Question

What are the dimensions of a and b in the relation F=at + bx where F is force and x is displacement?

Answer 1

Dimension of a = MLT^-3 and b = MT^-1

Answer 2

Answer:

a=[M1 L1 T-3]

b=[M1 L0 T-2]

Explanation:

F=at+bx

since f=RHS, the units must be the same, ie.-Newton

so,

F=at

a=F/t

a={MLT-2]/T

a=[MLT-3]

SIMILARLY-

b=F/X

b=[MLT-2]/[L]

b=[ML0T-2]