)
    • The position-time graph for a body in a uniform motion is a straight line inclined to the x-axis with a non-zero slope.
    • The position-time graph of a body in a uniformly accelerated motion is in the shape of a parabola.

E.g.

    • If you’re driving your car on a highway at a constant speed, the graph will be a straight line with a constant slope.
    • If you’re slowing down to stop at a traffic light, the graph curves downwards as you decelerate.
    • When you stop, the graph will be a horizontal line when the car is stationary at the traffic light.
Velocity-time graphs

In the Velocity-time graph, the velocity of a body is plotted against time.

    • The horizontal axis (x-axis) represents time, while the vertical axis (y-axis) represents velocity.
    • The slope of the line on a velocity-time graph indicates the object’s acceleration.
    • If the graph is a horizontal line, it means the object is moving at a constant velocity.
    • An upward-sloping graph indicates positive acceleration (speeding up), while a downward-sloping graph indicates negative acceleration (slowing down).
    • Changing Velocity: Curves in the graph represent changing acceleration.

E.g.

    • The velocity-time graph of an object in free fall will be a straight line with a constant slope, indicating constant acceleration due to gravity.
    • For a car accelerating at a constant rate, the graph will show a straight line sloping upwards. When it comes to a stop, the line will slope downwards.

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Applications of Motion

Motion is all around us, enabling everything from the simple act of walking down the street to the marvels of modern technology.

Here are some key applications of motion across different fields:

Everyday Life
    • Transportation: Cars, trains, planes, and bicycles rely on the principles of motion.
    • Sports: Understanding motion helps athletes improve their performance, from the trajectory of a football to the spin of a cricket ball.
    • Household: Appliances like washing machines, fans, and vacuum cleaners operate based on mechanical motion.
Science and Technology
    • Robotics: Robots use precise movements to perform tasks, from assembling products to exploring Mars.
    • Engineering: Bridges and buildings must account for motion due to wind, earthquakes, and other forces.
    • Medicine: Imaging techniques, such as MRI and CT scans, rely on motion principles to create detailed images of the inside of the body.
Natural Phenomena
    • Astronomy: The motion of celestial bodies, like planets and stars, is studied to understand the universe.
    • Geology: The movement of tectonic plates causes earthquakes and shapes the Earth’s surface.
    • Biology: The motion of muscles and limbs is crucial for all living organisms, from the flight of birds to the beating of human hearts.
Industrial Applications
    • Manufacturing: Assembly lines use conveyor belts and robotic arms to move products through various stages of production.
    • Energy: Wind turbines and hydroelectric plants convert the motion of wind and water into electricity.
    • Construction: Cranes and bulldozers use motion to lift and move heavy materials.
Space Exploration
    • Rocketry: Rockets rely on the principles of motion to break free from Earth’s gravity and explore space.
    • Satellites: Satellites orbit Earth and other celestial bodies, providing communication, navigation, and observational data.

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Video

Glossary of Key Terms

Recap of the Key Terms in Motion
    • Acceleration: The rate of change of velocity with respect to time; a vector quantity.
    • Centrifugal Force: An apparent outward force experienced by an object moving in a circular path, observed in the rotating frame of reference.
    • Centripetal Force: A force that acts on an object moving in a circular path and is directed towards the centre of the circle.
    • Displacement: The change in position of an object from its initial to its final location; a vector quantity having both magnitude and direction.
    • Force: An interaction that, when unopposed, will change the motion of an object.
    • Frame of Reference: A coordinate system from which motion is observed and measured.
    • Frictional Force: A force that opposes the motion or attempted motion of an object when two surfaces are in contact.
    • Gravitational Force: The force of attraction between two objects with mass.
    • Linear Motion: Motion along a straight path.
    • Motion: The change in position of an object with respect to time.
    • Newton’s First Law of Motion (Law of Inertia): An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.
    • Newton’s Second Law of Motion: The acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass (F=ma).
    • Newton’s Third Law of Motion: For every action, there is an equal and opposite reaction.
    • Non-Uniform Motion: Motion where the speed or direction changes over time.
    • Oscillatory Motion: Repetitive back-and-forth movement around a central point.
    • Projectile Motion: The motion of an object thrown or launched into the air, subject to gravity.
    • Relative Motion: The motion of an object as observed from a particular frame of reference.
    • Rotational Motion: Motion involving an object spinning around an axis.
    • Uniform Motion: Motion at a constant speed in a straight line.
    • Velocity: The rate of change of displacement with respect to time, indicating both speed and direction; a vector quantity.

Quiz

Recap the concepts you have learnt. Try to answer the questions. You can find the answer to any question by clicking on the icon.

Motion is the change in an object’s position over a period of time. For example, a person walking from one room to another is demonstrating motion as their location changes relative to their surroundings.

Linear motion involves movement along a straight path (e.g., a train on a straight track). Rotational motion involves spinning around an axis (e.g., a spinning top). Oscillatory motion involves back-and-forth movement around a central point (e.g., a swinging pendulum).

Displacement is the change in an object’s position. Velocity is the rate at which this displacement occurs, including direction. Acceleration is the rate at which an object’s velocity changes; therefore, acceleration indicates how quickly an object speeds up, slows down, or changes direction.

Newton’s first law, the law of inertia, states that an object at rest will remain at rest, and an object in motion will remain in motion with the same velocity, unless acted upon by a net force. For example, a book lying on a table will stay there until someone picks it up or pushes it.

According to Newton’s second law (F=ma), the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that a larger force will produce a larger acceleration, and a larger mass will result in a smaller acceleration for the same force.

Newton’s third law states that for every action, there is an equal and opposite reaction. For example, when you push against a wall (action), the wall exerts an equal force back on you in the opposite direction (reaction).

Uniform linear motion occurs when an object travels at a constant speed in a straight line, covering equal distances in equal time intervals (e.g., a car travelling at a steady 60 mph on a straight highway).

Non-uniform linear motion involves changes in speed or direction along a straight line, meaning unequal distances are covered in equal time intervals (e.g., a car accelerating from a stop).

Frictional force is a force that opposes the motion or attempted motion of an object when two surfaces are in contact. Friction is beneficial when walking as it provides the grip needed to move forward. Friction is a hindrance in the moving parts of a machine as it can cause wear and tear and reduce efficiency.

Projectile motion is the curved path followed by an object that has been thrown or launched into the air. After the initial force, the primary force influencing its trajectory is gravity, which pulls the object downwards.

Relative motion describes the motion of an object as observed from a particular frame of reference (another moving or stationary object). The frame of reference is important because the observed motion of an object can appear different depending on the motion of the observer. For example, a person sitting on a moving train sees objects outside the window moving backward, even though those objects might be stationary relative to the ground.

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