Location 9-1 9-2 9-3

Created for CVCA Physics By Dick Heckathorn 4 January 2K + 5 Concept Development 9-1 Created for CVCA Physics By Dick Heckathorn 4 January 2K + 5

Circular Motion a. If there is no relative motion between the train and the edge of the platform, how fast must the train move compared to the rim speed of the rotating platform?

Circular Motion b. Why is the stairway located at the center of the platform?

White Water Landing

Circular Motion a. How is the size of the round platform and train speed related to the amount of time that passengers have for boarding?

Circular Motion b. Why would this rotating platform be impractical for high speed trains?

Circular Motion a. The platform is not rotating on its axis and the people are at rest.

Circular Motion b. Make a sketch of the missing people to show how they must lean in comparison. b. When the platform rotates, the person in the middle stands as before. The person at the edge must lean inward as shown.

Circular Motion The sketch on the right shows the container rotating about a central axis at constant speed. The sketch on the left shows some toy ducks floating on the water. Make a sketch showing the orientation of the other two ducks with respect to the water surface.

Circular Motion The sketch on the right show the water surface when the tire and water rotate about its central axis. The sketch on the left shows the water surface when the tire is not rotating.

Circular Motion Where would the people be and how would they be affected? Draw the shape of the water surface in the cross-sectional view above. Now suppose the tire is rotating about the same axis while orbiting in outer space. Scale up the rotating tire model to a rotating space habitat orbiting in space.

Created for CVCA Physics By Dick Heckathorn 15 December 2K+3 Concept Development 9-2 Created for CVCA Physics By Dick Heckathorn 15 December 2K+3

Accelerating & Circular Motion v a a. Your body lurches: backward You’re in a car at a traffic light. The light turns green and the driver steps on the gas. b. The car accelerates: forward c. Force on car acts: forward

Accelerating & Circular Motion v a You’re driving along and approach a stop sign. The driver steps on the brakes. a. Your body lurches: forward b. The car accelerates: backward c. Force on car acts: backward

Accelerating & Circular Motion v a. Your body leans: outward You continue driving and round a sharp curve to the left at constant speed. b. Direction of acc. is: inward c. Force on car acts: inward

Accelerating & Circular Motion 4. In general, the directions of lurch and acceleration, and therefore the direction of lurch and force are: the same not related opposite

Accelerating & Circular Motion 5. The whirling stone’s direction of motion keeps changing. a. If it moves faster, its direction changes: faster slower b. This indicates that as the speed increases, acceleration: increases decreases stays the same

Accelerating & Circular Motion 6. Consider whirling the stone on a shorter string – that is, of smaller radius a. For a given speed, the rate that the stone changes direction is: less more the same b. This indicates that as the radius decreases, acceleration: increases decreases stays the same

Centripetal Force p 40 Ftable on rock Fstring on rock Fearth on rock 1. A rock tied to a post moves in a circle at constant speed on a frictionless horizontal surface. All the forces acting on the rock are shown.

Centripetal Force p 40 Ftable on rock Fstring on rock Fearth on rock a. The vector responsible for circular motion is: Fstring on rock b. The net force on the rock is: Fstring on rock

Centripetal Force p 40 Fequilibrium T Fstring on rock Fnet Fearth on rock W 2. The rock is tied to a string and swings in a circular path. It is not resting on a surface. No friction. Find the net force.

Centripetal Force p 40 T Fnet W a. What is the direction of Fnet? to center b. Does Fnet lie in plane of circular path? Y c. Is Fnet horizontal Component of T? Yes d. Is Fnet the centripetal force? Yes

Centripetal Force p 40 Fdisk on rock Ffriction Fearth on rock 3. The rock rides on a horizontal disk that rotates at constant speed about the vertical axis. Friction prevents the rock from sliding. Draw and label all vectors.

Centripetal Force p 40 Fdisk on rock Ffriction Fearth on rock b. Which force is centripetal? Ffriction c. Which force provides net force? Ffriction d. Why do we not say net force is zero? because centripetal acceleration is not zero

Centripetal Force p 40 Ffriction Fwall on rock Fearth on rock 4. Now the rock is held in place by friction against the inside wall of the rotating drum. Draw and label all forces that act on the rock.

