engg1110
Lecture 10, Oct. 08, 2013
Announcement
Mid-term:
Date: 22 Oct 2013 (Tue)
Time: 9:30 - 11:15 am
Venue: PHYS1110A: Science Center L1
Content: things learned before today’s class
Format: 5 long questions
Announcement
Exercise/tutorial session at MMW 715
(TA: ZHAO Saisai) will be merged with the session at SC L1
HW 4 is launched today and due next
Thursday (Oct. 17, 2013)
Reminder: HW 3 is due this Thursday
Review
1. The Law of Conservation of Linear
Momentum:
Pi = Pf
Pxi = Pxf
Pyi = Pyf
Pzi = Pzf
Review
2. Two-body collision process:
Linear momentum is conserved for a closed and isolated two-body system during collision because there is no net external force.
Total kinetic energy of the system of two colliding bodies may or may not be conserved.
If it is conserved, the collision is called an elastic collision. If the kinetic energy of the system is not conserved, the collision is called an inelastic collision.
Completely inelastic collision: deformation is totally irreversible, so the two objects always will come to a common velocity in one dimension. Review
3. Systems of varying mass:
Linear momentum is conserved for the entire system of the main body and exhausted mass, if net external force is zero;
Use Impulse-Linear momentum theorem when there is net external force;
Two key quantities: mass exhaust rate (R = -dM/dt) and relative velocity between the exhausted mass and the main body (vrel = vrocket - vexhaust) v v + dv
- dM
U
M
M + dM x x
Ch6. Rotation and Moment
6.1
6.2
6.3
6.4
6.5
6.6
6.7
The Rotational Variables
Kinetic Energy of Rotation
Moment of Inertia
Torque (Moment)
Bending Moment
Newton’s Second Law for Rotation
Work and Rotational Kinetic Energy
Ch6. Rotation and Moment
6.8 Rolling as Translation and Rotation
Combined
6.9 Kinetic Energy of Rolling
6.10 The Forces of Rolling
6.11 Angular Momentum
6.12 The Angular Momentum of a Rigid
Body
Announcement
Mid-term:
Date: 22 Oct 2013 (Tue)
Time: 9:30 - 11:15 am
Venue: PHYS1110A: Science Center L1
Content: things learned before today’s class
Format: 5 long questions
Announcement
Exercise/tutorial session at MMW 715
(TA: ZHAO Saisai) will be merged with the session at SC L1
HW 4 is launched today and due next
Thursday (Oct. 17, 2013)
Reminder: HW 3 is due this Thursday
Review
1. The Law of Conservation of Linear
Momentum:
Pi = Pf
Pxi = Pxf
Pyi = Pyf
Pzi = Pzf
Review
2. Two-body collision process:
Linear momentum is conserved for a closed and isolated two-body system during collision because there is no net external force.
Total kinetic energy of the system of two colliding bodies may or may not be conserved.
If it is conserved, the collision is called an elastic collision. If the kinetic energy of the system is not conserved, the collision is called an inelastic collision.
Completely inelastic collision: deformation is totally irreversible, so the two objects always will come to a common velocity in one dimension. Review
3. Systems of varying mass:
Linear momentum is conserved for the entire system of the main body and exhausted mass, if net external force is zero;
Use Impulse-Linear momentum theorem when there is net external force;
Two key quantities: mass exhaust rate (R = -dM/dt) and relative velocity between the exhausted mass and the main body (vrel = vrocket - vexhaust) v v + dv
- dM
U
M
M + dM x x
Ch6. Rotation and Moment
6.1
6.2
6.3
6.4
6.5
6.6
6.7
The Rotational Variables
Kinetic Energy of Rotation
Moment of Inertia
Torque (Moment)
Bending Moment
Newton’s Second Law for Rotation
Work and Rotational Kinetic Energy
Ch6. Rotation and Moment
6.8 Rolling as Translation and Rotation
Combined
6.9 Kinetic Energy of Rolling
6.10 The Forces of Rolling
6.11 Angular Momentum
6.12 The Angular Momentum of a Rigid
Body