Branch of mechanics which deals with the study of bodies in motion
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Galileo Galilei
Who derived the Laws of motion and served as the Foundation of Dynamics
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Newton’s Second Law of Motion
**This law states that** __**the force acting on a body is equal to the rate of change of the body’s momentum.**__
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Galileo Galilei
**who made careful observations concerning bodies in free fall, motion on an inclined plane, and motion of pendulum**
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True
__**heavy bodies fall more rapidly than light bodies. True or False**__
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Huygens 1657
**Who invented the pendulum clock and in what year?**
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Principia
**Newton’s famous work was published in the first edition of _____.**
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Kinematics
**motion of a particle or body without consideration of the forces causing the motion.**
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Kinetics
**branch of mechanics that relates the force acting on a body to its mass and acceleration.**
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Particle
**usually denotes an object of point size**
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Rigid Body
**is a body whose changes in shape are negligible**
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Rigid Body
**a body for which the deformations can be neglected with no loss of accuracy in the analysis of motion**
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Rectilinear Motion
**the motion of a particle along a staright line**
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displacement
**defined as the** ***change*** **in the position of a particle**
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Speed
Magnitude of velocity
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Resultant Force
What is the effective force on a particle?
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Newton’s Third Law of Motion
for every force there is an equal and opposite reaction
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Inertia Force
If a particle is accelerated by a resultant force, this reaction is called?
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False
Inertia Force is equal and directed reaction to the resultant force acting on a particle. True or False
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Static equilibrium
If the inertia force is condidered to act on a particle together with the resultant force, the particle will be in ____
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Static Equilibrium
the particle is at rest or is moving with constant velocity
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D’Alembert’s Principle
Alternative form of Newton’s second law of motion.
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Jean le Rond D’Alembert 18th Century
Who and when was D’Alembert’s Principle formulated?
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D’Alembert’s Principle
F-ma=0
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D’Alembert’s Principle
expresses the relation between the external forces applied to a system of particles and the effective force on each particle of the system
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Centroidal Rotation
all particles will describe horizontal circular arcs about the vertical centroidal axis
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Plane Motion
since resultant can be transformed into a force acting through the gravity center plus a couple it can be seen that the motion in this case will be a combination of translation and centroidal rotation
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Curvilinear Translation
if the direction of R varies, although continuing to pass through the gravity center, so will the motion of the body, resulting in a curved path motion known as
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Rectilinear Translation
if the direction of R is constant, the motion of the body follows a straight-line path and is called