physics forces secondary3

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Contact forces - Involve physical contact between objects.

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8/17/2019 Physics Forces Secondary3

http://slidepdf.com/reader/full/physics-forces-secondary3 1/23

Contact forces

- Involve physical contact between

objects.

8/17/2019 Physics Forces Secondary3

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Field forces:

-  No physical contact between

objects

-  Forces act through empty space

gravity

electric

magnetic

8/17/2019 Physics Forces Secondary3

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Measuring forces

-  Forces are often measured by determining the elongation of a calibratedspring.

-  Forces are vectors !emember vector addition.

-   "o calculate net force on an object you must use vector addition.

8/17/2019 Physics Forces Secondary3

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Newton’s first law:

In the absence of e#ternal forces:

$   an object at rest remains at rest

$  an object in motion continues in motion with

constant velocity %constant speed& straight line'

%assume no friction'.

(r: )hen no force acts on an object& the acceleration ofthe object is *ero.

Inertia:  (bject resists any attempt to change is velocity

8/17/2019 Physics Forces Secondary3

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Inertial frame of reference:

- + frame %system' that is not accelerating.

-  Newton,s laws hold only true in non-accelerating %inertial'frames of reference

+re the following inertial frames of reference:

-  + cruising car

-  + braing car

-  "he earth

-  +ccelerating car

8/17/2019 Physics Forces Secondary3

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Mass

-   Mass of an object specifies how much inertia the

object has.

-   /nit of mass is g.

-   "he greater the mass of an object& the less it

accelerates under the action of an applied force.

-   0on,t confuse mass and weight %see: bit later'.

8/17/2019 Physics Forces Secondary3

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 Newton,s second law%very important'

"he acceleration of an object is directly proportional tothe net force acting on it and inversely proportional to itsmass.

am F   ⋅=

 x x   am F    ⋅=   y y   am F    ⋅=

 z  z 

  am F    ⋅=

8/17/2019 Physics Forces Secondary3

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/nit of force:

$   "he unit of force is the Newton %1N'

$   (ne Newton: "he force re2uired to accelerate a 1 g

mass to 1m3s4.

$   1N 5 1g6m3s4

8/17/2019 Physics Forces Secondary3

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"wo forces act on a hocey puc%mass m 5 7.8 g' as shown

in the figure.

%a' 0etermine the magnitude and direction of the net force actingon the puc 

%b' 0etermine the magnitude and the direction of the pucs

acceleration.

9lac board e#ample .1

%related to ;) problem' F4 5 <.7 N

θ4 5 =7>

F1 5 .7 N

θ1 5 47>

8/17/2019 Physics Forces Secondary3

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"he force of gravity and weight

$   (bjects are attracted to the ?arth.$   "his attractive force is the force of gravity Fg.

$   "he magnitude of this force is called the weight of the

object.$   "he weight of an object is& thus m6g.

 g m F  g   ⋅=

"he weight of an object can very with location %less weight on the moon thanon earth& since g is smaller'.

"he mass of an object does not vary.

8/17/2019 Physics Forces Secondary3

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 Newton,s third law

If two objects interact& the force F14 e#erted by object 1 on object 4

is e2ual in magnitude and opposite in direction to the force F41 

e#erted by object 4 on object 1:

@For every action there is an

e2ual and opposite reaction.A

4114  F  F    −=

+ction and reaction forces always act on different objects.

8/17/2019 Physics Forces Secondary3

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)here is the action and reaction force

8/17/2019 Physics Forces Secondary3

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Conceptual example:

+ large man and a small boy stand facing each other on

frictionless ice. "hey put their hands together and push

against each other so that they move apart.

%a' )ho e#periences the larger force

%b' )ho e#periences the larger acceleration

%c' )ho moves away with the higher speed

%d' )ho moves farther while their hands are in contact

8/17/2019 Physics Forces Secondary3

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$   +naly*ing forces

$   Free body diagram

$   "ension in a rope 5 magnitude of the force that the rope

e#erts on object.

9lac board: Free body diagram

8/17/2019 Physics Forces Secondary3

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+pplying Newton,s laws

$ Mae a diagram %conceptuali*e'

$ Categori*e: no acceleration:

accelerating object:

$ Isolate each object and draw a free body

diagram for each object. 0raw in all forces that

act on the object.

$ ?stablish a convenient coordinate system.$ )rite Newton,s law for each body and each

coordinate component. set of e2uations.

$ Finali*e by checing answers.

∑   =  7 F 

∑   = ma F 

8/17/2019 Physics Forces Secondary3

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+ traffic light weighing 14 N hangs from a cable tied to twoother cables fastened to a support as shown in the figure.

Find the tension in the three cables.

9lac board e#ample .4 %on ;)'

8/17/2019 Physics Forces Secondary3

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9lac board e#ample .8 %on ;)'

+ crate of mass m is placed on a frictionless plane of incline θ 5 87°.

%a' 0etermine the acceleration of the crate.

%b' Btarting from rest& the crate travels a distance d 5 17.4 m to the

 bottom of the incline. ;ow long does it tae to reach the bottom&

and what is its speed at the bottom

α

α

α

α

8/17/2019 Physics Forces Secondary3

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9lac board e#ample .

%on ;)'

+ttwood,s machine.

"wo objects of mass m1 5 4.77 g and m4 5 .77 g are hung overa pulley.

%a' 0etermine the magnitude of the acceleration of the two objects andthe tension in the cord.

8/17/2019 Physics Forces Secondary3

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Forces of Friction

$   Btatic friction& f s

$   Dinetic friction& f  

Friction is due to the

surfaces interacting with

each other on the

microscopic level.

$   sliding over bumps

$  chemical bonds

time

8/17/2019 Physics Forces Secondary3

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"he following empirical  laws hold true about friction:

-   Friction force& f& is proportional to normal force& n.

-   µs and µ : coefficients of static and inetic friction& respectively

-   0irection of frictional force is opposite to direction of relative

motion

-   Ealues of µs and µ  depend on nature of surface.

-  µs and µ  don’t  depend on the area of contact.

-  µs and µ  don’t  depend on speed.

-  µs& ma# is usually a bit larger than µ .

-  !ange from about 7.778 %µ  for synovial joints in humans' to 1 %µs for rubber on concrete . Bee table .4 in boo.

n f    s s   µ ≤   n f   k k    µ =

8/17/2019 Physics Forces Secondary3

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9lac board e#ample .

%related to ;)'

Measuring the coefficient of staticfriction

+ bric is placed on an inclined

 board as shown in the figure.

"he angle of incline is

increased until the bloc starts

to move.

0etermine the static friction coefficient from the critical angle& αc& at

which the bloc starts to move. Calculate for αc 5 4=.>.

α

α

α

α

8/17/2019 Physics Forces Secondary3

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+ppro#imate friction coefficients

µs   µ 

!ubber onconcrete

1.7 7.<

)ood on wood 7.4-7. 7.4

)a#ed wood onwet snow

7.1 7.1

Bynovial jointsin humans

7.71 7.778

8/17/2019 Physics Forces Secondary3

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9lac board e#ample .=%on ;)'

+ car is traveling at 7.7 mi3h on a hori*ontal highway.

%a' If the coefficient of inetic friction and static friction betweenroad and tires on an icy day are 7.7<7 and 7.1& respectively&

what is the minimum distance in which the car can stop

%b' )hat are the advantages of antiloc braes