9781118230725.pdf

9-1 CENTER OF MASS 215 The Center of Mass We define the center of mass(com) of a system of particles (such as a person) in order ...

of mass is still the same distance from each particle. The com is a property of the physical particles, not the coordinate syste ...

rho) is the same for any given element of an object as for the whole object. From Eq. 1-8, we can write (9-10) wheredVis the vol ...

218 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM Center Location Plate of Mass of com Mass P comP xP? mP S comS xSRmS C comC ...

9-1 CENTER OF MASS 219 A The com of the composite plate is the same as the com of the two pieces. PlateP 2 R R y x y y x comP co ...

Newton’s Second Law for a System of Particles Now that we know how to locate the center of mass of a system of particles, we dis ...

for the motion of a single particle. However, the three quantities that appear in Eq. 9-14 must be evaluated with some care: is ...

stage (Fig. 9-6). These actions shift her center of mass upward through her body. Although the shifting center of mass faithfull ...

9-2 NEWTON’S SECOND LAW FOR A SYSTEM OF PARTICLES 223 Checkpoint 2 Two skaters on frictionless ice hold opposite ends of a pole ...

Linear Momentum Here we discuss only a single particle instead of a system of particles, in order to define two important quanti ...

Manipulating Eq. 9-23 by substituting for from Eq. 9-22 gives, for constant massm, Thus, the relations and are equivalent expres ...

226 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM 9-4COLLISION AND IMPULSE After reading this module, you should be able to... 9. ...

We can find the net change in the ball’s momentum due to the collision if we inte- grate both sides of Eq. 9-28 from a time tiju ...

want the average force Favgon the wall during the bombardment — that is, the av- erage force during a large number of collisions ...

9-4 COLLISION AND IMPULSE 229 Impulse:The impulse is then (Answer) which means the impulse magnitude is The angle of is given by ...

Conservation of Linear Momentum Suppose that the net external force (and thus the net impulse ) acting on a system of particles ...

momentum of the grapefruit changes, but since no horizontal external force acts on the grapefruit, the horizontal component of t ...

232 CHAPTER 9 CENTER OF MASS AND LINEAR MOMENTUM Calculations:Linear momentum is also conserved along thexaxis because there is ...

Momentum and Kinetic Energy in Collisions In Module 9-4, we considered the collision of two particle-like bodies but focused on ...

Inelastic Collisions in One Dimension One-Dimensional Inelastic Collision Figure 9-14 shows two bodies just before and just afte ...