HardMathematicsHigh School (11–12)Vectors and Three-Dimensional Geometry › Vector AlgebraNumericalA-LevelIBAEEE (Amrita)AMUEEEAP EAPCETBCECE
Two cables pull on a fixed hook on a crane…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Two cables pull on a fixed hook on a crane. The first pulls with the force kilonewtons, and the second pulls with kilonewtons. A third cable is added to keep the hook still, so that the three forces balance. Find the force that the third cable must give. Give its three components and its magnitude. Say what you would see if the third cable were removed.
Need a reminder? The key ideaShow
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The sum of the first two. .
Step 2. The third force. kilonewtons.
Step 3. The magnitude. kilonewtons.
Answer: the components are , and kilonewtons, and the magnitude is about kilonewtons.
What if? With the third cable removed, the hook is pulled with the force , which has magnitude about kilonewtons, and it moves in that direction.
Discussion (0)
Log in to join the discussion.
Loading…