Free-Body Diagram: A sketch showing only the forces on the selected particle.Example:In a ship-unloading operation, a3500-lb automobile is supported by acable. A rope is tied to the cable andpulled to center the automobile overits intended position. What is thetension in the rope?B.30°SOLUTION:Construct a free-body diagram for the particle at the junction of the rope andcable.Apply the conditions for equilibrium by creating a closed polygon from theforces applied to the particle.Apply trigonometric relations to determine the unknown force magnitudes.3500 lbITTT

Mass of car = 3500 lb We have to find the tension So , we will use force's x components and y…

In a ship-unloading operation, a 3500-lb automobile is supported by a cable. A rope is tied to the cable and pulled to center the automobile over its intended position. What is the tension in the rope? 2° 30°

In a ship-unloading operation, a 3500-lb automobile is supported by a cable. A rope is tied to the cable and pulled to center the automobile over its intended position. What is the tension in the rope? 2° 30°

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section: Chapter Questions

Problem 28CT: Force Tyler and his cousin Kelly have attached a rope to the branch of a tree and tied a board to...

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

Free-Body Diagram: A sketch showing only the forces on the selected particle.
Example:
In a ship-unloading operation, a
3500-lb automobile is supported by a
cable. A rope is tied to the cable and
pulled to center the automobile over
its intended position. What is the
tension in the rope?
B.
30°
SOLUTION:
Construct a free-body diagram for the particle at the junction of the rope and
cable.
Apply the conditions for equilibrium by creating a closed polygon from the
forces applied to the particle.
Apply trigonometric relations to determine the unknown force magnitudes.
3500 lb
ITTT

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Force Tyler and his cousin Kelly have attached a rope to the branch of a tree and tied a board to the other end to form a swing. Tyler sits on the board while his cousin pushes him through an angle of 25.5 and holds him there. If Tyler weighs 95.5 pounds, find the magnitude of the force Kelly must push with horizontally to keep Tyler in static equilibrium. See Figure 13.
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