Simple Pendulum Laws
- Law of Mass: The time of oscillation does not depend on the mass of the bob.
- Law of Amplitude: Time of oscillation does not depend on amplitude.
- Nature of Material: The time of oscillation does not depend on the material of the bob.
- Law of Length: Time of oscillation depends on the length of the pendulum (longer pendulum = slower oscillation).
Newton’s Laws of Motion
1. First Law (Law of Inertia): An object remains at rest or in uniform motion unless acted upon by an unbalanced force.
2. Second Law: Acceleration depends on both the net force acting on the object and its mass.
3. Third Law: For every action, there is an equal and opposite reaction.
Pendulum Terms
- Point of suspension: The point where the pendulum hangs.
- Length of pendulum: Distance between the point of suspension and the centre of the bob.
- Amplitude: Maximum displacement from the mean position to the extreme position.
- Point of oscillation: The centre of the mean position.
- Mean position: The central resting position of the pendulum.
- Extreme position: The farthest point reached on either side during oscillation.
Rest and Motion
- Rest: When an object is not moving.
- Motion: When an object is moving.
Types of Motion
- Oscillatory motion: Back and forth movement (e.g., swing).
- Vibratory motion: To and fro movement in a fixed position; body remains fixed (e.g., guitar string).
- Periodic motion: Repeated motion at regular intervals (e.g., clock pendulum, heartbeat).
- Uniform motion: Equal distance covered in equal intervals of time along the same path (e.g., car moving at constant speed).
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