Young and Freedman Chapter 27 - Magnetic Field and Forces - Solutions
Young and Freedman Chapter 28 - Sources of Magnetic Field - Solutions
Young and Freedman Chapter 29 - Electromagnetic Induction - Solutions
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Technische Universiteit Eindhoven (TUE)
Mechanical Engineering
Applied natural sciences (3NBB0)
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KNIESS, KINNIEMYATT 110$ #☒☒ ☒*☒AAMY118$
newtons bawg of motion
Newton's laws of motion describe the origin of motion
first introduced in his mathematical principles of natural philosophy ( 1686 )
Newton's first law of motion : a body acted upon by a zero net -
force moves at a constant
velocity which may be zero and has zero acceleration
Newton's second law : If net external force accelerates The
direction body a acts on a body the
, .
force
of acceleration is in the same direction of the net
Newton 's third law : If body A exerts a force on body B then
body B exerts a force
,
on body
A. These forces have the same magnitude and opposite directions ( Action Reaction ) =
types of forces : forces can be push or pull and can act in contact or in long ranges
contact forces :
spring force ,
normal force and friction force .
long range forces :
weight /gravitational force ,
electro magnetic force
-
.
Net force the total
:
sum of external forces
forces are vector quantities
A force can be rewritten as the vector sum of a force component in each orthogonal
direction :
along the ✗ -
, y -
,
and z -
axis .
A net force can be defined as the vector sum of all separate external forces acting on a
body
This is the principle of superposition of forces .
Newton's first law of motion :
Inertia the :
tendency for a body to keep moving F
µ
The measure of inertia is mass
F→ = 0 → v =
constant (a = 0 )
nothing is needed to keep a body in motion
Newton 's second law of motion :
relates a body 's acceleration (a) to net force (F) → the proportionality constant is
mass ( m ) : IÉ =
m .
a→
Fx =
M -
Ax Fy =
M -
Ay Fz =
m -
Az
gravitational force (weight) : Ñ =
m §
two objects of same mass would have different values if measured by spring balance on different planets
because of gravitational accelerations ( same mass, different weight )
Newton's third law of motion :
É action
= -
Éreaction
the two forces act on different bodies .
Inertial frame of reference
frame of reference :
coordinate system + time scale .
Inertial frame of reference :
reference frame moving with constant velocity ( such that
Newton's first law is valid
free body diagram shows forces acting :
on a subject
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