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AP Intermediate 1st Year System of Particles and Rotational Motion — practice questions

Explore 58 free System of Particles and Rotational Motion questions in AP Intermediate 1st Year Physics. Open each question or exercise to read its content, reference answers and available explanation.

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System of Particles and Rotational Motion questions and exercises with answers

Showing questions 1–30 of 58.

NEET · Physics · Moment of Inertia — Standard ShapesRead the answer and worked solution →NEET · Physics · Centre of MassRead the answer and worked solution →Moment of inertia of a body about an axis is a measure of its:Read the answer and worked solution →The rotational analog of Newton's second law (F = m a) is:Read the answer and worked solution →The moment of inertia of a uniform thin rod of mass M and length L about an axis perpendicular to the rod through its centre is:Read the answer and worked solution →Parallel-axis theorem relates I about an axis at distance d from the centre of mass to I_cm by:Read the answer and worked solution →Angular momentum L of a particle of mass m, position r and momentum p is:Read the answer and worked solution →If the net external torque on a system is zero, then:Read the answer and worked solution →A solid disc and a hollow ring of the same mass and radius roll without slipping down the same incline. Reaching the bottom first will be:Read the answer and worked solution →Total kinetic energy of a body rolling without slipping is:Read the answer and worked solution →An ice skater spinning with arms outstretched pulls her arms in. Her angular speed:Read the answer and worked solution →A flywheel of moment of inertia 2 kg m² rotates at 60 rpm. The torque required to bring it to rest in 10 s is:Read the answer and worked solution →A solid sphere of mass M and radius R has moment of inertia about a diameter:Read the answer and worked solution →A wheel rolls without slipping with the centre of mass having velocity v. The instantaneous velocity of the point of contact with the ground is:Read the answer and worked solution →Two bodies have the same angular momentum L. The one with the LARGER moment of inertia has:Read the answer and worked solution →The radius of gyration k of a body about an axis is defined so that:Read the answer and worked solution →What makes a body rigidRead the answer and worked solution →Rigid bodies and their motionRead the answer and worked solution →Rotation about a fixed axisRead the answer and worked solution →Odd one out: rotationRead the answer and worked solution →Angular velocity is a vectorRead the answer and worked solution →Linear velocity in rotationRead the answer and worked solution →The cross productRead the answer and worked solution →Vector operation to resultRead the answer and worked solution →The centre of massRead the answer and worked solution →Momentum of a systemRead the answer and worked solution →Defining the centre of massRead the answer and worked solution →Quantity to definitionRead the answer and worked solution →Torque and its other nameRead the answer and worked solution →Angular momentumRead the answer and worked solution →

Worked practice questions

NEET · Physics · Moment of Inertia — Standard Shapes

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Matching pairs
  1. Left
    Thin ring about its central axis
    Right
    I = M R²
  2. Left
    Solid disc about its central axis
    Right
    I = ½ M R²
  3. Left
    Solid sphere about its diameter
    Right
    I = (2/5) M R²
Instructions
Match each rigid body's axis to its moment of inertia.

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NEET · Physics · Centre of Mass

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Matching pairs
  1. Left
    Two equal masses on x-axis (x₁, x₂)
    Right
    x_cm = (x₁ + x₂) / 2
  2. Left
    Two unequal masses (m₁ at x₁
    Right
    (m₁x₁ + m₂x₂) / (m₁ + m₂)
  3. Left
    Uniform thin rod of length L
    Right
    Midpoint of the rod
Instructions
Match each scenario to its centre-of-mass result.

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Moment of inertia of a body about an axis is a measure of its:

  1. Linear inertia
  2. Rotational inertia about that axis
  3. Translational kinetic energy
  4. Angular momentum
Show answer and solution

Correct answer: B. Rotational inertia about that axis

1. I = Σ m_i r_i² for a system of particles about a given axis. 2. It plays the role of mass in rotational dynamics: τ = I α (analog of F = m a). 3. Hence it quantifies the body's resistance to angular acceleration about that axis. _Source: syllabus Physics Ch 6 §6.8 Moment of Inertia_

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More Physics topics

Laws of MotionGravitationUnits, Measurements and Motion in a Straight LineWork, Energy and PowerKinetic Theory & OscillationsMotion in a PlaneThermal Properties of Matter & ThermodynamicsWaves