Resolving T in to two components,
T cos37o vertically upward and
T sin37o towards the tree and perpendicular to it
Similarly, resolving F in to two components,
F cos22.5o, away from tree, perpendicular to it, which is the normal force
F sin22.5o, vertically upward, along the tree, which provides the friction
Weight mg of the biologist act vertically downward
Now, for translational equilibrium in horizontal direction,
F cos22.5o = T sin37o
Or, F = T(sin37o/cos22.5o)
= 0.6514T
In vertical direction, equilibrium needs,
F sin22.5o + T cos37o = mg
Or, 0.6514T*0.38268 + T*0.79863 = 56*9.8
Or, 1.0479*T = 548.8
Thus, tension, T = (548.8/1.0479) = 523.71 N
Coefficient of friction is given by,
k
= Frictional force/Normal force
= (F sin22.5o/F cos22.5o)
= tan 22.5o
= 0.41
A biologist inspects an owl's nest that is built in a hollow cavity of a tree....
A biologist inspects an owl's nest that is built in a hollow
cavity of a tree. Refer to the image. The mass of the biologist is
58.0 kg. The rope makes an angle of θ = 25.0o with the vertical.
Her legs are pushing out against the tree at an angle of ϕ = 19.5o
above the horizontal. (a)What is tension in rope? (in N) (b)What
must be the minimum coefficient of static friction μk to keep her
shoes from...
A biologist inspects an owl's nest that is built in a hollow
cavity of a tree. Refer to the image. The mass of the biologist is
54.0 kg. The rope makes an angle of θ = 37.0o
with the vertical. Her legs are pushing out against the tree at an
angle of ϕ = 19.5o above the horizontal.
(a)
What is tension in rope? N
(b)
What must be the minimum coefficient of static friction
μk to keep her shoes...
A biologist inspects an owl's nest that is built in a hollow
cavity of a tree. Refer to the image. The mass of the biologist is
47.0 kg. The rope makes an angle of θ = 26.5o with the
vertical. Her legs are pushing out against the tree at an angle of
ϕ = 19.5o above the horizontal.
(a)
What is tension in rope? N
(b)
What must be the minimum coefficient of static friction
μk to keep her shoes...