Question

. If the centripetal force is of the form , Find the values of a,b and c

Answer 1

Answer:  Given ⇒

Centripetal Force = 

∵ Dimension of Force = M L T⁻²

∴ Dimensionally It can be written as ⇒

∴ M L T⁻² = 

Now, Equating the Powers of the Similar Quantities,

 a = 1, b + c = 1 and -b = -2.

∴ b = 2

Now, 2+ c = 1

c = -1

Thus, the Value of a = 1, b = 2 and c = -1.

Hope it helps.

Answer 2

Answer:

Given ⇒

Centripetal Force = 

∵ Dimension of Force = M L T⁻²

∴ Dimensionally It can be written as ⇒

∴ M L T⁻² = 

Now, Equating the Powers of the Similar Quantities,

  a = 1, b + c = 1 and -b = -2.

∴ b = 2

Now, 2+ c = 1

c = -1

Thus, the Value of a = 1, b = 2 and c = -1.