Find the dimensions of A and B in the given equation connecting force (F), displacement (x) and time (t). F = A cos Bx + C sin Dt

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Solution

Dear Student,

ACos(Bx) has a unit of force and Bx is unit less. So B has unit of 1/displacement.
And A has unit of force.
$A = M L T^{- 2} B = L^{- 1}$

Regards

Manoj Singh

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