The 500-lb force acting on the frame is to be resolved into the two components acting along the axis of the struts AB and AC. If the component of force along AC is required to be 300 lb, directed from A to C, determine the magnitude of the force acting along AB and the angle of the 500-lb force.

The 500-lb force acting on the frame is to be resolved into the two components acting along the axis of the struts AB and AC. If the component of force along AC is required to be 300 lb, directed from A to C, determine the magnitude of the force acting along AB and the angle of the 500-lb force.

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter2: Basic Operations With Force Systems

Section: Chapter Questions

Problem 2.104RP: The three forces of magnitude P can be replaced by a single, equivalent force R acting at point A....

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Question

The 500-lb force acting on the frame is to be
resolved into the two components acting along the
axis of the struts AB and AC. If the component of
force along AC is required to be 300 lb, directed
from A to C, determine the magnitude of the force
acting along AB and the angle of the 500-lb force.
B
60°
A
Ꮎ
F = 500 lb
45°
C

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Step 1: Data available and defining angles

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Step 2: Determination of Force In AB using Lamis Theorem

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Step 3: Force and angle calculation

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