General
Mechanics I
2013-2014 Fall
Instructor: Prof. Dr. Altuğ Özpineci
For more information: https://users.metu.edu.tr/ozpineci
Weekly outline
Week 1
- Modeling Nature
- Motion in one dimension
- Displacement
- Velocity
- Obtaining position if velocity at all times is known
- Acceleration
- Motion with constant acceleration
- Dimensional Analysis
- Vectors
- Multiplication by a scalar
- Addition of vectors
- Scalar multiplication of vectors
- Vector multiplication of vectors
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Week 2
- Review of Integration
- Area of a circle as a sum over small squares
- Area of a circle as a sum over thin rings
- Motion in 3D
- Displacement vector
- 3D velocity and acceleration
- Motion with constant acceleration
Week 3
Week 3 Day 1
- Trajectory of a football
- Range of a projectile thrown uphill
- Relative Motion
- Reference Frames
- Newton's Laws of Motion
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Week 3 Day 2
- Newton's Laws (Review)
- Weight
- Examples
- Mass on a scale
- Mass on a scale inside an elevator
- Mass on an inclined plane
- Two masses attached by a massless string
- Atwood Machine
- Accelerometer
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Week 4
Week 4 Day 1
- Friction
- Kinetic Friction
- Static Friction
- Examples
- Uniform Circular Motion-Kinematics
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Week 4 - Day 2
- Uniform Circular Motion-Dynamics
- Conical Pendulum
- Skidding on a Curve
- Banked Curves
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Week 5
Week 5 - Day 1 (No Lecture - Republic Day)
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Week 5 - Day 2
- Terminal Velocity
- Kepler's Laws
- Kepler's First Law
- Kepler's Second Law
- Kepler's Third Law
- Newton's Law of Gravitation
- Superposition of Attraction Forces
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Week 6
Week 6 - Day 1
- Position dependent g
- Gravitational Force Created By a Ring Mass
- Gravitational Force Created By a Shell Mass
- Rotation Curves of Galaxies and Dark Matter
- Gravitational Field
- Equivalence Principle
- Weightlessness
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Week 6 - Day 2
- Demonstration of direction of force in
- Circular Motion
- An accelerating car
- Examples
- Gravitational attraction of spherical mass with a spherical cavity
- Miscellaneous questions
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Week 7
Week 7 - Day 1
- Demonstration: Projectile Motion
- Measurement of the trajectory of a projectile
- Calculating the force from the trajectory
- Calculating the work done on a projectile
- Measuring the work-energy relationship for a projectile
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Week 7 – Day 2
- Why moons shows the same face to Earth all the time?
- Non-Uniform Circular Motion in Gravitational Field-Rollar Coaster
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Week 8
Week 8 - Day 1
- Review of Work Done By Gravity
- Work Done By Friction
- Work Done by a given force
- Conservative and Non-Conservative Forces
- Conservation of Energy
- Force from potential energy
- Potential Energy Graphs
- Dissipative forces
- Gravitational potential energy and escape velocity
- Potential Energy of a Spring
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Week 8 - Day 2
1. Review of Potential Energy and Conservation of Energy
2. Concept Questions on conservation of energy—
Week 9
Week 9 - Day 1
- Momentum
- Conservation of Momentum
- 1D collisions of two masses
- Collisions of 3D
- System of two masses
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Week 9 - Day 2
1. Impulse
2. CM of a Continous Mass Distribution
- Rigid rod
- Semi disk3. Systems of variable mass-Rocket propulsion
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Week 10
Week 10 - Day 1
- Rotational variables
- Kinematics of Rotation
- Rotation Angle
- Angular velocity
- Anguar acceleration
- Vector nature of kinematical variables
- Dynamics of Rotations
- Torque on a point mass
- Torque of a continuous mass
- Moment of Inertia
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Week 10 - Day 2
- Review of kinematics of rotation
- Review of dynamics of rotation
- Rotational kinetic energy
- Rotation and translation
- Work done on a rotating object
- Work-Energy principle for rotations
- Concept questions
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Week 11
Week 11 - Day 1
- Moment of Inertia of Thin Rigid Rod
- Moment of Inertia of a Circular Ring
- Parallel Axis Theorem
- Perpendicular Axis Theorem
- Atwood Machine With a Heavy Pulley
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Week 11 - Day 2
- Rolling Without Sliding
- Gyroscope
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Week 12
Week 12 - Day 1
- Example: sphere going up a step
- Angular Momentum
- Conservation of angular momentum
- Rigid rod leaning on a wall
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Week 12 - Day 2
- Decomposition of angular momentum: CM motion + rotation around CM
- Examples on Angular Momentum
- Mass dropped on a rotating wheel
- Bicycle
- Rotational imbalance
- Balance and Equilibrium
- Hanging mass
- Truck on a bridge
Week 13
Week 13 - Day 1
- Examples on Conservation of Angular Momentum
- Bullet hitting a disk on the edge
- Rotating sphere put on the ground
- Oscillations
- Physical Pendulum
- Oscillations of a Spring
- Motion Close to the Minimum of a Potential
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Week 13 - Day 2
- Simple Harmonic Oscillator (SHO)
- Energy of a SHO
- Relation with uniform circular motion
- Damped Oscillator
- Energy of a damped oscillator
Week 14
Week 14 - Day 1
- Pressure
- Pressure in a fluid
- Mercury barometer
- Force exerted due to pressure
- Buoyoncy
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Week 14 - Day 2
- Hydraolics
- Fluid flow: Laminar vs Turbulant
- Bernoulli's equation
- Flow through a hole on the side of a bottle
- Flight of a plane
Week 15
Week 15 - Day 1
- Thermal Expansion
- Temperature
- Ideal Gas
- Pressure form kinetic theory
- Drag force from kinetic theory
- Quiz (2 quizes)
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