Grade 11Mechanics

sumof two forces at a point is 16N.IF THE RESULTANT IS NORMAL TO SMALLER FORCE AND HAVE A MAGN ITUDE 8N. the two forces are ? 6 and 10n how

Arnab Biswas

12 Years agoGrade 11

1 Answer

Sher Mohammad

12 Years ago

assume smaller force is fsand larger force is fl and resultant is fr. as given in the question, when we will form the parallelogram the let acute angle between fs and fl is theta. so these two eqns will be formed-

fs=fl*cos(theta)...1

fr=fi*sin(theta)...2

fs+fl=16...3 fr=8

from 3 and 1-

16=fl(1+cos(theta))...4

by 2/4 0.5=sin(theta)/1+cos(theta)

.5=2sin(theta/2)*cos(theta/2)/2cos^2(theta/2)

0.5=tan(theta/2)

theta=2tan^-1(.5)=tan^-1(2*.5/1-.25)

=>tan(theta)=4/3

sin(theta)=4/5

cos(theta)=3/5

so fl=8*5/4=10N and fs=6N

sher mohammad

b.tech iit delhi

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sumof two forces at a point is 16N.IF THE RESULTANT IS NORMAL TO SMALLER FORCE AND HAVE A MAGN ITUDE 8N. the two forces are ? 6 and 10n how

Arnab Biswas

1 Answer

Sher Mohammad

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