- #1
Anood
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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 minimum.(Hint: At a
point where a function is minimum, what are the first and second derivatives of
the function? Here F is a function of theta.)for the special case of w=400 N and
µk=.25,evaluate this optimal theta and compare your result to the graph you
constructed in part b.
i need help with part c
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 minimum.(Hint: At a
point where a function is minimum, what are the first and second derivatives of
the function? Here F is a function of theta.)for the special case of w=400 N and
µk=.25,evaluate this optimal theta and compare your result to the graph you
constructed in part b.
this is the solution for part a:
F = µk*w / (cos(theta) + µk*sin(theta))
the problem is that i don't know how to get the dervitives in order to solve part c
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 minimum.(Hint: At a
point where a function is minimum, what are the first and second derivatives of
the function? Here F is a function of theta.)for the special case of w=400 N and
µk=.25,evaluate this optimal theta and compare your result to the graph you
constructed in part b.
Homework Equations
i need help with part c
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 minimum.(Hint: At a
point where a function is minimum, what are the first and second derivatives of
the function? Here F is a function of theta.)for the special case of w=400 N and
µk=.25,evaluate this optimal theta and compare your result to the graph you
constructed in part b.
The Attempt at a Solution
this is the solution for part a:
F = µk*w / (cos(theta) + µk*sin(theta))
the problem is that i don't know how to get the dervitives in order to solve part c