can someone show me how to do this problem?

PV Audio
5,000+ posts

The Vision of Sound
i'm dying over here.

to move a large crate across a rough floor, you push down on it at an angle of 21 degrees. find the force necessary to start the crate moving, given that the mass of the crate is 32 kg and the coefficient of static friction between the crate and the floor is .57

this is my work so far

EFy = ma

Fn - mg sin theta = 0

Fn - (32)(9.8) sin 21 = 0

Fn = 262.38

friciton work...

fs = .57(262.38)

fs = 144.55

i don't know what else to do... i need to find the force needed to overcome static friction at 21 degrees theta. heeeelp!

-Dave

no retarded posts here please.

 
I could have told you last year while I was in physics, but now...nothing.
x2...

But let me take a stab at it (if it's not right, whatever):

Ey = Normal - Force_of_Object - Vertical_Applied_Force = ma => 0 since a = 0

Ey = F_Normal - mg - F * sin(21) = ma = 0

Ey = F_Normal - (32 * 9.8) - F * sin(21) = 0

F_Normal = (32 * 9.8) + F * sin(21)

F_Normal = 313.6 + F * sin(21)

Ex = Horizontal_Applied_Force - Friction*Normal = ma => 0 since a = 0

Ex = F * cos(21) - u * F_Normal = ma = 0

Ex = F * cos(21) - 0.57 ( F_Normal ) = 0

Use Ex & Ey as a system of equations to find F but substituting F_Normal into Ex:

Ex = F * cos(21) - 0.57 ( 313.6 + F * sin(21)) = 0

F * cos(21) - 178.52 - 0.57 * F * sin(21) = 0

F (cos(21) - 0.57 * sin(21)) = 178.52

F = 178.52 / (cos(21) - 0.57*sin(21))

F = 244.779

So that's my guess...244.779 Newtons

 
I wish I could help you. All I do in Physics is start at the board and laugh at my teacher's diagrams. Im passing with a B somehow so until I drop a lettergrade, Im sticking with this strategy.

 
find the force necesary if you were just pushing it horizontally, and then use trig to find how much force is needed at 21*
Ohh dear god...trig //content.invisioncic.com/y282845/emoticons/hide.gif.2d479cfd917eedfe201353b91522ceab.gif . I never could understand trig.

 
x2...
But let me take a stab at it (if it's not right, whatever):

Ey = Normal - Force_of_Object - Vertical_Applied_Force = ma => 0 since a = 0

Ey = F_Normal - mg - F * sin(21) = ma = 0

Ey = F_Normal - (32 * 9.8) - F * sin(21) = 0

F_Normal = (32 * 9.8) + F * sin(21)

F_Normal = 313.6 + F * sin(21)

Ex = Horizontal_Applied_Force - Friction*Normal = ma => 0 since a = 0

Ex = F * cos(21) - u * F_Normal = ma = 0

Ex = F * cos(21) - 0.57 ( F_Normal ) = 0

Use Ex & Ey as a system of equations to find F but substituting F_Normal into Ex:

Ex = F * cos(21) - 0.57 ( 313.6 + F * sin(21)) = 0

F * cos(21) - 178.52 - 0.57 * F * sin(21) = 0

F (cos(21) - 0.57 * sin(21)) = 178.52

F = 178.52 / (cos(21) - 0.57*sin(21))

F = 244.779

So that's my guess...244.779 Newtons
That's what I got.

I'm actually learning this same exact shit as a 3rd year in college right now //content.invisioncic.com/y282845/emoticons/tongue.gif.6130eb82179565f6db8d26d6001dcd24.gif

 
Oh! Now do it in 3 dimensions. Let's say the ramp is tilted at an angle of 3 degrees to the left so the crate doesn't slide down the middle.

Time to start using gradient vectors and Stokes Theorem!!! //content.invisioncic.com/y282845/emoticons/veryhappy.gif.fec4fed33b4a1279cf10bdd45a039dae.gif

 
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