i have a question in physics that's very related to math. Can you please help me with it?
c) From the general expression in part (a), calculate the value of theta for which the value of F, required to maintain constant 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 = 0.25, evaluate this optimal theta and compare your result to the graph you constructed in part (b).
The expression I found in part (a) was:
. . .F = µk*w / (cos(theta) + µk*sin(theta))
c) From the general expression in part (a), calculate the value of theta for which the value of F, required to maintain constant 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 = 0.25, evaluate this optimal theta and compare your result to the graph you constructed in part (b).
The expression I found in part (a) was:
. . .F = µk*w / (cos(theta) + µk*sin(theta))