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A frame ABC is supported in part by cable DBE that passes through a frictionless ring at B....

Question:

A frame {eq}ABC {/eq} is supported in part by cable {eq}DBE {/eq} that passes through a frictionless ring at {eq}B {/eq}. Determine the magnitude and direction of resultant forces exerted by the cable at {eq}B {/eq} knowing that the tension in the cable is {eq}435 N {/eq}. Also, determine the components of the force exerted by the cable on the supports at {eq}D. {/eq} ( Round the resultant to the nearest number, and the directions to a single decimal place).

Resultant force

A single force that is able to replace all other forces that are acting on a body is termed as a resultant force. The resultant force is also exerted the same effect on the body as that of the system of forces.

Answer and Explanation:

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Given data:

  • The tension in the cord of BD and BE is: {eq}T = 435\;{\rm{N}} {/eq}.
  • The position vector of B is: {eq}{\vec r_B} = \left( {480\hat i...

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Resultant Force: Definition & Formula

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Chapter 18 / Lesson 5
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In lots of situations, more than one force may act on an object. In this lesson, learn how to find the resultant force of two forces on a single object and how to use this to determine how the object will move.


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