A box weighing 200 newtons is hanging from the ceiling. The value of 2 is 65°. Tensions T1 and T2 are 70 newtons and 130 newtons respectively. What is 0 1
I'm sorry, but I'm unable to determine what you mean by "0 1" based on the given information. Could you please provide more context or clarify your question?
I'm sorry, I don't understand what you mean by "0 1." Could you please provide more information or clarify your question?
To solve for θ, we can use the concept of equilibrium where the sum of all the forces acting on an object is equal to zero.
In this case, we have a box hanging from the ceiling with two tension forces acting on it, T1 and T2. The weight of the box is also acting downwards.
The force of gravity acting on the box is given by its weight, which is 200 newtons, and it acts vertically downwards.
We can break down the weight force into its components. The vertical component (W_vertical) is equal to the weight (200 N) and the horizontal component (W_horizontal) is equal to zero.
To find T1 and T2, we need to analyze the forces acting on the box. The vertical forces include T1 and T2, as well as the weight of the box (W_vertical).
Since θ is defined as the angle between the horizontal component of T2 and the vertical direction, we can use trigonometric ratios to find θ.
Using trigonometry, we can write the equation:
T2_horizontal = T2 * cos(θ)
Since T1_horizontal and T2_horizontal are equal (since the box is in equilibrium), we have:
T1_horizontal = T1 * cos(0°)
Since cos(0°) = 1, we can simplify T1_horizontal to:
T1_horizontal = T1
Setting T1_horizontal equal to T2_horizontal, we get:
T1 = T2 * cos(θ)
Simplifying for θ, we can solve for it:
cos(θ) = T1 / T2
θ = arccos(T1 / T2)
Plugging in the given values, we have:
θ = arccos(70 / 130)
Using a calculator, we find:
θ ≈ 54.01°
Therefore, θ is approximately 54.01°.