11481

# Weight Suspended by Two Cables

This Demonstration calculates the tension forces in two cables that support a weight.
Select equal cable lengths and the tension is the same in each cable; the tension changes as a slider changes the angle between the cables.
Select unequal cable lengths and the tension in the cables is different. Changing the angle of each cable to the horizontal with a slider changes the cable length.
Change the mass of the ball with a slider.

### DETAILS

For equal cable lengths, a force balance in the direction is done to determine the cable tension:
,
rearranging to solve for tension:
,
where is tension (N),
is the angle (degrees),
is the mass of the ball (kg) and
is acceleration due to gravity.
When the cable lengths are unequal, force balances in the and directions are done to calculate the tension forces in each cable:
,
,
where and are the tensions in the left and right cables (N), and and are the angles of the left and right cables (degrees).

### PERMANENT CITATION

 Share: Embed Interactive Demonstration New! Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details » Download Demonstration as CDF » Download Author Code »(preview ») Files require Wolfram CDF Player or Mathematica.

#### Related Topics

 RELATED RESOURCES
 The #1 tool for creating Demonstrations and anything technical. Explore anything with the first computational knowledge engine. The web's most extensive mathematics resource. An app for every course—right in the palm of your hand. Read our views on math,science, and technology. The format that makes Demonstrations (and any information) easy to share and interact with. Programs & resources for educators, schools & students. Join the initiative for modernizing math education. Walk through homework problems one step at a time, with hints to help along the way. Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet. Knowledge-based programming for everyone.
 © 2017 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS
 Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX Download or upgrade to Mathematica Player 7EX I already have Mathematica Player or Mathematica 7+