NEET Physics: System of Particles and Rotational Motion — MCQ Test 6

Q6. A force \( \mathbf{F} = 5 \, \hat{\mathbf{i}} + 2 \, \hat{\mathbf{j}} \, \text{N} \) acts at \( \mathbf{r} = -1 \, \hat{\mathbf{i}} + 3 \, \hat{\mathbf{j}} \, \text{m} \). What is the torque about the origin?

Q7. A torque of \( 20 \, \text{Nm} \) acts on a wheel with moment of inertia \( 8 \, \text{kg m}^2 \) starting from rest. What is its angular speed after \( 5 \, \text{s} \)?

Q8. Why does a dancer spin faster when pulling their arms closer to their body?

Q9. A torque of \( 12 \, \text{Nm} \) acts on a wheel with moment of inertia \( 3 \, \text{kg m}^2 \) for \( 4 \, \text{s} \). If it starts from rest, what is its final angular speed?

Q10. A particle moves in a circle of radius \( 0.5 \, \text{m} \) with an angular velocity of \( 4 \, \text{rad/s} \). What is the magnitude of its linear velocity?

Q11. A solid sphere of mass \( 2 \, \text{kg} \) and radius \( 0.3 \, \text{m} \) rolls without slipping with an angular velocity of \( 10 \, \text{rad/s} \). What is its linear speed?

Q12. What is the effect of increasing the mass of a rotating body on its angular momentum, if angular velocity remains constant?

Q13. A uniform rod of mass \( 3 \, \text{kg} \) and length \( 1.5 \, \text{m} \) is pivoted at one end. What is its moment of inertia about the pivot?

Q14. A particle rotates about a fixed axis at a radius of \( 0.6 \, \text{m} \) with a linear speed of \( 7.2 \, \text{m/s} \). What is its angular velocity?

Q15. A \( 3 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = -4 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = 6 \, \hat{\mathbf{i}} \, \text{m} \). What is the magnitude of its angular momentum about the origin?

NEET Physics — System of Particles and Rotational Motion

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A \( 5 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = 2 \, \hat{\mathbf{i}} - 3 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = 4 \, \hat{\mathbf{j}} \, \text{m} \). What is the z-component of its angular momentum?

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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 Particle, Velocity, Component, Momentum, Starting, and Distance.

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 \( 5 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = 2 \, \hat{\mathbf{i}} - 3 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = 4 \, \hat{\mathbf{j}} \, \text{m} \). What is the z-component of its angular momentum?

  • A. -10 kg m²/s
  • B. -8 kg m²/s
  • C. -6 kg m²/s
  • D. -4 kg m²/s

Q2. A particle rotates about a fixed axis at a radius of \( 0.9 \, \text{m} \) with a linear speed of \( 4.5 \, \text{m/s} \). What is its angular velocity?

  • A. 4 rad/s
  • B. 5 rad/s
  • C. 6 rad/s
  • D. 7 rad/s

Q3. A torque of \( 24 \, \text{Nm} \) acts on a wheel with moment of inertia \( 6 \, \text{kg m}^2 \) starting from rest. What is its angular speed after \( 3 \, \text{s} \)?

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

Q4. A uniform rod of mass \( 5 \, \text{kg} \) and length \( 1.2 \, \text{m} \) is pivoted at its center. What is its moment of inertia about the pivot?

  • A. 0.5 kg m²
  • B. 0.6 kg m²
  • C. 0.7 kg m²
  • D. 0.8 kg m²

Q5. A particle in a rigid body rotates at a distance of \( 0.7 \, \text{m} \) from a fixed axis with an angular velocity of \( 6 \, \text{rad/s} \). What is its linear speed?

  • A. 3.8 m/s
  • B. 4.0 m/s
  • C. 4.2 m/s
  • D. 4.5 m/s

+ 10 more questions in the actual test

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