Question

If two masses are in the ratio 3:5 are to be accelerated by forces in the ratio 5:3, find the acceleration ratio.

Answer 1

2 Masses are in ratio 3:5 and Let the mass of the objects be 3x and 5x.

Let F1 and F2are the two forces with a1 and a2 accelerations.

∴ F1 = m1a1 = 3xa1

and F2 = m2a2 = 5xa2

Since F1:F2 = 5:3, we have

3xa1:5xa2 :: 5:3

⇒ a1:a2 = 5×5:3×3

⇒ a1:a2 = 25:9