NEET Physics: System of Particles and Rotational Motion — MCQ Test 15

Q6. Three particles of masses \( 1 \, \text{kg} \), \( 2 \, \text{kg} \), and \( 3 \, \text{kg} \) are located at \( (1, 1) \), \( (2, 3) \), and \( (4, 2) \) respectively. What is the y-coordinate of their center of mass?

Q7. A force \( \mathbf{F} = -2 \, \hat{\mathbf{i}} + 5 \, \hat{\mathbf{j}} \, \text{N} \) acts at \( \mathbf{r} = 4 \, \hat{\mathbf{i}} - 3 \, \hat{\mathbf{j}} \, \text{m} \). What is the magnitude of the torque about the origin?

Q8. Two particles of masses \( 8 \, \text{kg} \) and \( 2 \, \text{kg} \) are at \( (0, 5) \) and \( (10, 0) \) respectively. What is the distance of their center of mass from the origin?

Q9. A uniform circular disk of radius \( 3 \, \text{m} \) and mass \( 12 \, \text{kg} \) has its center at \( (0, 0) \). What is the position of its center of mass?

Q10. What determines the magnitude of torque on a rigid body?

NEET Physics — System of Particles and Rotational Motion

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A torque of \( 16 \, \text{Nm} \) is applied to a wheel with moment of inertia \( 8 \, \text{kg m}^2 \). 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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10
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Key concepts covered in this specific test include Acceleration, Cylinder, Slipping, Velocity, Particles, and Respectively.

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 \( 16 \, \text{Nm} \) is applied to a wheel with moment of inertia \( 8 \, \text{kg m}^2 \). What is its angular acceleration?

  • A. 1.5 rad/s²
  • B. 2 rad/s²
  • C. 2.5 rad/s²
  • D. 3 rad/s²

Q2. A solid cylinder of mass \( 5 \, \text{kg} \) and radius \( 0.4 \, \text{m} \) rolls without slipping with a linear speed of \( 2.4 \, \text{m/s} \). What is its angular velocity?

  • A. 5 rad/s
  • B. 6 rad/s
  • C. 7 rad/s
  • D. 8 rad/s

Q3. Three particles of masses \( 5 \, \text{kg} \), \( 10 \, \text{kg} \), and \( 15 \, \text{kg} \) are at \( (0, 0) \), \( (2, 4) \), and \( (6, 2) \) respectively. What is the x-coordinate of their center of mass?

  • A. 3.5 m
  • B. 3.67 m
  • C. 3.8 m
  • D. 4.0 m

Q4. Three particles of masses \( 2 \, \text{kg} \), \( 4 \, \text{kg} \), and \( 6 \, \text{kg} \) are at \( (0, 2) \), \( (3, 0) \), and \( (1, 4) \) respectively. What is the x-coordinate of their center of mass?

  • A. 1.2 m
  • B. 1.5 m
  • C. 1.8 m
  • D. 2.0 m

Q5. A solid sphere of mass \( 1 \, \text{kg} \) and radius \( 0.8 \, \text{m} \) has a kinetic energy of \( 12.8 \, \text{J} \). What is its angular speed?

  • A. 9 rad/s
  • B. 10 rad/s
  • C. 11 rad/s
  • D. 12 rad/s

+ 5 more questions in the actual test

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