Two particles A and B move on the same circle with angular positions $\theta_{A}$ = 2t² + 3t and $\theta_{B}$ = t² + 5t. Which statements are correct?
Select all that apply

Question

Two particles A and B move on the same circle with angular positions θ A 	heta_{A} θ A ​ = 2t² + 3t and θ B 	heta_{B} θ B ​ = t² + 5t. Which statements are correct?

G1 Physics · Accepted Answer

Differentiate the angular positions: ω_A = dθ_A/dt = 4t+3 and ω_B = dθ_B/dt = 2t+5. Therefore relative angular velocity is ω_A/B = ω_A-ω_B = (4t+3)-(2t+5) = 2t-2. At t=1 s, ω_A/B = 0. Hence all statements are correct.

Two particles A and B move on the same circle with angular positions θ A \theta_{A} θ A ​ = 2t² + 3t and θ B \theta_{B} θ B ​ = t² + 5t. Which statements are correct?

Two particles A and B move on the same circle with angular positions θ A \theta_{A} θ A = 2t² + 3t and θ B \theta_{B} θ B = t² + 5t. Which statements are correct?