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 | F 1 and F 2 | , 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 | F 1 and F 2 | . Write the answers in exact form with no radical in the denominator. Also give approximations to 1 decimal place.
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 | F 1 and F 2 | , 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 | F 1 and F 2 | . Write the answers in exact form with no radical in the denominator. Also give approximations to 1 decimal place.
Solution Summary: The author calculates a 50lb weight supported from two cables and the system is in equilibrium. The horizontal components of the two forces must be equal in magnitude.
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
|
F
1
and
F
2
|
,
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
|
F
1
and
F
2
|
.
Write the answers in exact form with no radical in the denominator. Also give approximations to 1 decimal place.
The force required to compress a spring varies directly as the change in the length of the spring. If a force of 12 pounds is required to compress a certain spring 3 inches, how much force is required to compress the spring 5 inches?
The force F exerted by the wind on a window varies jointly with the area A of the window and the square of the velocity of the wind. If the force on a window if 20 square feet is 10 pounds when the wing velocity is 5 mph, find the force on a window of 24 square feet when the wing velocity is 8 mph
A beam is a structural element that primarily resists loads applied laterally to the beam's axis. The maximum load of a horizontal beam that is supported at both ends varies jointly as the width and the cube of the height and inversely as the length between the supports. A beam 6 m long, 0.1 m wide, and 0.06 m high supports a load of 360 kg. What is the maximum load supported by a beam 16 m long, 0.2 m wide, and 0.08 m high?
University Calculus: Early Transcendentals (3rd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.