Question:
Four balls each of radius $ 10\, cm $ and mass $ 1\, kg, 2\, kg, 3\, kg $ and $ 4 \,kg $ are attached to the periphery of massless plate of radius $ 1\,m $ .
Four balls each of radius $ 10\, cm $ and mass $ 1\, kg, 2\, kg, 3\, kg $ and $ 4 \,kg $ are attached to the periphery of massless plate of radius $ 1\,m $ .
Updated On: Jun 20, 2022
- $ 12.04\,kg-m^2 $
- $ 10.04 \,kg-m^2 $
- $ 11.50 \,kg-m^2 $
- $ 5.04 \,kg-m^2 $
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The Correct Option is B
Solution and Explanation
Moment of inertia of the system about the centre of plate is given by
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Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.