A 134 N bird feeder is supported by three cables as shown in Figure P4.17. Find the tension in each cable. right cable 1 N
left cable 2
Your response differs from the correct answer by more than 10%. Double check your calculations. N
5646
To find the tension in each cable that supports the bird feeder, we can use the concept of equilibrium. When an object is in equilibrium, the sum of the forces acting on it in any direction must be zero.
Let's analyze the forces acting on the bird feeder:
1. The weight of the bird feeder is given as 134 N. This force acts vertically downwards.
2. The cable on the right side exerts a force in the horizontal direction towards the left.
3. The cable on the left side exerts a force in the horizontal direction towards the right.
4. The cable at the top exerts a vertical force upwards.
Since the bird feeder is not moving vertically, the sum of the vertical forces must be zero. Therefore, the vertical force provided by the top cable is equal to the weight of the bird feeder, which is 134 N.
Now, let's consider the horizontal forces. Since the bird feeder is not accelerating horizontally, the sum of the horizontal forces must be zero as well. Therefore, the tension in the right cable must equal the tension in the left cable.
Let's denote the tension in each cable as T. We have the following equations:
T (right cable) - T (left cable) = 0 (horizontal forces)
T (top cable) = 134 N (vertical forces)
Solving the first equation, we find that T (right cable) = T (left cable).
Therefore, the tension in each cable is 134 N / 2 = 67 N.
It seems like there might be a mistake in the given answer, which states that the tension in the right cable is 1 N. However, based on the equation of equilibrium, the tension in each cable should be 67 N.