Static Equilibrium
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Static Equilibrium
For the system in equilibrium shown in the figure, determine the tension forces on the strings A
and B knowing that body C has 100 N.
A body with a mass of 200 kg is maintained in equilibrium on an inclined plane at 30° relative to the
horizontal by a cord passing through a fixed pulley and the other end supports a body with a mass
M. The rope makes with the inclined plane an angle of 45°. Determine:
a) The mass M;
b) The force exerted by the body on the plan.
a) The mass M;
b) The force exerted by the body on the plan.
A mass block m = 100 kg is suspended by the string system shown in the figure. Determine the
tension forces on all ropes.
Assume: \( \sin 15°=0.259 \), \( \cos 15°=0.966 \), \( \sin 45°=0.707 \), \( \cos 45°=0.707 \), \( \sin 60°=0.866 \), \( \cos 60°=0.5 \).
Assume: \( \sin 15°=0.259 \), \( \cos 15°=0.966 \), \( \sin 45°=0.707 \), \( \cos 45°=0.707 \), \( \sin 60°=0.866 \), \( \cos 60°=0.5 \).
A body with weight W is suspended by a system of pulleys and strings. Assuming these elements are
lightweight and the pulleys and ropes have no friction. Determine:
a) The force that man must apply on the rope to keep the body in static equilibrium;
b) If the rope is pulled down 60 cm, how much does the body lifts.
a) The force that man must apply on the rope to keep the body in static equilibrium;
b) If the rope is pulled down 60 cm, how much does the body lifts.
Two identical spheres, A and B, are placed in a box. The reaction force exerted by the
bottom of the box on the sphere is 25 N.
a) Determine the mass of the spheres;
b) Find the ratio between the reaction forces of the box on the spheres.
a) Determine the mass of the spheres;
b) Find the ratio between the reaction forces of the box on the spheres.
A body lies over an inclined plane of an angle α with the horizontal. To move upward it is required a force
parallel to the inclined plane whose minimum magnitude is F1 To prevent the body from
sliding down is required a force whose minimum magnitude is F2, also parallel to the slope.
If F1 = 2F2, calculate the coefficient of friction between the body and
the plane.
Three cylinders A, B, and C, with the horizontal axis and each weight W, are
in equilibrium on a system of two inclined planes, each with an angle of 30° relative to a plane, as
shown in the figure. Determine the magnitudes of reaction forces in each cylinder due to planes and
other cylinders.
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