Pendulum Motion

A comprehensive set of 100 flashcards focused on key concepts in pendulum motion and the associated physics principles.

Simple Pendulum

A mass (bob) suspended from a light string, swinging back and forth along a circular arc.

Bob

The relatively massive object in a simple pendulum.

Resting Position

The vertical position of the bob when the string is vertical.

Periodic Motion

Repetitive and regular motion where each cycle has the same period.

Fgrav

The force of gravity acting on the bob, constant and directed downward.

Ftens

The tension force acting upwards towards the pivot point, variable in magnitude.

Fnet

The net force that causes an acceleration; it is the vector sum of all forces acting on the bob.

Centripetal Acceleration

The acceleration directed towards the pivot as the bob moves along a circular path.

Tangential Acceleration

The acceleration that occurs as the bob speeds up or slows down toward or away from the resting position.

Free-Body Diagram

A diagram showing the forces acting on an object, such as the bob of a pendulum.

Sinusoidal Motion

Motion that varies in a sinusoidal pattern, such as the position of a pendulum bob over time.

Energy Bar Charts

Conceptual tools used to illustrate energy stores in a system and how they change over time.

Potential Energy (PE)

Energy stored due to the position of the bob; increases when moving away from rest position.

Kinetic Energy (KE)

Energy of motion; increases as the bob moves towards the resting position.

Mechanical Energy

The sum of potential and kinetic energy, which remains constant in an ideal pendulum.

Period (T)

The time taken to complete one full cycle of vibration for a pendulum.

Length of String (L)

The distance from the pivot to the bob; affects the period of the pendulum.

T ∝ √L

The relationship that shows the period of a pendulum is proportional to the square root of its string length.

g (acceleration due to gravity)

The constant acceleration of 9.8 m/s² acting on the pendulum bob.

Damping Effects

Forces, such as air resistance or friction, that reduce mechanical energy of the system.

Formula for Period (T)

T = 2•𝛑√(L/g), which relates the period to the length and gravitational acceleration.

Doubling String Length

Causes the period of the pendulum to increase by a factor of √2.

Halving String Length

Causes the period of the pendulum to decrease by a factor of √2 (1/√2 of the original value).

Swing Angle

The initial angle from which the pendulum is released, affecting the period.

Force Analysis

The study of forces acting on the bob, resolved along tangential and radial axes.

Acceleration (a)

The rate of change of velocity of the pendulum bob due to net force.

Velocity vs. Time Graph

A graphical representation of how the pendulum bob's velocity changes over time.

Position vs. Time Graph

A graphical representation showing the bob's position over time in a sinusoidal manner.

Kinematics

The branch of mechanics that studies the motion of objects without considering the forces.

Oscillation

The repetitive back and forth movement of the pendulum about its resting position.

Equilibrium Position

The position of the pendulum bob when it is at rest.

Restoring Force

The force that acts to bring the bob back to its resting position.

Maximum Displacement

The furthest point from the resting position the bob reaches during its swing.

Tension Force (Ftens)

The force exerted by the string on the bob, counteracting gravitational force.

Force of Gravity (Fgrav)

The weight of the bob acting downward, calculated as mass times gravitational acceleration.

Pendulum Length (L)

The distance from pivot point to the center of mass of the bob.

Angular Displacement

The angle through which the bob moves from its equilibrium position.

Phase of Motion

The specific point in time during the oscillation of the pendulum.

Cyclic Motion

Motion that repeats itself at regular intervals, characteristic of pendulum movement.

Energy Conversion

The process where potential energy is converted to kinetic energy and vice versa.

Simple Harmonic Motion

A type of periodic motion where the restoring force is proportional to displacement.

Equilibrium State

The state where the sum of forces acting on the pendulum bob is zero.

Pendulum Experiment

An experiment conducted to explore the effects of various factors on the period of a pendulum.

Physics Lab

A controlled setting where experiments related to physics concepts are conducted.

Tension Adjustment

Alteration of the tension in the string to affect the motion of the bob.

Angle of Release

The initial angle at which the pendulum is released affects its subsequent motion.

Energy Transfer

The process by which energy is moved from one form (kinetic) to another (potential).

Weight

The force exerted on the bob due to gravity, calculated using mass and gravitational acceleration.

Pendulum Dynamics

The study of the forces and motions involved in the pendulum's oscillation.

Frictional Forces

Resistive forces that oppose motion and can affect the energy of the system.

Time Period (T) Measurement

Determining the duration of one complete cycle of oscillation in a pendulum.

Restoring Force Direction

The direction in which the restoring force acts to return the pendulum to equilibrium.

Pendulum Application

Using pendulum principles in real-world applications, such as clocks.

Mechanical Energy Conservation

The principle that total mechanical energy remains constant in the absence of non-conservative forces.

Amplitude of Motion

The maximum extent of deviation of the bob from its rest position.

Vector Sum

The total force calculated by adding all force vector components acting on an object.

Graphical Representation

Using graphs to visualize relationships such as position and time or velocity and time.

Arc Length

The distance traveled by the pendulum bob along its circular path.

Frequency

The number of complete cycles of a pendulum that occur per unit time.

Formula for Frequency

Frequency (f) is the reciprocal of the period (T), given by f = 1/T.

Uniform Circular Motion

Motion of an object moving at a constant speed in a circular path, characteristic of pendulum motion.

Gravitational Potential Energy

The energy stored due to the position of the bob above the ground.

Conservation of Energy Principle

The principle that total energy in a closed system remains constant.

Oscillation Frequency

The number of pendulum swings per second, related to its period.

Phase Angle

The initial angle of release of the pendulum bob compared to its displacement.

Center of Mass

The point at which the mass of the pendulum bob can be considered to be concentrated.

Energy Transfer Mechanism

The process by which energy is shifted between potential and kinetic forms.

Rest Position Dynamics

The behavior of the pendulum bob as it approaches the equilibrium state.

Velocity Maximum

The peak speed reached by the pendulum bob as it passes through the rest position.

Perpendicular Axes System

The coordinate system employed to analyze forces acting on the pendulum bob.

Cycle of Motion

One complete sequence of the pendulum's swing from start to finish.

Tension Variation

Changes in the tension of the string as the pendulum swings.