A 50-lb weight is supported from two cables and the system is in equilibrium. The magnitudes of the forces on the cables are denoted by |F1| and |F2 |, respectively. An engineering student knows that the horizontal components of the two forces (shown in red) must be equal in magnitude. Furthermore, the sum of the magnitudes of the vertical components of the forces (shown in blue) must be equal to 50 lb to offset the downward force of the weight. Find the values of | F1| and | F2 |. Write the answers in exact form with no radical in the denominator. Also give approximations to 1 decimal place. 45° 30° 50 lb

A 50-lb weight is supported from two cables and the system is in equilibrium. The magnitudes of the forces on the cables are denoted by |F1| and |F2 |, respectively. An engineering student knows that the horizontal components of the two forces (shown in red) must be equal in magnitude. Furthermore, the sum of the magnitudes of the vertical components of the forces (shown in blue) must be equal to 50 lb to offset the downward force of the weight. Find the values of | F1| and | F2 |. Write the answers in exact form with no radical in the denominator. Also give approximations to 1 decimal place. 45° 30° 50 lb

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.79P: The 110-lb traffic light is suspended from two identical cables AB and BC, each weighing 0.80 lb/ft....

See similar textbooks

Similar questions

The 110-lb traffic light is suspended from two identical cables AB and BC, each weighing 0.80 lb/ft. If the maximum allowable horizontal force exerted by a cable on a vertical post is 170 lb, determine the shortest possible length of each cable and the corresponding vertical distance h.
A uniform 80-ft pipe that weighs 960 lb is supported entirely by a cable AB of negligible weight. Determine the length of the cable and the maximum force in the cable. (Hint: First locate the point O where the cable is tangent to the pipe.)
The tensions in the cable at points O and B are TO=1200N and TB=1800N. Determine the weight W of the cable.
The uniform, 30-lb ladder is raised slowly by pulling on the rope attached at A. Determine the largest angle that the ladder can attain if the maximum allowable tension in rope BC is 120 lb.
Show that all diagonal members of the truss carry the same force, and find the magnitude of this force.
Two 12-kg spheres are placed 400 mm apart. Express the gravitational attraction acting between the spheres as a percentage of their weights on earth.
The 30-lb block is held in place on the smooth inclined plane by the force P. (a) Knowing that =20, determine P. (b) Given that P=40lb, find the angle .
Two forces A and B are applied on an object. If force A is 15 N at 30 degrees North of East and force B is 20 N at 30 degrees West of North. Determine the magnitude and direction of a third force C to be applied on the object that will put it in equilibrium.
Springs OA and OB are originally unstretched in a vertical position. Find the horizontal force, F, when the springs are held in the position as shown, given: k = 550 lb/ft, L1 = 0.6 ft, L2 = 1.3 ft
The forces acting on the bob of the pendulum are its weight (W = 2 N) and the tension T in the cord. When the pendulum reaches the limit of its swing at θ = 60o it can be shown that the resultant of W and T is perpendicular to the cord. Determine the magnitude of T in this position.
The uniform plate has a weight of W = 450 lb. Suppose that F= 250 lb. The plate is supported by cables A, B, and C as shown below. Determine: A) The tension in the supporting cable A. B) The tension in the supporting cable B. C) The tension in the supporting cable C.
A person is pushing on a handrail at an 80° direction, with a load of 150 lbs. Determine the x and y components of the force on the handrail.