# A aerialist on a high platform holds on to a trapeze attached to a sup

• cmkc109
In summary, the problem involves an aerialist on a high platform holding onto a trapeze attached to a support by a 8.2-m cord. The cord makes an angle of 39.8deg with the vertical before the aerialist jumps off. The trapeze is released at the instant it is 0.64 m below its initial height. Using the equation cos(theta) = A/H, the angle θ that the trapeze cord makes with the vertical at this instant can be calculated to be 32.2 deg. The length of the rope remains constant at 8.2 m and by examining the triangles in the attached figure, a better understanding of the solution can be gained.
cmkc109

## Homework Statement

A aerialist on a high platform holds on to a trapeze attached to a support by a 8.2-m cord. Just before he jumps off the platform, the cord makes an angle α of 39.8deg with the vertical. He jumps, swings down, then back up, releasing the trapeze at the instant it is 0.64 m below its initial height. Calculate the angle θ that the trapeze cord makes with the vertical at this instant.

cos(theta) = A/H

## The Attempt at a Solution

So I found the solution online.
8.2 cos 39.8 = 6.3
6.3 + 0.64 =6.94
cos ^-1 (6.94 / 8.2) = 32.2 deg

However I am not understanding it at all. I don't understand where is the initial position, when the rope is vertical or when the guy is holding on to it?
I have attached the picture , can someone label on the picture or explain it please?

My understanding is, the middle is 8.2m , the right rope is 6.3m, and the left rope is 6.94m
but then the calculation doesn't really make sense.
since if the middle is 8.2, to find l, u should do cos 39.8 = 8.2 / l, and l will be 10.67 instead.

#### Attachments

• swing.jpg
8.8 KB · Views: 2,334
The length of the rope is ##l## = 8.2 m. The length of the rope does not change.

Examine some of the triangles shown in the attached figure.

#### Attachments

• Trapeze.jpg
11.9 KB · Views: 3,072
Last edited:
very helpful, thank you very much.

## 1. How does an aerialist stay balanced on a high platform while holding onto a trapeze?

An aerialist uses their core muscles and body awareness to maintain balance while on a high platform. They also rely on training and practice to develop the strength and control needed for this type of performance.

## 2. What safety measures are in place for an aerialist performing on a high platform?

Safety is a top priority for aerial performers. The platform and rigging are carefully inspected and secured before each performance. The aerialist also wears a safety harness and is trained in proper safety techniques, such as how to properly grip the trapeze and how to fall safely if needed.

## 3. How does the trapeze stay attached to the sup (support structure)?

The trapeze is securely attached to the sup using a combination of clamps, carabiners, and rigging equipment. These attachments are carefully checked and maintained to ensure the safety of the performer.

## 4. What skills and training are needed to perform as an aerialist on a high platform?

Aerialists need a combination of strength, flexibility, and body awareness to perform on a high platform. They also undergo extensive training in aerial techniques, safety procedures, and choreography. Many aerialists also have a background in dance or gymnastics.

## 5. What is the purpose of an aerialist performing on a high platform?

The purpose of an aerialist performing on a high platform is to create a visually stunning and thrilling performance for the audience. It requires a high level of skill and control to perform on a high platform, making it a captivating and impressive spectacle.

### Similar threads

• Introductory Physics Homework Help
Replies
2
Views
6K