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anonymous

@matt101

anonymous

@ganeshie8

wmj259

maximum magnitude a static friction force between the box
and truck bed can have is f(max)=mui*normal
normal is basically mg
But you also have to use newtons laws on this problem.
F=ma
^ in this case you set the force equal to the frictional maximum force. So thats then mui(mg)=ma
If you solve for acceleration, the masses cancel out. So you have left:
a=mui*g

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More answers

wmj259

in this case your mui due to static friction is 0.51

wmj259

I hope this helped.

anonymous

Okay so (.51N)(9.81*351)

wmj259

No the mass gets canceled out because of the newtons formula.

anonymous

Okay so just (.51N * 9.81)?

wmj259

thats not a N, thats mui.

wmj259

http://www.mrwaynesclass.com/ap/Ch4_freebody/CH04W59.pdf. Look at how this page derives the equation.

anonymous

404 error

anonymous

So you wouldn't find acceleration by multiplying the gravity by mui?

anonymous

@AlexandervonHumboldt2

wmj259

Wheres the error404 coming from :)

anonymous

It did that when I clicked on it.

anonymous

@aaronq

wmj259

http://www.mrwaynesclass.com/ap/Ch4_freebody/CH04W59.pdf
I think the extra spaced messed up the link.

wmj259

just copy and paste the link withouth the extra spaces.

anonymous

@Compassionate

anonymous

For this would I just take (.51)(9.81)=5.0031

anonymous

Always start with:
|dw:1447296703167:dw|
From there, you know that Force of gravity is equal to the normal force, since the object will only move horizontally. So the y-components of force will be equal to zero:
Fnormal - Fgravity = 0 N -->eqn 1
To solve for the Friction Force which is required to solve for the maximum acceleration, you need the formula for the normal force. From the eqn 1, rearrange it in terms of Fnormal:
Fnormal = Fgravity
Fnormal = mass x acceleration due to gravity (SO CALCULATE THIS FIRST- just leave the mass as variable "m" for now)
The formula for the Friction force is:
|dw:1447297058064:dw|
where Fn is the normal force,
µ is the coefficient of friction
Subsitute the values and solve for Ff.
NEXT SOLVE FOR ACCELERATION:
According to Newton's second law, the object must move on the direction of the friction force, since it is the only force remaining that will cause the object to move:
Ff = mass x acceleration
rearrange the formula and you'll get :
acceleration = force / mass
variable 'm' should cancel out.

anonymous

that is for letter A.

anonymous

For letter B, you have to refer to your solution on letter A.
Since you cancel the 'm' or the mass on your calculation, do you think having different mass matters to have a safe acceleration?

anonymous

So from letter A, what normal force did you get?

anonymous

Fgrav= (9.81)(351) = 3443.31 =Fnorm

anonymous

right, now solve for the friction force using that normal force and the coefficient of friction, what will you get?

anonymous

So would the m be .51?

anonymous

it is µ= 0.51, not the m.
just ignore the 'm' for now--we'll use it on letter B.

anonymous

So Ff = mui 3443.31

anonymous

yeah but mui is 0.51 , so you can solve for Ff: 0.51 x 3443.31

anonymous

Alright I was thinking that. I got Ff=1756.0881

anonymous

okay good :D
now solve for acceleration

anonymous

I divide the 1756 by the mass right

anonymous

yep

anonymous

..and you'll get?

anonymous

5.0031

anonymous

yes :) that will be your acceleration, don't forget your unit :)

anonymous

Right. 5.00 m/s^2

anonymous

yes, perfect.
For B, instead of substituting the values, use variables instead to solve for 'a' ... and go back the question I asked about letter B.

anonymous

I don't really see why the mass of the truck would matter.

anonymous

yes, your answer is kinda right, but you have to know the reason why the mass of the loads would not matter :)