Question

A dynamometer is attached to two blocks of masses $6kg$ and $4kg$. Forces of $20N$ and $10N$ are applied on the blocks as shown in figure. Find the dynamometer readingin the steady state.

Answer 1

The average force is$=\frac{(20+10)}{2}=15N$

This means that the reading on the dynamometer lies between $10$ and $15$.

Let the reading on the dynamometer be $xN$.

Equating the two we have-

$\frac{(20-x)}{6}=\frac{(x-10)}{4}$

$80-4x=6x-60$

$140=10x$

$x=\frac{140}{10}$

$x=14N$

The acceleration $=\frac{(20-14)}{6}=1$

= $1m/s^2$