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A 240 lb force (P) directed vertically downward is applied to the toggle vise at C. Knowing that link BD is 6 in long and that a=4 in. determine the horizontal force exerted on block E. (Round the final answer to two decimal places).
The horizontal force exerted on block E is ( )lb.

Answer :

The horizontal force applied on block E is 1343.89 lbs

Let [tex]E_{y}[/tex] and Eₓ are reactions and AD=d, now as ∑[tex]M_{A}[/tex]=0=D

[tex]E_{yx}[/tex]d = [tex]P_{x}[/tex]d=D[tex]E_{y}[/tex]=P=240lbs

BB'=a×sin15°

     =1.035m

B'E=6×cos15°

now,∑[tex]M_{B}[/tex]=0

Eₓ×BB'=[tex]E_{y}[/tex]×B'E

Eₓ=240×5.795/1.035

Eₓ=1343.89 lbs

Any action that seeks to preserve, modify, or deform a body's motion is considered to be a force in mechanics. The concept of force is typically described in terms of Isaac Newton’s three laws of motion set forth in his Principia Mathematica (1687). (1687). Newton's first law states that until a force is applied to a body, it will remain in either its resting or uniformly moving state in a straight path. The second law indicates that when an external force acts on a body, it creates acceleration.

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