Centripetal Force p 40 Ffriction Fwall on rock Fearth on rock a. Which force is centripetal? Fwall on rock b. Which force provides net force? Fwall on rock

Centripetal Force p 40 Fe Fwall on rock Fnet Fearth on rock 5. The rock rests against a frictionless wall of the cone which rotates about its vertical axis. The rock does not slide up or down. Draw and label all forces on the rock.

Centripetal Force p 40 Fwall on rock Fnet Fearth on rock a. Should Fnet lie in the plane of the circular path? Yes b. Why It provides the centripetal force for circular motion

Created for CVCA Physics By Dick Heckathorn 15 December 2K+3 Concept Development 9-3 Created for CVCA Physics By Dick Heckathorn 15 December 2K+3

1. From Bob’s point of view, he is at rest and sees Suzie moving: clockwise counter clockwise

2. When Bob rides in the opposite direction as the habitat rotates, Suzie sees him moving: faster slower

3. As Bob’s bicycle speedometer reading increases, his rotational speed decreases and the normal force that feels the weight decreases. So friction between the tires and the floor decreases.

4. When Bob gets his speed up to 30 km/hr, as read on his bicycle speedometer, Suzie sees him: motionless

5. Bouncing off the floor a bit while riding at 30 km/hr, and neglecting wind effect, Bob: hovers in midspace as the floor whizzes by him at 30 km/hr. and he finds himself in the same frame of reference as Suzie

6. Bob now rides in a clockwise direction, with the rotation of the habitat. Now Suzie sees him moving faster. 7. As Bob gains speed, the normal support force that feels like weight increases.

8. When Bob’s speedometer reading gets up to 30 km/hr, Suzie sees him moving and Bob finds himself: pressed harder against the floor.

Next, Bob goes bowling. You decide whether the game depends on which direction the ball is rolled!

That’s all folks!

Bob is standing on a people mover (conveyor belt) at the airport which is moving toward the west at a speed of 6.0 m/sec. Susie is standing to one side looking at Bob.

1. From Bob’s point of view, he is at rest and sees Suzie moving: westward eastward not moving

Thus Bob sees Suzie moving at the same speed but in the opposite direction.

3. Bob starts walking to the east. Suzie will see Bob speeding up or slowing down

As Bob walks faster and faster, Suzie sees Bob speeding up more or slowing down more

When Bob gets his speed up to 6.0 m/s, Suzie sees him moving at 6 m/s motionless moving at 12 m/s

6. Bob makes a slight push on the conveyer belt while walking at 6 6. Bob makes a slight push on the conveyer belt while walking at 6.0 m/s (east). From Suzie’s point of view, he will be moving towards the east will be motionless will be moving towards the west

7. Bob now finds himself in the same frame of reference moving west moving east relative to Suzie

8. Bob stops his eastward movement of a short time, thus not moving relative to the conveyor belt. He then starts walking towards the west. Suzie sees Bob speeding up or slowing down

9. As Bob speeds up (walking to the west), Suzie sees Bob speeding up or slowing down

10. Bob speeds up until he is walking at 6 10. Bob speeds up until he is walking at 6.0 m/s relative to the conveyor belt. Suzie sees Bob’s speed as 6.0 m/s E motionless 12.0 m/s W

11. Bob goes bowling on the conveyor belt 11. Bob goes bowling on the conveyor belt. If the pins are set up so that he rolls the ball in a westerly direction, how should he alter his shot compared to the conveyor belt not moving? none

12. Bob goes bowling on the conveyor belt 12. Bob goes bowling on the conveyor belt. If the pins are set up so that he rolls the ball in a easterly direction, how should he alter his shot compared to the conveyor belt not moving? none

12. Bob goes bowling on the conveyor belt 12. Bob goes bowling on the conveyor belt. If the pins are set up so that he rolls the ball in a northerly direction, how should he alter his shot compared to the conveyor belt not moving? None