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JEE Main System of Particles and Rotational Motion — practice questions

Explore 57 free System of Particles and Rotational Motion questions in JEE Main Physics. Open each question or exercise to read its content, reference answers and available explanation.

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System of Particles and Rotational Motion questions and exercises with answers

Showing questions 1–30 of 57.

The moment of inertia of a solid sphere of mass $M$ and radius $R$ about a diameter is:Read the answer and worked solution →Angular displacement theta in a circular motion is related to arc length s and radius r as:Read the answer and worked solution →Angular velocity omega in terms of time period T:Read the answer and worked solution →What makes a body rigidRead the answer and worked solution →Rigid bodies and their motionRead the answer and worked solution →Rotation about a fixed axisRead the answer and worked solution →Odd one out: rotationRead the answer and worked solution →Angular velocity is a vectorRead the answer and worked solution →Linear velocity in rotationRead the answer and worked solution →The cross productRead the answer and worked solution →Vector operation to resultRead the answer and worked solution →The centre of massRead the answer and worked solution →Momentum of a systemRead the answer and worked solution →Defining the centre of massRead the answer and worked solution →Quantity to definitionRead the answer and worked solution →Torque and its other nameRead the answer and worked solution →Angular momentumRead the answer and worked solution →Odd one out: system quantitiesRead the answer and worked solution →Torque, in wordsRead the answer and worked solution →Which is largerRead the answer and worked solution →Same axis, same omegaRead the answer and worked solution →Translation versus rotationRead the answer and worked solution →Motion to descriptionRead the answer and worked solution →Count the quantitiesRead the answer and worked solution →Rotational motion, mixed checkRead the answer and worked solution →True of a rigid bodyRead the answer and worked solution →Odd one out: vectors hereRead the answer and worked solution →A body whose shape never changes and whose particles keep fixed distances apart is a:Read the answer and worked solution →A block slides down a ramp with every particle moving at the same velocity. Its motion is:Read the answer and worked solution →A cylinder rolling down a ramp is a combination of translation and:Read the answer and worked solution →

Worked practice questions

The moment of inertia of a solid sphere of mass $M$ and radius $R$ about a diameter is:

  1. $\dfrac{1}{2}MR^2$
  2. $\dfrac{2}{3}MR^2$
  3. $\dfrac{2}{5}MR^2$
  4. $MR^2$
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Correct answer: C. $\dfrac{2}{5}MR^2$

Standard result for a solid sphere about a central axis: $I = \dfrac{2}{5}MR^2$. Compare with a hollow (thin-shell) sphere where $I = \dfrac{2}{3}MR^2$ — that's option D and a common trap.

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Angular displacement theta in a circular motion is related to arc length s and radius r as:

  1. theta = s + r
  2. theta = r / s
  3. theta = s × r
  4. theta = s / r
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Correct answer: D. theta = s / r

Angular displacement theta = s/r, measured in radians. For one full revolution, s = circumference = 2πr, giving theta = 2π.

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Angular velocity omega in terms of time period T:

  1. omega = 1/T
  2. omega = 2π/T
  3. omega = T
  4. omega = T/2π
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Correct answer: B. omega = 2π/T

omega = 2π/T = 2πf. SI unit: rad/s. T is time for one full rotation; one rotation is 2π rad.

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