The displacement of a particle executing small oscillations about equilibrium is…
PHYSICS · Subjective · CBSE · Physics · Units and Measurements · Units and Measurements
Problem
The displacement of a particle executing small oscillations about equilibrium is expressed experimentally as x=Asin(ωt+ϕ), where A is amplitude, ω is angular frequency and ϕ is an initial phase.
(i) Give a reasoned argument to show whether inspection of the dimensions of A, ω and t can predict the presence of the sine function in the expression for x.
(ii) Identify the specific feature of the right-hand side of the equation that prevents dimensional considerations from revealing the exact functional form.