**Suspending a Speaker**

Part A = 365 N

**Solution Below:**

Part A

Use 9.80 m/s

^{2}for the magnitude of the acceleration due to gravity.

The tension will reflect forces in both the x and y direction. The tension in the x-direction will have to cancel between the two cables, but the tension in the y direction won’t. Overall, the tension will be greater than just the force due to gravity, because it will reflect the x-contribution from each individual cable.

The force due to gravity is 9.8 * 24 = 235.2 N. This mean each cable experiences 117.6 N of vertical tension (235.2 / 2). For the x-direction, we know that the length of each cable is 3.10 m and the height is 1.0 m. This means we can solve for the angle (sin(θ) = 1.0/3.10). So θ = 18.82°. The vertical component of the tension is Ty = Tsin(θ). Since we know that Ty = 235.2 N, we can solve for T. T is just 117.6 / sin(18.82°), or 365 N.

365 N

This equation is very misleading. You say Ty=Tsin(theta). Then you say solve for T. T=Ty/sin(theta) This would give you an answer of roughly 730. One needs to divide T or total answer by 2. Please clarify this in the future.

i need the solution

We’re confident that the posted solution is correct. If the numbers in your version of the problem are different, you could just follow our example through and you should get the correct answer. Can you be more specific?

How can you assume Ty= 325N. what information told you that?

Unfortunately that was a typo. It should have read 235 N, or 235.2 N to be precise. The answer of 365 N is correct though.