Home » Mechanics » System of Particles and Rotational Motion » Question
  1. The instantaneous angular position of a point on a rotating wheel is given by the equation θ(t) = 2t³ – 6t². The torque on the wheel becomes zero at
    1. t = 1s
    2. t = 0.5 s
    3. t = 0.25 s
    4. t = 2s
Correct Option: A

When angular acceleration (α) is zero then torque on the wheel becomes zero.
θ(t) = 2t³ – 6t²

= 6t² - 12t ⇒ α =
d²θ
= 12t - 12 = 0
dtdt

∴ t = 1 sec.



Your comments will be displayed only after manual approval.