Question

The angle between two coplanar forces when the resultant is maximum and minimum respectively are

Answer 1

Answer:

0 deg  & 180 deg

Explanation:

The angle between two coplanar forces when the resultant is maximum and minimum respectively are 0 deg & 180 deg respectively

Let say two forces = A & B

with angle - α

Resultant = √A² + B² + 2ABCosα

Only term dependent of Angle = 2ABCosα

resultant will be maximum when 2ABCosα is + ve & Maximum

2ABCosα is max when Cosα is max

Cosα max = 1 when α = 0 deg

resultant will be minimum when 2ABCosα is - ve & Maximum in magnitude

2ABCosα is -ve max when Cosα is -1

Cosα max = - 1 when α = 180 deg