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Grade 11General Physics

the maximum and minimum magnitude of the resultant of two forces are 16 N and 4N.calculate t he magnitude of individual force.

larisha sharma

13 Years agoGrade 11

9 Answers

chukkaiwar rohit

13 Years ago

max resultant of two forces x and yy is x+y and min of the two forces is x-y

x+y=16

x-y=4

=>x=10N y=6N

Saurabh Anand

Approved Tutor Answer13 Years ago

let the two vector be a and b then maxm resultant would be a+b=16 and minm resultant would be a-b=4...solve these two eqns and u will get the answer i.e. 10 and 6...

Akash Kumar Dutta

13 Years ago

10,6

larisha sharma

13 Years ago

but for adding 2 vector ..formula is[ a2 + b2 +2abcos thetA]^1/2 OVER HERE WE DO NOT KNOW THETA

Saurabh Anand

13 Years ago

??but for adding 2 vector ..formula is[ a2 + b2 +2abcos thetA]^1/2 OVER HERE WE DO NOT KNOW THETA...

see in case of maxm resultant we take theta equals to 0degree i.e. cos(theta)=1

n in case of minm resultant we take theta = 180 degree i.e. cos(theta)=-1

SOURAV MISHRA

13 Years ago

CLEARLY YOU HAVE TO SOLVE A SYSTEM OF SIMULTANEOUS EQUATIONS. THIS IS VERY EASY AND I WILL MENTION THE ANSWER DIRECTLY.

THE GREATER ONE IS 10N AND THE SMALLER ONE IS 6N.

Suraj Tamang

11 Years ago

See, maximum resultant will be produced when angle between the two forces are 0^o so cos 0 = 1

therefore, the resultant equation will give you (a + b)² i.e R = a + b

and mimimum resultatn will be produced when the two forces are actining on the opposite direction ie angle between them is 180^o, so cos 180 = – cos 0 = -1 that gives you R = a – b then solve the simple simultanius equation a + b = 16 and a – b = 4.

Suraj Tamang

11 Years ago

See, maximum resultant will be produced when angle between the two forces are 0^o so cos 0 = 1

therefore, the resultant equation will give you (a + b)² i.e R = a + b

and mimimum resultatn will be produced when the two forces are actining on the opposite direction ie angle between them is 180^o, so cos 180 = – cos 0 = -1 that gives you R = a – b then solve the simple simultanius equation a + b = 16 and a – b = 4.

Kushagra Madhukar

6 Years ago

Dear student,

Please find the solution to your problem

Let the forces be F₁ and F₂, where F₁ > F₂

Now the maximum resultant is possible when both the forces act in the same direction, i.e. F_res = F₁ + F₂

Hence, F₁ + F₂ = 16

Now the minimum resultant force is possible when forces act in opposite direction, i.e. F_res = F₁ – F₂

Hence, F₁ – F₂ = 4

Solving the two equations, we get

F₁ = 10 N

F₂ = 6 N

Thanks and regards,

Kushagra

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