Jump to content

weight held by a string at an angle.

Final_HB
in Homework Help

Featured Replies

Original question:

 

A load of weight W is supported in equilibrium by two strings attached to it. One is inclined at an angle 30 to the vertical, and the other is inclined at an angle 60 to the vertical. If either rope breaks if the tension exceeds a value of To, Find the greatest value of W that can be supported.

 

What I have so far:

 

Well, its at equilibruim. So all the forces equal 0.

Since we are looking for the greatest value, we set the tension in both strings as To as specified.

Its at angles, so we need to get the horizontal and vertical components of each string. Which look like:

To Cos30 + To Sin30 and To Cos60 +To Sin60

 

Am I good so far? Main problem is working out the tension... So hints on where to go from there would be greatly appreciated :)

Good morning Final_HB.

 

I'm glad you reviewed yesterday's problem, shows the value of reviewing.

 

Yes you are on the right track, but W only appears in the vertical expression.

 

You formally obtain the condition you should write this as an inequality W <= vertical opposing forces

 

If you rearrange the expression you will come to the solution.

  • Author

Hello again :P

Sounds, and looks good to me :D

 

This place is great :) so helpful, and quick to respond as well!!

thank you again.

Archived

This topic is now archived and is closed to further replies.

Go to topic listing

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Configure browser push notifications
Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.