System of particles

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Across
  1. 3. A combination of translational and rotational motion where v_point of contact = 0 (pure rolling).
  2. 4. A mathematical operation used to compute quantities like torque and angular momentum (a × b = |a||b|sinθ).
  3. 5. The study of forces and motions of rigid bodies under the influence of external forces and torques.
  4. 6. An ideal body with perfectly fixed shape and size, where the distance between any two points remains constant.
  5. 8. The rate at which an object rotates about a fixed axis (ω = dθ/dt).
  6. 9. If the net external force on a system is zero, its total linear momentum remains constant.
  7. 10. A state where the net force and net torque on a rigid body are zero.
  8. 14. Rolling motion without slipping, where the velocity of the point of contact with the surface is zero.
  9. 15. The rotational equivalent of force, representing the moment of force about an axis (τ = r × F).
  10. 16. A collection of particles interacting with each other and potentially subjected to external forces.
  11. 17. Motion where different parts of a body move with different velocities, often involving rotation.
  12. 18. If the net external torque on a system is zero, its total angular momentum remains constant.
  13. 19. Motion in which all parts of a body move with the same velocity.
  14. 20. Moment of inertia about a parallel axis is I = I_COM + Md².
Down
  1. 1. For a planar object, the moment of inertia about an axis perpendicular to the plane is I_z = I_x + I_y.
  2. 2. The energy possessed by a body due to its rotational motion (KE_rot = 0.5 Iω²).
  3. 7. The point at which the total mass of a system of particles can be considered to be concentrated.
  4. 11. A vector quantity representing the product of mass and velocity of an object (P = mv).
  5. 12. The rotational analog of linear momentum, defined as L = r × p.
  6. 13. A scalar measure of an object's resistance to rotational motion about an axis (I = Σmᵢrᵢ²).