NEET Physics: System of Particles and Rotational Motion — MCQ Test 14

Q6. A \( 3 \, \text{kg} \) mass rotates in a circle of radius \( 0.7 \, \text{m} \) with a speed of \( 4.2 \, \text{m/s} \). What is its angular momentum about the center?

Q7. A solid cylinder of mass \( 4 \, \text{kg} \) and radius \( 0.2 \, \text{m} \) rolls without slipping with a linear speed of \( 2 \, \text{m/s} \). What is its angular velocity?

Q8. A \( 4 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = -2 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = 5 \, \hat{\mathbf{i}} \, \text{m} \). What is the magnitude of its angular momentum about the origin?

Q9. A \( 2 \, \text{kg} \) mass rotates in a circle of radius \( 0.5 \, \text{m} \) with a speed of \( 8 \, \text{m/s} \). What is its angular momentum about the center?

Q10. A \( 2 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = -5 \, \hat{\mathbf{i}} - 3 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = 4 \, \hat{\mathbf{i}} \, \text{m} \). What is the z-component of its angular momentum?

NEET PhysicsSystem of Particles and Rotational Motion

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A torque of \( 20 \, \text{Nm} \) is applied to a wheel with moment of inertia \( 4 \, \text{kg m}^2 \). What is its angular acceleration?

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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 10 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 Acceleration, Particles, Respectively, Distance, Maintain, and Rotational.

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 torque of \( 20 \, \text{Nm} \) is applied to a wheel with moment of inertia \( 4 \, \text{kg m}^2 \). What is its angular acceleration?

  • A. 4 rad/s²
  • B. 5 rad/s²
  • C. 6 rad/s²
  • D. 7 rad/s²

Q2. Two particles of masses \( 6 \, \text{kg} \) and \( 4 \, \text{kg} \) are at \( (2, 3) \) and \( (8, 7) \) respectively. What is the distance of their center of mass from the origin?

  • A. 6.0 m
  • B. 6.36 m
  • C. 6.5 m
  • D. 6.8 m

Q3. Why does a body with zero net torque maintain its rotational state?

  • A. Due to zero linear velocity
  • B. Due to no change in angular momentum
  • C. Due to increased mass
  • D. Due to changing axis

Q4. A force \( \mathbf{F} = -2 \, \hat{\mathbf{i}} + 3 \, \hat{\mathbf{j}} \, \text{N} \) acts at \( \mathbf{r} = 1 \, \hat{\mathbf{i}} + 2 \, \hat{\mathbf{j}} \, \text{m} \). What is the torque about the origin?

  • A. 5 Nm
  • B. 6 Nm
  • C. 7 Nm
  • D. 8 Nm

Q5. A force \( \mathbf{F} = 5 \, \hat{\mathbf{i}} + 4 \, \hat{\mathbf{j}} \, \text{N} \) acts at \( \mathbf{r} = -3 \, \hat{\mathbf{i}} - 2 \, \hat{\mathbf{j}} \, \text{m} \). What is the magnitude of the torque about the origin?

  • A. 1 Nm
  • B. 2 Nm
  • C. 3 Nm
  • D. 4 Nm

+ 5 more questions in the actual test

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