The force F (in pounds) acting at an angle θ with the horizontal that is needed to drag a crate weighing W pounds along a horizontal surface at a constant velocity is given by F = μ W cos θ + μ sin θ Where μ is a constant called the coefficient of sliding friction between the crate and the surface (see the accompanying figure). Suppose that the crate weighs 150 lb and that μ = 0.3. (a) Find d F / d θ when θ = 30 ° if θ is decreasing at the rate of 0.5 ° /s at this instant.
The force F (in pounds) acting at an angle θ with the horizontal that is needed to drag a crate weighing W pounds along a horizontal surface at a constant velocity is given by F = μ W cos θ + μ sin θ Where μ is a constant called the coefficient of sliding friction between the crate and the surface (see the accompanying figure). Suppose that the crate weighs 150 lb and that μ = 0.3. (a) Find d F / d θ when θ = 30 ° if θ is decreasing at the rate of 0.5 ° /s at this instant.
The force
F
(in pounds) acting at an angle
θ
with the horizontal that is needed to drag a crate weighing
W
pounds along a horizontal surface at a constant velocity is given by
F
=
μ
W
cos
θ
+
μ
sin
θ
Where
μ
is a constant called the coefficient of sliding friction between the crate and the surface (see the accompanying figure). Suppose that the crate weighs
150
lb
and that
μ
=
0.3.
(a) Find
d
F
/
d
θ
when
θ
=
30
°
if
θ
is decreasing at the rate of
0.5
°
/s
at this instant.
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