Question:

A sphere is rolling without slipping on a fixed horizontal plane surface In the figure, A is the point of contact. B is the centre of the sphere and C is its topmost point. Then,

Updated On: Jun 14, 2022
  • $V_C-V_A=2(V_B-V_C)$
  • $V_C-V_B=V_B-V_A$
  • $|V_C-V_A|=2|V_B-V_A|$
  • $|V_C-V_A|=4|V_B|$
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The Correct Option is C

Solution and Explanation

$v_A = 0, v_B = v$ and $v_C = 2v$
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Concepts Used:

System of Particles and Rotational Motion

  1. 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.
  2. 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.
  3. The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.