NEET Physics: System of Particles and Rotational Motion — MCQ Test 3

Q6. In a rigid body, why does the point of application of force affect torque?

Q7. What is the physical significance of the moment of inertia in rotational motion?

Q8. For a rigid body to be in rotational equilibrium, what condition must be satisfied?

Q9. Four particles of masses \( 1 \, \text{kg} \), \( 3 \, \text{kg} \), \( 5 \, \text{kg} \), and \( 7 \, \text{kg} \) are at \( (0, 0) \), \( (2, 0) \), \( (0, 3) \), and \( (2, 3) \) respectively. What is the y-coordinate of their center of mass?

Q10. A particle rotates about a fixed axis at a radius of \( 1.2 \, \text{m} \) with an angular velocity of \( 4 \, \text{rad/s} \). What is its linear speed?

Q11. A solid cylinder of mass \( 6 \, \text{kg} \) and radius \( 0.3 \, \text{m} \) has an angular momentum of \( 10.8 \, \text{kg m}^2/\text{s} \). What is its angular velocity?

Q12. Two vectors are \( \mathbf{a} = 5 \, \hat{\mathbf{i}} + 2 \, \hat{\mathbf{j}} \) and \( \mathbf{b} = -3 \, \hat{\mathbf{i}} + 4 \, \hat{\mathbf{j}} \). What is the magnitude of \( \mathbf{a} \times \mathbf{b} \)?

Q13. A hollow cylinder of mass \( 6 \, \text{kg} \) and radius \( 0.3 \, \text{m} \) has an angular momentum of \( 10.8 \, \text{kg m}^2/\text{s} \). What is its angular velocity?

Q14. What is the physical meaning of angular momentum in rotational motion?

Q15. A solid cylinder of mass \( 3 \, \text{kg} \) and radius \( 0.5 \, \text{m} \) rotates at \( 7 \, \text{rad/s} \). What is its angular momentum about its axis?

NEET Physics — System of Particles and Rotational Motion

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Which of the following correctly describes the rotational kinetic energy of a rigid body?

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About this NEET MCQ Test

This page provides a free online MCQ test for NEET Physics preparation, focusing specifically on the chapter System of Particles and Rotational Motion. It contains 15 carefully selected multiple-choice questions (MCQs) designed to test your conceptual understanding and exam readiness.

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Key concepts covered in this specific test include Following, Correctly, Describes, Rotational, Velocity, and Starting.

Taking these timed MCQ tests helps you simulate the real NEET exam environment. Detailed step-by-step explanations are provided for every question to help you learn from your mistakes and strengthen your fundamentals.

Preview of Questions in this Test

Q1. Which of the following correctly describes the rotational kinetic energy of a rigid body?

  • A. \( K = \frac{1}{2} m v^2 \)
  • B. \( K = \frac{1}{2} I \omega^2 \)
  • C. \( K = I \omega \)
  • D. \( K = m \omega^2 \)

Q2. A wheel with moment of inertia \( 4 \, \text{kg m}^2 \) rotates at \( 3 \, \text{rad/s} \). A torque of \( 12 \, \text{Nm} \) acts for \( 2 \, \text{s} \). What is its final angular velocity?

  • A. 7 rad/s
  • B. 9 rad/s
  • C. 11 rad/s
  • D. 13 rad/s

Q3. A torque of \( 18 \, \text{Nm} \) acts on a wheel with moment of inertia \( 9 \, \text{kg m}^2 \) starting from rest. What is its angular speed after \( 6 \, \text{s} \)?

  • A. 10 rad/s
  • B. 11 rad/s
  • C. 12 rad/s
  • D. 13 rad/s

Q4. Why can a rigid body fixed at one point only undergo rotational motion?

  • A. Because it has no mass
  • B. Because translational motion is impossible when fixed
  • C. Because it lacks angular velocity
  • D. Because it deforms under forces

Q5. A uniform disk of mass \( 2 \, \text{kg} \) and radius \( 0.3 \, \text{m} \) rotates about its center. What is its moment of inertia?

  • A. 0.08 kg m²
  • B. 0.09 kg m²
  • C. 0.10 kg m²
  • D. 0.12 kg m²

+ 10 more questions in the actual test

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