Classical Mechanics Lecture 1 & 2
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Questions and Answers

Which branch of physics describes the conditions of rest or motion of material bodies under the influence of force?

  • Kinematics
  • Mechanics (correct)
  • Electrodynamics
  • Dynamics
  • The mass that determines the acceleration of a body when a force is applied is known as?

  • Relativistic mass
  • Inertial mass (correct)
  • Gravitational mass
  • Static mass
  • Which of the following mechanics reformulations utilize abstract methods?

  • Lagrangian Mechanics (correct)
  • Relativistic Mechanics
  • Newtonian Mechanics
  • Hamiltonian Mechanics (correct)
  • What characteristics define a particle in classical mechanics?

    <p>Mass only</p> Signup and view all the answers

    According to Newton's first law of motion, which type of particle is it applicable to?

    <p>All particles regardless of their state</p> Signup and view all the answers

    What is the relationship between the ratio of masses of two objects and the inverse ratio of their accelerations?

    <p>The ratio of masses equals the inverse ratio of accelerations.</p> Signup and view all the answers

    Under what condition is linear momentum conserved?

    <p>When the net external force is zero.</p> Signup and view all the answers

    When is angular momentum considered to be conserved?

    <p>When net torque acting on a body is zero.</p> Signup and view all the answers

    Which expression accurately represents the work-energy principle?

    <p>$W = riangle T$</p> Signup and view all the answers

    According to the law of conservation of total energy, which equation correctly describes the energy balance?

    <p>$T_a + V_a = T_b + V_b$</p> Signup and view all the answers

    What term is used to describe the restrictions on the motion of a mechanical system?

    <p>Constraints</p> Signup and view all the answers

    What defines the number of independent ways a mechanical system can move without violating constraints?

    <p>Degrees of freedom</p> Signup and view all the answers

    How is total virtual work defined in an N-particle system?

    <p>As the work done by external force in the system.</p> Signup and view all the answers

    What is the term used for the work done by external forces in a system with N particles?

    <p>Total work</p> Signup and view all the answers

    Which equation correctly represents virtual work?

    <p>$ u W = extstyle{ u}F_{i} imes extstyle{ u r_{i}}=0$</p> Signup and view all the answers

    Which statement accurately describes D'Alembert's Principle?

    <p>$ extstyle{ u r_{i}} imes (F_{i} - p_{i}) = 0$</p> Signup and view all the answers

    How are generalized coordinates represented in Lagrange's Equation for N particles?

    <p>$n = 3N - k$</p> Signup and view all the answers

    What does Virtual Displacement not involve in Lagrange's Equation?

    <p>Time</p> Signup and view all the answers

    Which of the following expresses Lagrangian function correctly?

    <p>$ rac{d}{dt} rac{ extstyle{ u L}}{ extstyle{ u q_{j}}} - extstyle{ u L} = 0$</p> Signup and view all the answers

    The kinetic energy equation for a particle with mass m is characterized as what type of function?

    <p>Homogeneous quadratic function</p> Signup and view all the answers

    What is the special case of Euler's Theorem expressed as?

    <p>$ extstyle{ u y_{k}} rac{ extstyle{ u}{ u f}}{ extstyle{ u y_{k}}} = extstyle{n f}$</p> Signup and view all the answers

    Study Notes

    Classical Mechanics - Lecture 1

    • Classical mechanics describes the motion of macroscopic objects.
    • Abstract methods were developed leading to the reformulations of classical mechanics, like Lagrangian Mechanics and Hamiltonian Mechanics.
    • The quantitative measure of inertia of a body is mass.
    • Gravity is a branch of physics describing conditions of rest or motion of material bodies under the action of forces.
    • The mass that determines the acceleration of a body under the action of a given force is inertial mass.
    • A particle is an object which has mass, but no size.
    • Newton's 1st law of motion is applicable for free particles.
    • There are 3 degrees of freedom for a thing moving in space.
    • Work done by external force in an N-particle system is known as virtual work.
    • Total virtual work done on an N-particle system.

    Classical Mechanics - Lecture 2

    • The conditions which restrict the motion of a system are called constraints.
    • The number of independent ways in which a mechanical system can move without violating any constraint is the degrees of freedom.
    • A thing moving in space has 3 degrees of freedom.
    • Work done by external force in an N-particle system is known as work.
    • Total virtual work done on an N-particle system.

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    Description

    Explore the fundamentals of classical mechanics, covering concepts such as motion, inertia, and the principles governing the forces acting on particles. Delve into Lagrangian and Hamiltonian mechanics, as well as the significance of constraints in motion. This quiz is perfect for students looking to solidify their understanding of basic mechanical principles.

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