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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Medium

A solid cylinder of mass 2 kg2 \, \text{kg} and radius 0.5 m0.5 \, \text{m} has a kinetic energy of 10 J10 \, \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.

0
Easy
10
Medium
0
Hard

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 kg2 \, \text{kg} and radius 0.5 m0.5 \, \text{m} has a kinetic energy of 10 J10 \, \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 kg5 \, \text{kg} and radius 0.2 m0.2 \, \text{m} has an angular momentum of 8 kg m2/s8 \, \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 kg3 \, \text{kg} and 7 kg7 \, \text{kg} are at (1,4)(1, 4) and (9,2)(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 kg4 \, \text{kg} particle moves with velocity v=−5 i^+2 j^ m/s\mathbf{v} = -5 \, \hat{\mathbf{i}} + 2 \, \hat{\mathbf{j}} \, \text{m/s} at r=3 i^ m\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

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