Solve the System to Find W₁ and W₂ $W _ { 1 } = 192 \mathrm { lb } ; W _ { 2 } = 235.15 \mathrm { lb }$

question 419

Multiple Choice

Solve the system to find W₁ and W₂.
-Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If
A 192-pound force is applied at the peak of the truss, then the forces or weights W1 and W2
Exerted parallel to each rafter of the truss are determined by the following linear system of
Equations.

• A) \(W _ { 1 } = 192 \mathrm { lb } ; W _ { 2 } = 235.15 \mathrm { lb }\)
• B) \(W _ { 1 } = 172.14 \mathrm { lb } ; W _ { 2 } = 140.55 \mathrm { lb }\)
• C) \(W _ { 1 } = 140.55 \mathrm { lb } ; W _ { 2 } = 172.14 \mathrm { lb }\)
• D) \(\mathrm { W } _ { 1 } = 70.28 \mathrm { lb } ; \mathrm { W } _ { 2 } = 86.07 \mathrm { lb }\)

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Definitions:

Erode Material

Refers to substances or objects that have experienced erosion, the process where natural forces like water and wind remove soil, rock, or dissolved material from one location and then transport it to another.

Crust

The thin, solid, outermost layer of the Earth, lying above the mantle.

Himalaya

A major mountain range in Asia, forming a barrier between the Plateau of Tibet to the north and the alluvial plains of the Indian subcontinent to the south.

Lithosphere

The rigid outer layer of the Earth, comprising the crust and the upper mantle, which is involved in tectonic processes like plate movements.