MECH
LECTUR~15_15.2-15.3

# LECTUR~15_15.2-15.3 - PRINCIPLE OF LINEAR IMPULSE AND...

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PRINCIPLE OF LINEAR IMPULSE AND MOMENTUM AND CONSERVATION OF LINEAR MOMENTUM FOR SYSTEMS OF PARTICLES Today s Objectives : Students will be able to : 1. Apply the principle of linear impulse and momentum to a system of particles. 2. Understand the conditions for conservation of momentum. In-Class Activities : Applications Linear Impulse and Momentum for a System of Particles Conservation of Linear Momentum Concept Quiz Group Problem Solving Attention Quiz

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READING QUIZ 1. The internal impulses acting on a system of particles always __________. A) equal the external impulses B) sum to zero C) equal the impulse of weight D) None of the above. 2. If an impulse-momentum analysis is considered during the very short time of interaction, as shown in the picture, weight is a/an __________. A) impulsive force B) explosive force C) non-impulsive force D) internal force
APPLICATIONS As the wheels of this pitching machine rotate, they apply frictional impulses to the ball, thereby giving it linear momentum in the direction of F dt and F dt. The weight impulse, W Δ t is very small since the time the ball is in contact with the wheels is very small.

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APPLICATIONS (continued) This large crane-mounted hammer is used to drive piles into the ground. Conservation of momentum can be used to find the velocity of the pile just after impact, assuming the hammer does not rebound off the pile. If the hammer rebounds, does the pile velocity change from the case when the hammer doesn t rebound ? In the impulse-momentum analysis, do we have to consider the impulses of the weights of the hammer and pile and the resistance force? Why or why not ?
PRINCIPLE OF LINEAR IMPULSE AND MOMENTUM FOR A SYSTEM OF PARTICLES (Section 15.2) The linear impulse and momentum equation for this system only includes the impulse of external forces.

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