Tension on a rope from jumping tightwalker

  • Thread starter Thread starter fanman791
  • Start date Start date
  • Tags Tags
    Rope Tension
Click For Summary
SUMMARY

The tension in the rope during the jump of a 65.0 kg tightrope walker, who accelerates upwards at 7.70 m/s², is calculated by considering both gravitational and upward forces. The correct approach involves recognizing that the tightrope walker adds force to the rope as he jumps, rather than slackening it. The formula used is T = m(g + a), where T is tension, m is mass, g is gravitational acceleration (9.8 m/s²), and a is the upward acceleration (7.70 m/s²). This results in a tension value that accurately reflects the forces at play during the jump.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Basic knowledge of forces acting on objects
  • Familiarity with trigonometric functions, specifically sine
  • Concept of tension in ropes and cables
NEXT STEPS
  • Calculate tension in different scenarios using varying masses and accelerations
  • Explore the effects of angle on tension in ropes
  • Learn about dynamics of jumping and landing in physics
  • Investigate real-world applications of tension in tightrope walking
USEFUL FOR

Physics students, educators, and anyone interested in the mechanics of forces and tension in dynamic systems, particularly in the context of tightrope walking and similar activities.

fanman791
Messages
3
Reaction score
0
A 65.0 kg tightrope walker stands at the center of a rope. The rope supports are 10 m apart and the rope sags 10.0^\circ at each end. The tightrope walker crouches down, then leaps straight up with an acceleration of 7.70 {\rm m}/{\rm s}^{2} to catch a passing trapeze. What is the tension in the rope as he jumps?

F=ma
Forces, basically.

So, based on the information, I think it's correct to assume because of the tightwalker jumping upwards then the Force from the tightwalker is slackened to 9.8(gravity) - 7.70(acceleration upwards).
From there: F=Fysin(\theta)+Fysin(\theta) - ma (from the tightwalker) = 0

I plug it in and get 180.71 and it's not the correct answer. I'm doing something wrong here.
 
Physics news on Phys.org
"because of the tightwalker jumping upwards then the Force from the tightwalker is slackened"

They want the tension as he jumps, before he leaves the rope.
Hint: The tightrope walker pushes down to jump up, putting more tension on the rope.
 
Maybe I am wrong, but I think the 7.7 m/s^2 that is given is the absolute acceleration of the person. So, the acceleration and mass are both given, which makes it a simple calculation. Using those numbers do you get the correct answer?
 
ty Imperitor i got it

it doesn't slacken as he jumps - it adds more force to the equation
therefore, it = ma(jumper) + m(7.7)(jumper adding force)

and if i plug those in it yields the correct answer :D
 

Similar threads

  • · Replies 38 ·
2
Replies
38
Views
5K
Replies
43
Views
5K
Replies
11
Views
3K
  • · Replies 25 ·
Replies
25
Views
5K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 14 ·
Replies
14
Views
3K
Replies
5
Views
8K
  • · Replies 16 ·
Replies
16
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
10K