NEET Physics: System of Particles and Rotational Motion — MCQ Test 19

Q6. A uniform rectangular plate of dimensions \( 3 \, \text{m} \times 5 \, \text{m} \) and mass \( 12 \, \text{kg} \) has one corner at \( (1, 1) \) along the x- and y-axes. What is the position of its center of mass?

Q7. A hollow cylinder of mass \( 4 \, \text{kg} \) and radius \( 0.6 \, \text{m} \) rotates at \( 5 \, \text{rad/s} \). What is its angular momentum about its axis?

Q8. A \( 4 \, \text{kg} \) block moves with a velocity of \( -2 \, \hat{\mathbf{i}} + 3 \, \hat{\mathbf{j}} \, \text{m/s} \). What is the magnitude of the velocity of its center of mass?

Q9. A solid cylinder of mass \( 4 \, \text{kg} \) and radius \( 0.2 \, \text{m} \) rotates at \( 25 \, \text{rad/s} \). What is its angular momentum about its axis?

Q10. A solid sphere of mass \( 5 \, \text{kg} \) and radius \( 0.3 \, \text{m} \) rotates about an axis through its center. If its angular momentum is \( 9 \, \text{kg m}^2/\text{s} \), what is its angular velocity?

NEET Physics — System of Particles and Rotational Motion

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

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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 Cylinder, Momentum, Velocity, Particles, Respectively, 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 solid cylinder of mass \( 2 \, \text{kg} \) and radius \( 0.5 \, \text{m} \) has a kinetic energy of \( 10 \, \text{J} \). What is its angular speed?

  • A. 8.5 rad/s
  • B. 8.94 rad/s
  • C. 9.5 rad/s
  • D. 10 rad/s

Q2. A solid sphere of mass \( 5 \, \text{kg} \) and radius \( 0.2 \, \text{m} \) has an angular momentum of \( 8 \, \text{kg m}^2/\text{s} \). What is its angular velocity?

  • A. 80 rad/s
  • B. 90 rad/s
  • C. 100 rad/s
  • D. 110 rad/s

Q3. Two particles of masses \( 3 \, \text{kg} \) and \( 7 \, \text{kg} \) are at \( (1, 4) \) and \( (9, 2) \) respectively. What is the distance of their center of mass from the origin?

  • A. 6.8 m
  • B. 7.09 m
  • C. 7.3 m
  • D. 7.5 m

Q4. Which of the following best defines a rigid body?

  • A. A body that can only undergo translational motion
  • B. A body with a fixed shape where distances between particles do not change
  • C. A body that deforms under external forces
  • D. A body with no mass distribution

Q5. A \( 4 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = -5 \, \hat{\mathbf{i}} + 2 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = 3 \, \hat{\mathbf{i}} \, \text{m} \). What is the z-component of its angular momentum?

  • A. 4 kg m²/s
  • B. 5 kg m²/s
  • C. 6 kg m²/s
  • D. 7 kg m²/s

+ 5 more questions in the actual test

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