NEET Physics: System of Particles and Rotational Motion — MCQ Test 2

Q6. A particle in a rigid body rotates at a distance of \( 0.8 \, \text{m} \) from a fixed axis with an angular velocity of \( 7 \, \text{rad/s} \). What is its linear speed?

Q7. A thin ring of mass \( 5 \, \text{kg} \) and radius \( 0.4 \, \text{m} \) has an angular momentum of \( 8 \, \text{kg m}^2/\text{s} \). What is its angular velocity?

Q8. What condition indicates that a rigid body is not rotating?

Q9. A thin ring of mass \( 6 \, \text{kg} \) and radius \( 0.4 \, \text{m} \) has an angular momentum of \( 9.6 \, \text{kg m}^2/\text{s} \). What is its angular velocity?

Q10. What is the significance of the perpendicular component of force in calculating torque?

Q11. A \( 6 \, \text{kg} \) object moves with a velocity of \( 2 \, \hat{\mathbf{i}} + 5 \, \hat{\mathbf{j}} \, \text{m/s} \). What is the magnitude of the velocity of its center of mass?

Q12. A wheel with moment of inertia \( 2 \, \text{kg m}^2 \) rotates at \( 4 \, \text{rad/s} \). A torque of \( 6 \, \text{Nm} \) acts for \( 4 \, \text{s} \). What is its final angular velocity?

Q13. A uniform rectangular lamina of dimensions \( 2 \, \text{m} \times 4 \, \text{m} \) and mass \( 10 \, \text{kg} \) has one corner at the origin along the x- and y-axes. What is the position of its center of mass?

Q14. A thin ring of mass \( 2 \, \text{kg} \) and radius \( 0.5 \, \text{m} \) has a kinetic energy of \( 10 \, \text{J} \). What is its angular speed?

Q15. A \( 2 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = 5 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = 3 \, \hat{\mathbf{i}} \, \text{m} \). What is the magnitude of its angular momentum about the origin?

NEET Physics — System of Particles and Rotational Motion

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A solid sphere of mass \( 1 \, \text{kg} \) and radius \( 0.2 \, \text{m} \) rotates about its center at \( 10 \, \text{rad/s} \). What is its rotational kinetic energy?

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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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15
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Key concepts covered in this specific test include Rotational, Particles, Respectively, Coordinate, Momentum, and Increases.

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. A solid sphere of mass \( 1 \, \text{kg} \) and radius \( 0.2 \, \text{m} \) rotates about its center at \( 10 \, \text{rad/s} \). What is its rotational kinetic energy?

  • A. 0.6 J
  • B. 0.8 J
  • C. 1.0 J
  • D. 1.2 J

Q2. Three particles of masses \( 2 \, \text{kg} \), \( 4 \, \text{kg} \), and \( 8 \, \text{kg} \) are at \( (0, 3) \), \( (4, 0) \), and \( (2, 5) \) respectively. What is the y-coordinate of their center of mass?

  • A. 3.0 m
  • B. 3.29 m
  • C. 3.5 m
  • D. 3.7 m

Q3. A thin uniform ring of mass \( 2 \, \text{kg} \) and radius \( 0.5 \, \text{m} \) rotates about its center. What is its moment of inertia?

  • A. 0.25 kg m²
  • B. 0.5 kg m²
  • C. 0.75 kg m²
  • D. 1.0 kg m²

Q4. What happens to the angular momentum of a rigid body if its moment of inertia increases while no external torque acts?

  • A. It increases
  • B. It decreases
  • C. It remains constant
  • D. It becomes zero

Q5. A \( 4 \, \text{kg} \) mass rotates in a circle of radius \( 0.25 \, \text{m} \) with a linear speed of \( 2 \, \text{m/s} \). What is its angular momentum about the center?

  • A. 1.5 kg m²/s
  • B. 2 kg m²/s
  • C. 2.5 kg m²/s
  • D. 3 kg m²/s

+ 10 more questions in the actual test

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