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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Medium

A torque of 16 Nm16 \, \text{Nm} is applied to a wheel with moment of inertia 8 kg m28 \, \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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Easy
10
Medium
0
Hard

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 Nm16 \, \text{Nm} is applied to a wheel with moment of inertia 8 kg m28 \, \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 kg5 \, \text{kg} and radius 0.4 m0.4 \, \text{m} rolls without slipping with a linear speed of 2.4 m/s2.4 \, \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 kg5 \, \text{kg}, 10 kg10 \, \text{kg}, and 15 kg15 \, \text{kg} are at (0,0)(0, 0), (2,4)(2, 4), and (6,2)(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 kg2 \, \text{kg}, 4 kg4 \, \text{kg}, and 6 kg6 \, \text{kg} are at (0,2)(0, 2), (3,0)(3, 0), and (1,4)(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 kg1 \, \text{kg} and radius 0.8 m0.8 \, \text{m} has a kinetic energy of 12.8 J 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

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