inclined planes presentation

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A skier is sliding down a slope.

The gravitational force acting upon the skier is directed _____.

a. straight upward b. straight downward c. perpendicular to the slope d. parallel to the slope

A skier is sliding down a slope.

The gravitational force acting upon the skier is directed _____.

a. straight upward b. straight downward c. perpendicular to the slope d. parallel to the slope

Fg

The normal force acting upon the skier is directed _____.

a. perpendicular to the slope b. parallel to the slopec. straight downward d. straight upward

Fg

The normal force acting upon the skier is directed _____.

a. perpendicular to the slope b. parallel to the slopec. straight downward d. straight upward

Fg

Fn

The friction force acting upon the skier is directed _____.

a. parallel to the slope b. straight upward c. straight downward d. perpendicular to the slope

Fg

Fn

The friction force acting upon the skier is directed _____.

a. parallel to the slope b. straight upward c. straight downward d. perpendicular to the slope

Fg

FnFfr

An object upon an inclined plane is sliding at a constant speed down the incline. Friction is present. Which one of the following diagrams represent the free-body diagram for such an object?

How large is the force of friction?

Fg

FnFfr

How large is the force of friction?

Construct a coordinate system…

Fg

FnFfr

+x

+y

Fg

FnFfr

+x

+y

q

q

How large is the force of friction?

Construct a coordinate system…

Fg

FnFfr

+x

+y

q

q

How large is the force of friction?

Construct a coordinate system…

…now break Fg into its components…

Fperp

Fpar

Fg

FnFfr

+x

+y

q

q

A downhill skier has a weight of 500 N,and is skiing down a 30 hill. Determine

Fperp

Fpar Fperp

Fpar

Fg= 500 N

FnFfr

+x

+y

30

A downhill skier has a weight of 500 N,and is skiing down a 30 hill. Determine

Fperp = (500 N) cos 30

= 433 N

Fpar = (500 N) sin 30

= 250 N

Fperp

Fpar

Fg= 500 N

FnFfr

+x

+y

30

A downhill skier has a weight of 500 N,and is skiing down a 30 hill. Determine

433 N = Fperp

250 N = Fpar

Fg= 500 N

FnFfr

+x

+y

30

If the skier is not accelerating, h how large is the force of friction?

How large is the normal force?

433 N = Fperp

250 N = Fpar

20

A 12 kg box slides down a ramp at a constant velocity.

a. Sketch a free body diagram for the box.

20

A 12 kg box slides down a ramp at a constant velocity.

a. Sketch a free body diagram for the box.

Fg

FnFfr

20

A 12 kg box slides down a ramp at a constant velocity.

b. Make a tilted coordinate system and find Fperp and Fpar.

Fg

FnFfr

20

A 12 kg box slides down a ramp at a constant velocity.

b. Make a tilted coordinate system and find Fperp and Fpar.

Fg

FnFfr

+y

+x

20

A 12 kg box slides down a ramp at a constant velocity.

b. Make a tilted coordinate system and find Fperp and Fpar.

Fperp = (117.6 N) cos 20

= 110.5 N

Fpar = (117.6 N) sin 20

= 40.2 N

Fg

FnFfr

+y

+x

20

20

A 12 kg box slides down a ramp at a constant velocity.

c. Determine the force of friction and the normal force on the block.

Ff =

Fn = Fg

FnFfr

+y

+x

2011

0.5

N

40.2 N

20

A 12 kg box slides down a ramp at a constant velocity.

c. Determine the force of friction and the normal force on the block.

Ff = 40.2 N

Fn = 110.5 N

FnFfr

+y

+x110.

5 N

40.2 N

20

A 12 kg box slides down a ramp at a constant velocity.

d. If there was no friction, what would be the acceleration down the ramp?

FNET = m a 40.2 N = (12 kg) a a = 3.35 m/s^2

Fn

+y

+x110.

5 N

40.2 N

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