LN_Sec_15-1_15-3 - PRINCIPLE OF LINEAR IMPULSE AND MOMENTUM...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
PRINCIPLE OF LINEAR IMPULSE AND MOMENTUM (Section 15.1) Today’s Objectives : Students will be able to: a) Calculate the linear momentum of a particle and linear impulse of a force. b) Apply the principle of linear impulse and momentum. c) Apply the principle of linear impulse and momentum to a system of particles. d) Understand the conditions for conservation of momentum.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
LINEAR MOMENTUM AND IMPULSE The impulse may be determined by direct integration . Graphically, it can be represented by the area under the force versus time curve . If F is constant, then I = F (t 2 –t 1 ) . Linear impulse : The integral F dt is the linear impulse, denoted I . It is a vector quantity measuring the effect of a force during its time interval of action. I acts in the same direction as F and has units of N·s or lb·s. Linear momentum : The vector m v is called the linear momentum, denoted as L . This vector has the same direction as v . The linear momentum vector has units of (kg·m)/s or (slug·ft)/s.
Background image of page 2
PRINCIPLE OF LINEAR IMPULSE AND MOMENTUM This equation represents the principle of linear impulse and momentum. It relates the particle’s final velocity, v 2 , and initial velocity ( v 1 ) and the forces acting on the particle as a function of time. The principle of linear impulse and momentum is obtained by integrating the equation of motion with respect to time. The equation of motion can be written F = m a = m (d v /dt) Separating variables and integrating between the limits v = v 1 at t = t 1 and v = v 2 at t = t 2 results in m v 2 –m v 1 d v m F dt v 2 v 1 t 2 t 1 = =
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
PRINCIPLE OF LINEAR IMPULSE AND MOMENTUM The two momentum diagrams indicate direction and magnitude of the particle’s initial and final momenta, m v 1 and m v 2 . The impulse diagram is similar to a free body diagram, but includes the time duration of the forces acting on the particle. The particle’s initial momentum plus the sum of all the impulses applied over [t 1 t 2 ] is equal to the particle’s final momentum. The principle of linear impulse and momentum in vector form is written as m v 1 + = m v 2 F dt t 2 t 1
Background image of page 4
IMPULSE AND MOMENTUM: SCALAR EQUATIONS The scalar equations provide a convenient means for applying the principle of linear impulse and momentum once the velocity and force vectors have been resolved into x, y, z components.
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/25/2009 for the course 222 AND 34 dynamics a taught by Professor Ibrahim during the Spring '09 term at American University of Sharjah.

Page1 / 23

LN_Sec_15-1_15-3 - PRINCIPLE OF LINEAR IMPULSE AND MOMENTUM...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online