A strut of length
L = 3.00 m and mass m =
16.0 kg is held by a cable
at an angle of θ = 30.0°
with respect to the horizontal
as shown in Figure
P8.30. (a) Sketch a force
diagram, indicating all
the forces and their placement
on the strut. (b) Why is the hinge a good place to use
for calculating torques? (c) Write the condition for rotational
equilibrium symbolically, calculating the torques around the
hinge. (d) Use the torque equation to calculate the tension in the cable. (e) Write the x- and y-components of Newton’s
second law for equilibrium. (f) Use the force equation to
find the x- and y -components of the force on the hinge.
(g) Assuming the strut position is to remain the same, would
it be advantageous to attach the cable higher up on the wall?
Explain the benefit in terms of the force on the hinge and
cable tension.
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