Question
6. A weight of 8000N is supported on two chains A an B as shown. Find the force in each of the chains.
Answer
3.2
(346 Votes)
Morris
Elite · Tutor for 8 years
Answer
By performing the above calculations, the force in chain A and B respectively are each 4000 N.
Explanation
## Step1: The problem statement reveals that two chains are supporting a weight of 8000 N. Moreover, because it's not mentioned, it is presumable that chains A and B are supporting the weight equally. ## Step2: Let's denote
and
as the forces in chains A and B, respectively. ## Step3: As per the principles of Statics, the sum of forces sustaining the weight must equate to the given weight, i.e., the weight gets equally supported by the chains. Thus, Mathematically it can be formulated as:###
## Step4:If we suppose that both chains are enduring uniform burden distribution (we can make this supposition, as the problem doesn't give specifications to the contrary), then the force or tension in each chain can be measured as half of the total weight, i.e.,###
and