Question

$n$ identical block each of mass $m$ are connected by means of mass less strings and a pulling force $F$ is applied on the first block. Find the tension in the string connecting $k^{th}$ and $(k+1{)}^{th}$ blocks. another pulling force $F$ is applied on the last block, find the tension in the same string

• A. $\left[F\right(n-k\left)/n\right]N,F$.
• B. $\left[F\right(n-k\left)/n\right]N,nF$
• C. $\left[F\right(n+k\left)/n\right]N,F$
• D. $\left[2F\right(n-k\left)/n\right]N,F$

Answer 1

The correct option is A $\left[F\right(n-k\left)/n\right]N,F$.

$n$ Identical blocks each of mass $m$ are connected by means of mass less strings and a pulling force $F$ is applied on the first block. Then the tension in the string connecting $k^{th}$ and ${\left(k+1\right)}^{th}$ block is given by

$T_{K,K+1}=F\times \frac{\left(n-k\right)}{n}$

If another pulling force $F$ is applied on the last block, the tension in the same string is

$T_{K,K+1}=F$