Mechanics vocab - simple pendulum

Term

Definition

Velocity (v)

Vector quantity of speed and direction of an object

Relative motion (velocity)

Comparison of two or more objects' motions, assuming that the second object is fixed by looking at the reference frame of the second object

Trajectory

The path of an object in projectile motion

Kinetic friction (force)

Opposes sliding motion, constant

Static friction (force)

Prevents motion

Normal force (N)

Support force exerted by a surface perpendicular to the surface itself

Tension (T)

Pulling force transmitted through a sting, rope or cable when stretched, equal throughout

Elastic force

Restoring force exerted by an object when it is deformed

Buoyant force (N)

Upward force exerted by a fluid on a submerged object

Archimedes' principle

The buoyant force exerted to an submerged object is equal to the weight of the submerged weight of the fluid it displaced

Transactional equilibrium

Sum of all forces in any direction is zero

Rotational equilibrium

Sum of all torques about any pivot point is zero

Torque (τ)

Rotational effect of a force applied at a distance from a pivot point

Couple of forces

A pair of equal and opposite forces acting on a body but not along the same like, causing torque but no rotation

Center of mass

Point where the entire mass of an object or system can be considered to be concentrated for motion analysis

Newton's I law

If an object is not interacting with other objects (affected by forces) it remains at rest or continues to move in a straight line with constant speed

Newton's II law

The net force acting on an object gives it an acceleration proportional to the force (motion equation)

Newton's III law

When two objecst interact, they exert forces on each other that are equal in magnitude but opposite in direction

Rolling resistance

Force that opposes the motion of a rolling object due to deformation, internal friction and surface interaction

Air resistance

Drag force that opposes the motion of an object moving through air
- increases with speed, larger, stiffer shapes, denser air.

Terminal velocity

Maximum speed attainable by an object falling through a fluid / gas. Sum of drag force and buoyancy is equal to the downward force of gravity
- a =  0

! Coefficent of restitution ( e )

Measurement of how "bouncy" a collision is between two objects. Reread notes on what kind of collisions have what kind of coefficents of restitutions

Principle of work and kinetic energy

Work done by the sum of all forces acting on a particle is equal to the change in the kinetic energy of the particle

Impulse (J)

Change in momentum caused by a force acting over a specific time interval

Impulse-momentum theorem

Impulse is equal to the change in momentum

Fission

Process where a single object splits into two or more parts. Total momentum of the system remains conserved. Ie a firework exploding

Coalescence

Two or more objects combining to frm a single object. Total momentum of the system remains conserved. Ie two lumps of clay meet and stick together

Elastic collision

Both momentum and kinetic energy are conserved. Coefficent of restitution is 1. Ie ideal gas molecule collisions, billiard balls

Inelastic collision

Momentum is conserved, but kinetic energy is not, since some of it transforms into heat, sound etc. 0 < e < 1

Perfectly inelastic collision

Objects stick together after the collision. Momentum is conserved and e = 0

Uniform circular motion

An object moves in a circular path at constant speed

Linear velocity (v)

Speed of an object on its circular path

Angular velocity ()

Circular motion speed in rad / s

Period (T)

Time to complete one full revolution (2π)

Rotational frequency (f)

Number of revolutions per second, measured in Hz

Centripetal force

Force that causes circular motion. Directed towards the middle of circular motion.

Non-uniform circular motion

In non-uniform circular motion the object is speeding up or slowing down during circular motion. In addition to addition to centripetal acceleration, there's also tangential acceleration, which causes the change in speed

Inertial force

Force that appears when looking a acclerating force at a rotating reference frame.

Centrifugal force

Type of inertial force that appears in a rotating (non-inertial) reference frame, acting away from the center of rotation. Equal to ventripetal force, but points in the opposite direction.

Inertia

Resistance to a change in motion

Simple harmonic motion

Periodic motion, which is similiar to uniform circular motion in nature. Most commonly a weightless, lossless spring in a vacuum.

Restoring Force

The force that pulls the object back toward equilibrium.

Amplitude (A)

The maximum displacement from equilibrium in harmonic motion

Period (T)

The time for one full oscillation (one wavelength/rotation)

Frequency (f)

How many oscillations occur per second.

Phase (ϕ)

Determines the starting position of the motion.

Angular Frequency (ω)

A measure of how fast the system oscillates in radians per second.

Simple pendulum

A mass attached to a rod pivited in it's other end.