99 Percentile Qs Bank for JEE MainPhysicsRotational Motion
A thin uniform square lamina of side a is placed in the x y -plane with its sides parallel to X and Y -axes and with its centre coinciding with origin. Its moment of inertia about an axis passing through a point on the Y -axis at a distance Y=2 a and parallel to X -axis is equal to its moment of inertia about an axis passing through a point on the X -axis at a distance x=d and perpendicular to x y -plane. Then value
Options
- A7 3 a
- B47 12 a
- C9 5 a
- D51 12 a
Correct answer
B. 47 12 a
Step-by-step solution
array rlrl m a^2 12 +m (4 a^2 ) & = m a^2 6 +m d^2 & or d^2 & = 47 a^2 12 & d & = 47 12 a array