question_answer

If the resultant of two unlike parallel forces of magnitudes 10 N and 16 N act along a line at a distance of 24 cm from the line of action of the  smaller force is 8 N, then the distance between the lines of action of the force is:

A)  12 cm                   

B)         8 cm                     

C)         10.66 cm                             

D)  18 cm

Correct Answer: C

Solution :

Let the forces of magnitudes 10 N and 16 N be acting at A and B respectively. Suppose the resultant acts at C. Then Taking moment of forces about B. \[10.x=8.(24-x)\]                 \[\Rightarrow \]    \[10x=192-8x\]                 \[\Rightarrow \]    \[18x=192\] \[\Rightarrow \]    \[x=10.66\,cm\]