Consider the set-up shown. It has rocker at A, which resists downward displacement, but allows horizontal and upward displacement. Three forces are applied at B, C and D. There is a pin at D, which resists horizontal and vertical displacement but allows rotation. You can neglect the weight of the beam. The beam has a height of 0.2 m and d₁ = 3 m, d₂ = 3 m, d3 = 1.5 m, |F₁ | = 300 N, |F₂| = 100 N, |F3|= 100 N, 0 = 35°. 10.1m 0 C Te B d₁ F₂ d₂ D

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.97P: The figure shows a wire cutter. Determine the cutting force on the wire at A when the 75-N forces...
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using the image below can you help me answer the following questions please.

 

a) Draw a Free Body Diagram to represent this set-up and write down the equations for static equilibrium.

 

b) Calculate the horizontal component of the reaction force from the pin at ?.

c) Calculate the total moment about ?, leaving your answer in terms of the unknown force components.

d) Use c) and d) to find the reaction force of the rocker at ? and the vertical component of the reaction on the beam caused by the pin at ?.

Consider the set-up shown. It has rocker at A, which resists downward displacement, but
allows horizontal and upward displacement. Three forces are applied at B, C and D. There
is a pin at D, which resists horizontal and vertical displacement but allows rotation. You can
neglect the weight of the beam. The beam has a height of 0.2 m and d₁ = 3 m, d₂:
= 3 m,
d3 = 1.5 m, |F₁ | = 300 N, |F₂| = 100 N, |F3| = 100 N, 0 = 35°.
F₂
10.1m 0 C
d₁
B
d₂
d3
D
Transcribed Image Text:Consider the set-up shown. It has rocker at A, which resists downward displacement, but allows horizontal and upward displacement. Three forces are applied at B, C and D. There is a pin at D, which resists horizontal and vertical displacement but allows rotation. You can neglect the weight of the beam. The beam has a height of 0.2 m and d₁ = 3 m, d₂: = 3 m, d3 = 1.5 m, |F₁ | = 300 N, |F₂| = 100 N, |F3| = 100 N, 0 = 35°. F₂ 10.1m 0 C d₁ B d₂ d3 D
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