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Lecture 16 Friday, October 3PowerPoint Presentation

Lecture 16 Friday, October 3

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Macie pulls a 40 kg rolling trunk by a strap angled at 30° from the horizontal. She pulls with a force of 40 N, and there is a 30 N rolling friction force acting on trunk. What is the trunk’s acceleration?

Slide 5-17

For uniform circular motion, the acceleration

- Is parallel to the velocity
- Is directed towards the center of the circle
- is larger for a larger orbit at the same speed

Special Assignment

- Special assignment to be handed in Monday: Workbook pages 4-5 and 4-6, exercises 17-22 and page 5-5, exercises 13-15.

Circular Motion, Orbits and Gravity

Topics:

- The kinematics of uniform circular motion
- The dynamics of uniform circular motion
- Circular orbits of satellites
- Newton’s law of gravity

Sample question:

The motorcyclist in the “Globe of Death” rides in a vertical loop upside down over the top of a spherical cage. There is a minimum speed at which he can ride this loop. How slow can he go?

Slide 6-1

Uniform Circular Motion

- Uniform magnitude of velocity (speed) is constant

Circular Motion

- Note similarity to the equations for one-dimensional linear motion

UCM continued

- Travelling at constant speed v around circle
- Period is time one around circle = T

UCM cont

- s is distance travelled around circumference and the definition of the radian tell us

Uniform Circular Motion

- Uniform magnitude of velocity (speed) ω, is constant
- But α is not zero because direction of velocity is changing.

Slide 6-13

Newton’s Second Law

- Net force must point towards center of circle

A level curve on a country road has a radius of 150 m. What is the maximum speed at which this curve can be safely negotiated on a rainy day when the coefficient of friction between the tires on a car and the road is 0.40?

Slide 6-24

Top View

- v

When a ball on the end of a string is swung in a vertical circle:

- What is the direction of the acceleration of the ball?
- Tangent to the circle, in the direction of the ball’s motion
- Toward the center of the circle

Slide 6-11

Problems due today

- 5: 24, 25, 29, 30, 31, 35, 36, 37, 39

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