Copyright © 2018 John Wiley & Sons, Inc. and primarily advanced by Prof. A. Iskandar.
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9-1 Center of Mass (1 of 14) Link to heading
Learning Objectives
- 9.01 Given the positions of several particles along an axis or a plane, determine the location of their center of mass.
- 9.02 Locate the center of mass of an extended, symmetric object by using the symmetry.
- 9.03 For a two-dimensional or three-dimensional extended object with a uniform distribution of mass, determine the center of mass by (a) mentally dividing the object into simple geometric figures, each of which can be replaced by a particle at its center and (b) finding the center of mass of those particles.
9-2 Newton’s Second Law for a System of Particles (1 of 6) Link to heading
Learning Objectives
- 9.04 Apply Newton’s second law to a system of particles by relating the net force (of the forces acting on the particles) to the acceleration of the system’s center of mass.
- 9.05 Apply the constant-acceleration equations to the motion of the individual particles in a system and to the motion of the system’s center of mass.
- 9.06 Given the mass and velocity of the particles in a system, calculate the velocity of the system’s center of mass.
9-2 Newton’s Second Law for a System of Particles (2 of 6) Link to heading
- 9.07 Given the mass and acceleration of the particles in a system, calculate the acceleration of the system’s center of mass.
- 9.08 Given the position of a system’s center of mass as a function of time, determine the velocity of the center of mass.
- 9.09 Given the velocity of a system’s center of mass as a function of time, determine the acceleration of the center of mass.
9-2 Newton’s Second Law for a System of Particles (3 of 6) Link to heading
- 9.10 Calculate the change in the velocity of a com by integrating the com’s acceleration function with respect to time.
- 9.11 Calculate a com’s displacement by integrating the com’s velocity function with respect to time.
- 9.12 When the particles in a two-particle system move without the system’s com moving, relate the displacements of the particles and the velocities of the particles.
9-3 Linear Momentum (1 of 6) Link to heading
Learning Objectives
- 9.13 Identify that momentum is a vector quantity and thus has both magnitude and direction and also components.
- 9.14 Calculate the (linear) momentum of a particle as the product of the particle’s mass and velocity.
- 9.15 Calculate the change in momentum (magnitude and direction) when a particle changes its speed and direction of travel.
9-3 Linear Momentum (2 of 6) Link to heading
- 9.16 Apply the relationship between a particle’s momentum and the (net) force acting on the particle.
- 9.17 Calculate the momentum of a system of particles as the product of the system’s total mass and its centerof-mass velocity.
- 9.18 Apply the relationship between a system’s center-ofmass momentum and the net force acting on the system.
9-4 Collision and Impulse (1 of 12) Link to heading
Learning Objectives
- 9.19 Identify that impulse is a vector quantity and thus has both magnitude and direction and components.
- 9.20 Apply the relationship between impulse and momentum change.
- 9.21 Apply the relationship between impulse, average force, and the time interval taken by the impulse.
- 9.22 Apply the constant-acceleration equations to relate impulse to force.
9-4 Collision and Impulse (2 of 12) Link to heading
- 9.23 Given force as a function of time, calculate the impulse (and thus also the momentum change) by integrating the function.
- 9.24 Given a graph of force versus time, calculate the impulse (and thus also the momentum change) by graphical integration.
- 9.25 In a continuous series of collisions by projectiles, calculate average force on the target by relating it to the mass collision rate and the velocity change of each projectile.
9-5 Conservation of Linear Momentum (1 of 12) Link to heading
Learning Objectives
- 9.26 For an isolated system of particles, apply the conservation of linear momenta to relate the initial momenta of the particles to their momenta at a later instant.
- 9.27 Identify that the conservation of linear momentum can be done along an individual axis by using components along that axis, provided there is no net external force component along that axis.
9 Summary (1 of 5) Link to heading
- Linear Momentum & Newton’s 2nd Law
- Collision and Impulse
- Conservation of Linear Momentum
Copyright Link to heading
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