Understanding Motion

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Questions and Answers

What is the primary factor that determines the time period (T) of a simple pendulum?

  • Amplitude of oscillation
  • Air resistance
  • Length of the string (correct)
  • Mass of the bob

What is the term used to describe the distance from the point of support to the centre of the bob in a simple pendulum?

  • Displacement
  • Amplitude
  • Effective length (correct)
  • Mean position

If a simple pendulum has a length (l) of 1 meter and the acceleration due to gravity (g) is 9.8 m/s², what is the time period (T) of the pendulum?

  • 6.28 seconds
  • 1 second
  • 3.14 seconds
  • 2.01 seconds (correct)

What is an oscillation in the context of a simple pendulum?

<p>Motion from one extreme position to the other and back to the initial position (D)</p> Signup and view all the answers

What angle is required to set a simple pendulum oscillating?

<p>Less than 4° (C)</p> Signup and view all the answers

What is the time period of a seconds pendulum?

<p>2 seconds (A)</p> Signup and view all the answers

In the simple pendulum, what is the mean position?

<p>The middle position between the highest and lowest positions (D)</p> Signup and view all the answers

Which condition must be met for a simple pendulum to be considered as exhibiting simple harmonic motion?

<p>The amplitude must be less than 4° (A)</p> Signup and view all the answers

What two variables primarily affect the time period (T) of a simple pendulum?

<p>Length of the string and acceleration due to gravity (D)</p> Signup and view all the answers

What happens when a pendulum bob is pulled to the side and released?

<p>The pendulum oscillates between two extreme positions (B)</p> Signup and view all the answers

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Study Notes

Motion

  • Everything around us is either in motion or at rest.
  • Motion can be judged by comparing an object's position with respect to stationary landmarks.
  • When an object's position relative to its surroundings does not change with time, it is at rest.
  • When an object's position relative to its surroundings changes with time, it is in motion.

Motion is Relative

  • All motion is relative.
  • A boy sitting in a moving bus is at rest relative to the bus, but in motion relative to the road.

Types of Motion

  • Random Motion: Motion without a pattern, e.g., a kite or a mosquito.
  • Regular Motion: Motion that follows a pattern.
  • Translatory Motion: Motion in a straight line, e.g., a bus or a ball thrown straight up or down.
  • Rectilinear Motion: Motion along a straight line, e.g., vehicles on a straight road or athletes running on a track.
  • Curvilinear Motion: Motion along a curved path, e.g., water from a garden hose.

Motion in Physics

Curvilinear Motion

  • Motion of a body along a curved path, e.g., a vehicle turning from one road to another.

Rotatory Motion

  • Motion of an object around an axis passing through itself, e.g., the rotation of the earth or an electrical fan.
  • Examples: wheels of a car, food processors, and Ferris wheels.

Oscillatory Motion

  • Motion of a pendulum, a swing, or a bell hanging by a cord.
  • Not all swinging motions are oscillatory, e.g., swinging arms while walking.

Circular Motion

  • Motion of a body around a fixed point, e.g., a string rotating around a hand.

Periodic Motion

  • Any motion that repeats itself after a fixed interval, e.g., a clock's hands or the earth around the sun.
  • Oscillatory motion is a type of periodic motion.

Simple Pendulum

  • Consists of a small, heavy sphere (bob) suspended by a light string from a fixed support.
  • Can oscillate freely when released from a small angle (< 4°) with the vertical.
  • Mean Position: The position of the pendulum at rest, with the string vertical.
  • Effective Length (l): The distance from the point of support to the centre of the bob.
  • Amplitude: The angle of oscillation (< 4°) with the vertical.

Time Period

  • The total time taken by one complete oscillation of a simple pendulum.
  • Related to the length (l) and acceleration due to gravity (g) by the formula: T = 2π√(l/g)
  • A pendulum with a time period of 2 seconds is called a seconds pendulum, used in clocks at one-second intervals.

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