What is the tension in the string at the top of the ball's path?

Click For Summary
SUMMARY

The tension in the string at the top of the ball's path is calculated using the formula Ft = (mv²/r) + mg. For a ball with a mass of 0.300 kg, moving at a speed of 4.00 m/s in a vertical circle of radius 60.0 cm, the gravitational force (mg) is 2.94 N. The total tension (Ft) at the top of the path is determined to be 5.06 N after correcting the initial calculation error.

PREREQUISITES
  • Understanding of Newton's second law (EF = ma)
  • Knowledge of circular motion dynamics
  • Familiarity with gravitational force calculations (mg)
  • Basic algebra for solving equations
NEXT STEPS
  • Study the principles of circular motion in physics
  • Learn about tension in strings during vertical circular motion
  • Explore the effects of varying mass and speed on tension
  • Investigate real-world applications of circular motion dynamics
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of circular motion and tension in strings.

Toxage
Messages
17
Reaction score
0

Homework Statement



Picture: http://img151.imageshack.us/img151/9393/physicszn8.jpg

A ball on the end of a string is cleverly revolved at a uniform rate in a vertical circle of radius 60.0 cm, as shown in Fig. 5-33. Its speed is 4.00 m/s and its mass is 0.300 kg.

(a) Calculate the tension in the string when the ball is at the top of its path.


Homework Equations



EF = ma


The Attempt at a Solution



EF = ma
Ft + Fg = ma
Ft = mac - Fg

Ft = ((mv^2)/r)) + mg
Ft = 8 - 5.88
Ft = 2.12

This answer is incorrect.
 
Last edited by a moderator:
Physics news on Phys.org
Recalculate mg.

;)
 
thejinx0r said:
Recalculate mg.

;)

Wow, I made a huge mistake... I had .6m * 9.8m/s^2 for mg... lol

New MG

0.300kg * 9.8m/sec^2 = 2.94.

8 - 2.94 = 5.06 N.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
1K
Replies
8
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
27
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
20K
Replies
19
Views
4K
Replies
6
Views
4K
  • · Replies 15 ·
Replies
15
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K