NEET Physics: System of Particles and Rotational Motion — MCQ Test 16

Q6. A force \( \mathbf{F} = -3 \, \hat{\mathbf{i}} - 4 \, \hat{\mathbf{j}} \, \text{N} \) acts at \( \mathbf{r} = 2 \, \hat{\mathbf{i}} + 5 \, \hat{\mathbf{j}} \, \text{m} \). What is the magnitude of the torque about the origin?

Q7. Two particles of masses \( 2 \, \text{kg} \) and \( 8 \, \text{kg} \) are at \( (1, 5) \) and \( (4, 1) \) respectively. What is the distance of their center of mass from the origin?

Q8. A disk with moment of inertia \( 1.5 \, \text{kg m}^2 \) rotates at \( 4 \, \text{rad/s} \). A torque of \( 6 \, \text{Nm} \) acts for \( 3 \, \text{s} \). What is its final angular velocity?

Q9. Two particles of masses \( 4 \, \text{kg} \) and \( 6 \, \text{kg} \) are at \( (2, 0) \) and \( (0, 3) \) respectively. What is the distance of their center of mass from \( (0, 0) \)?

Q10. A torque of \( 21 \, \text{Nm} \) acts on a wheel with moment of inertia \( 7 \, \text{kg m}^2 \) starting from rest. What is its angular speed after \( 4 \, \text{s} \)?

NEET Physics — System of Particles and Rotational Motion

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Medium

Which statement is true about the axis of rotation in pure rotational motion?

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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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Easy
10
Medium
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Hard

Key concepts covered in this specific test include Statement, Rotation, Rotational, Velocity, Magnitude, and Accelerated.

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.

Which statement is true about the axis of rotation in pure rotational motion?

  • A.

    It moves with the body

  • B.

    It is always fixed

  • C.

    It changes direction during rotation

  • D.

    It is perpendicular to the body

Q2.

A wheel with moment of inertia 2.5 kg m22.5 \, \text{kg m}^2 rotates at 6 rad/s6 \, \text{rad/s}. A torque of 10 Nm10 \, \text{Nm} acts for 2 s2 \, \text{s}. What is its final angular velocity?

  • A.

    12 rad/s

  • B.

    14 rad/s

  • C.

    16 rad/s

  • D.

    18 rad/s

Q3.

A 6 kg6 \, \text{kg} object moves with a velocity of 3 i^−2 j^ m/s3 \, \hat{\mathbf{i}} - 2 \, \hat{\mathbf{j}} \, \text{m/s}. What is the magnitude of the velocity of its center of mass?

  • A.

    3.2 m/s

  • B.

    3.6 m/s

  • C.

    4.0 m/s

  • D.

    4.4 m/s

Q4.

A wheel of radius 0.4 m0.4 \, \text{m} and moment of inertia 1.6 kg m21.6 \, \text{kg m}^2 is accelerated by a torque of 8 Nm8 \, \text{Nm}. What is its angular acceleration?

  • A.

    4 rad/s²

  • B.

    5 rad/s²

  • C.

    6 rad/s²

  • D.

    7 rad/s²

Q5.

What is the SI unit of moment of inertia?

  • A.

    N m

  • B.

    kg m²

  • C.

    kg m/s²

  • D.

    J s

+ 5 more questions in the actual test

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