NEET Physics: System of Particles and Rotational Motion — MCQ Test 12

Q6. A cylinder of mass \( 10 \, \text{kg} \) and radius \( 0.5 \, \text{m} \) rolls without slipping. If its angular momentum about its axis is \( 25 \, \text{kg m}^2/\text{s} \), what is its angular velocity?

Q7. Two particles of masses \( 7 \, \text{kg} \) and \( 3 \, \text{kg} \) are at \( (0, 6) \) and \( (5, 0) \) respectively. What is the distance of their center of mass from the origin?

Q8. A \( 2 \, \text{kg} \) particle moves with velocity \( \mathbf{v} = 5 \, \hat{\mathbf{i}} - 2 \, \hat{\mathbf{j}} \, \text{m/s} \) at \( \mathbf{r} = 3 \, \hat{\mathbf{j}} \, \text{m} \). What is the z-component of its angular momentum?

Q9. A solid sphere of mass \( 4 \, \text{kg} \) and radius \( 0.3 \, \text{m} \) has an angular momentum of \( 7.2 \, \text{kg m}^2/\text{s} \). What is its angular velocity?

Q10. Vectors \( \mathbf{a} = 3 \, \hat{\mathbf{i}} - 5 \, \hat{\mathbf{j}} \) and \( \mathbf{b} = 2 \, \hat{\mathbf{i}} + 4 \, \hat{\mathbf{j}} \) are given. What is the magnitude of \( \mathbf{a} \times \mathbf{b} \)?

NEET Physics — System of Particles and Rotational Motion

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A solid cylinder of mass 3 kg3 \, \text{kg} and radius 0.4 m0.4 \, \text{m} has an angular momentum of 12 kg m2/s12 \, \text{kg m}^2/\text{s}. What is its angular velocity?

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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, Coordinates, 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 solid cylinder of mass 3 kg3 \, \text{kg} and radius 0.4 m0.4 \, \text{m} has an angular momentum of 12 kg m2/s12 \, \text{kg m}^2/\text{s}. What is its angular velocity?

  • A.

    40 rad/s

  • B.

    45 rad/s

  • C.

    50 rad/s

  • D.

    55 rad/s

Q2.

Three particles of masses 2 kg2 \, \text{kg}, 3 kg3 \, \text{kg}, and 5 kg5 \, \text{kg} are placed at coordinates (0,0)(0, 0), (4,0)(4, 0), and (2,3)(2, 3) respectively. What is the x-coordinate of their center of mass?

  • A.

    1.8 m

  • B.

    2.0 m

  • C.

    2.2 m

  • D.

    2.4 m

Q3.

Why is torque zero when the force is applied along the line passing through the pivot point?

  • A.

    Because the force is zero

  • B.

    Because the perpendicular distance is zero

  • C.

    Because the angular velocity is zero

  • D.

    Because the mass is evenly distributed

Q4.

A torque of 18 Nm18 \, \text{Nm} acts on a disk with moment of inertia 6 kg m26 \, \text{kg m}^2 starting from rest. What is its angular speed after 4 s4 \, \text{s}?

  • A.

    10 rad/s

  • B.

    12 rad/s

  • C.

    14 rad/s

  • D.

    16 rad/s

Q5.

A force F=4 i^−6 j^ N\mathbf{F} = 4 \, \hat{\mathbf{i}} - 6 \, \hat{\mathbf{j}} \, \text{N} acts at r=5 i^+2 j^ m \mathbf{r} = 5 \, \hat{\mathbf{i}} + 2 \, \hat{\mathbf{j}} \, \text{m}. What is the magnitude of the torque about the origin?

  • A.

    36 Nm

  • B.

    37 Nm

  • C.

    38 Nm

  • D.

    39 Nm

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