Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

System of Particle and Rotational Motion

Question:

The instantaneous angular position of a point on a rotating wheel is given by the equation Ө (t) = 2t3 – 6t2. The torque on the wheel becomes zero at :

Options:

t = 2 s

t = 1 s

t = 0.2 s

t = 0.25 s

Correct Answer:

t = 1 s

Explanation:

Torque : \(\tau = I \frac{d^2\theta(t)}{dt^2} = 0 \)

\(\tau = 0 \Rightarrow \frac{d^2 \theta}{dt^2} = 0\)

12 t - 12 = 0 ⇒ t = 1 s