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Midterm Exam 1

● Exam will be held Monday, Feb 17, 11:30-1:20 in Physics Lab room B3200A. Make sure you are available or make immediate arrangements with Archie.

● Exam rules may be found in course info (see home page > Course Info > Exams).

● Please manage your time carefully during the exam. Substantial partial credit will be given for heading the right direction.

● Exam will cover chapters 12 and 13 (all sections except 13.7 Central Forces). Questions on the exam will be taken from the Question Pool (see home page > Resources > Exam Question Pool).

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Review Chapter 12: Kinematics

For motion along a one-dimensional path:

Limits must agree when integrating both sides of an equation.

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Review Chapter 12: Kinematics

for projectiles,

horizontal motion:

vertical motion:

For constant acceleration: Average quantities:

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Review Chapter 12: Kinematics

General motion, Cartesian coordinates:

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Review Chapter 12: Kinematics

General motion, n–t coordinates:

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Review Chapter 12: Kinematics

General motion, polar coordinates (2D):

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Review Chapter 12: Kinematics

General motion, cylindrical coordinates (3D):

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Dependent Motion:

1. Define coordinates from fixed datum lines, along the path of each particle.

2. Relate the position coordinates to the cord length.

3. Separate equations are written for each cord.

4. Differentiate the position equation(s) to relate velocities and accelerations.

Review Chapter 12: Kinematics

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Relative Motion:

● is the position of A relative to B

same for velocity and acceleration

Review Chapter 12: Kinematics

● for three objects, A B C

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Newton’s Laws:

Free-body diagrambecomes kinetic diagram

Review Chapter 13: Particle Kinetics

Gravity:

System of particles:

forces external to system

acceleration of the system’s center of mass

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Review Chapter 13: Particle Kinetics

Newton’s 2nd Law in n–t coordinates

Most useful when the path is known as y(x).

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Review Chapter 13: Particle Kinetics

Newton’s 2nd Law in cylindrical coordinates

Most useful when the path is known as r(θ).

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Kinematics practice

Which equation to use?