## Tension Force

Tension or tensile force in a rope or stand that results from that object being stretched. See how to approach a variety of tension problems here.

**Tension (F _{T}) **is the pulling force exerted by a strand (ie. string) in the opposite direction of a force applied.

**(Unit: N)**

An object being lifted by a rope and is not accelerating creates a tension equal to weight. No acceleration means the object is at rest in the air or in constant motion.

**Example Problems**

**1. ****What is the tension in the rope necessary to lift a 150 N object constantly up?**

**2. What is the normal force of a 15 kg object when on the ground and a rope with 50N of tension is pulling up?**

### Tension with Multiple Vertical Ropes

When there is one rope up all of the weight has to be supported by that one rope and the tension is equal to weight.

When there are multiple ropes all directed straight up each will support an equal amount of weight. To find this you would **divide the weight by number of strands**.

**3. Susie, who weighs 650 N, suspends herself from the monkey bars holding herself up with both hands horizontal. What is the tension in each arm?**

**Divide by the number of ropes for tension in each when you have multiple ropes suspending an object vertically.**

### Tension at an Angle

As the angle from the vertical increases tension increases. Tension is the most when the painting is at the highest point in the animation and the angle (Ө) is the most.

**Calculating Tension When at Equal Angles**

How to solve tension at an angle when at **equal angles**.

A. Figure what each rope has to lift vertically

B. Solve for the hypotenuse for the tension this individual rope

**4. What is the tension in each of two ropes holding up a 9 kg mass at 35° from the vertical as seen to the right**

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