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1. ### Applying Newton's laws

the 2nd dervitive is the following; [cos(theta)+uk*sin(theta)]^2*(w*uk*[cos(theta)-uk*cos(theta)-sin(theta)-uk*sin(theta)]/([cos(theta)+uk*sin(theta)]^2)^2
2. ### Applying Newton's laws

it's (n) *u(x)^(n-1) right?
3. ### Applying Newton's laws

what's the dervitaive of u'(x)/u(x)
4. ### Applying Newton's laws

i don't get the follwing line: Thus, in order to evaluate the second derivative at \theta=\theta_{k} , just keep the term including the derivative of the numerator
5. ### Applying Newton's laws

i see now how we get \tan(\theta_{m})=\mu_{k} what's next?
6. ### Applying Newton's laws

w*uk*[sin(theta)-uk*cos(theta)]/[cos(theta)+uk*sin(theta)]^2=0 i couldn't solve for theta it's very complicated. Need your help!

8. ### Applying Newton's laws

shouldn't i first take the 2nd dervitive?
9. ### Applying Newton's laws

is it that i have to set it equal to zero and solve for theta?
10. ### Applying Newton's laws

i don't think there must be a minus in front of the whole expression. what do u mean by where can the extrema of F wrt?
11. ### Applying Newton's laws

is what i did right? i mean squring the denomenator?
12. ### Applying Newton's laws

df/dtheta= w*uk*[-sin(theta)+uk*cos(theta)]/[cos(theta)+uk*sin(theta)]^2
13. ### Applying Newton's laws

a)In terms of theta,µk and w calculate F. b)for w=400 N and µk=.25, calculate F and theta ranging from 0 to 90 in increments of 10.Graph F versus theta. c)From the general expression in part (a) calculate the value of theta for which the value of F, required to maintain constatnt speed, is a...