Question

What do you know to be true about the values of p and w 60 30 45.

Answer 1

The equation T₁ sin(30°) + T₂ sin(45°) = w has two unknowns, T₁ and T₂. However, we can substitute the expression for T₂ in terms of T₁ to reduce this equation to one equation with one unknown.

Step-by-step explanation:

The equation T₁ sin(30°) + T₂ sin(45°) = w has two unknowns, T₁ and T₂. However, we can substitute the expression for T₂ in terms of T₁ to reduce this equation to one equation with one unknown.

Let's solve for T₂ in terms of T₁:

T₁ sin(30°) + T₂ sin(45°) = w

T₁(1/2) + T₂(√2/2) = w

T₁/2 + (T₁(√2))/2 = w

(T₁ + T₁(√2))/2 = w

T₁(1 + √2)/2 = w

T₁ = (2w)/(1 + √2)

Now that we have the value of T₁, we can substitute it back into the original equation to find T₂.