What is the weight that will balance the object Q?

10
0
Poster has been reminded that the use of the HH Template and showing work is not optional
Here is diagram for Tower Crane.
BlSChqD.jpg

The Rack weight P=700kN, and the maximum load capacity for this crane is W=200kN. The long beam length is 12 metres, and the balance object weighs Q. The short beam length is 6 metres. What is the weight of Q to keep the crane's balance at all situation?
 

Attachments

10
0
Why should it be like that?
There are 2 situations
Full load, W=200 kN. let ##Q_{min}## stands for the minimum weight requirement of Q.

$$\sum m_B(F)=0, (6+2)Q_{min} + 2P - (12-2) W=0, N_A=0$$

No load, W=0 kN. let ##Q_{max}## stands for the maximum weight requirement of Q

$$\sum m_A(F)=0, (6-2)Q_{max} - 2P =0, N_B=0$$
 

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top