Top Banner
The Earth is a rotating (non-inertial) frame fictitious forces Corio lis Centrifu gal r V a a ' 2 '
28

The Earth is a rotating (non-inertial) frame fictitious forces Coriolis Centrifugal.

Dec 15, 2015

Download

Documents

Ahmad Kemery
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

The Earth is a rotating (non-inertial) frame fictitious forces

rVaa

'2'

Coriolis Centrifugal

Page 2: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

Focault’s pendulum: the plane of oscillation of a pendulum at the North pole would look from the Earth as rotating with 24- 12-hour period.

Focault’s pendulum pivot: It allows for the plane of oscillation to rotate freely.

What is the period of oscillation of the plane of Foucault’s pendulum in Seattle?

A. 24 hoursB. 16 hoursC.33 hoursD.0 hoursE. Depends on whether

summer or winter

Page 3: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

Yes: light moves very fast so the effect is hard to see in small distances. Observed for the first time during an eclipse in 1919.

The equivalence between accelerated frames and Gravity can be made because the force of Gravity is proportional to the mass.

Page 4: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

An object moves along the horizontal axis as shown on the diagram. At which point or points is its instantaneous acceleration zero?

A. 1 and 5B. 2, 4, and 5C. 3 onlyD. 5 onlyE. 2 and 4

Page 5: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

An object moves along the horizontal axis as shown on the diagram. At which point or points is its instantaneous acceleration zero?

A. 1 and 5B. 2, 4, and 5C. 3 onlyD. 5 onlyE. 2 and 4

Page 6: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

What is the minimal value of the coefficient of friction so the yo-yo rotates without slipping? (assume the yo-yo to be a uniform disk).

Page 7: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

What is the minimal value of the coefficient of friction so the yo-yo rotates without slipping? (assume the yo-yo to be a uniform disk).

)/(:

:

1 RaIRmgRFy

mamgFx

)2/1(2 mRI

1

/1

RR

ma

F

Page 8: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

What is the minimal value of the coefficient of friction so the yo-yo rotates without slipping? (assume the yo-yo to be a uniform disk).

)/(:

:

1 RaIRmgRFy

mamgFx

)2/1(2 mRI

1

/1

RR

ma

FWhat happens when R1/R > l?

Page 9: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

Reminder:A destroyer simultaneously fires two shells with the same initial speed at two different enemy ships. The shells follow the trajectories shown. Which ship gets hit first.

A) Enemy 1B) Enemy 2C) They are both hit at the same time

Page 10: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

Related to previous class:A destroyer simultaneously fires two shells with the same initial speed at two different enemy ships. The shells follow the trajectories shown. Which ship gets hit first.

A) Enemy 1B) Enemy 2C) They are both hit at the same time

Page 11: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.1

You are driving 5 ft. or so behind a pickup truck. A jostled crate tips off the back of the truck with only a very small backward velocity. The crate will not hit your car until after it hits the road, regardless of your speed, true (T) or false (F)? Ignore air resistance.

Page 12: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.1

You are driving 5 ft. or so behind a pickup truck. A jostled crate tips off the back of the truck with only a very small backward velocity. The crate will not hit your car until after it hits the road, regardless of your speed, true (T) or false (F)? Ignore air resistance.

Page 13: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.2

A person standing in the cabin of a jet plane drops a coin. This cabin hits the floor of the cabin at a point directly below where it was dropped (as seen in the cabin) no matter how fast the plane is moving, T or F?

Page 14: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.2

A person standing in the cabin of a jet plane drops a coin. This cabin hits the floor of the cabin at a point directly below where it was dropped (as seen in the cabin) no matter how fast the plane is moving, T or F?

Page 15: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.3

A tennis ball is dropped from rest at exact same instant and height that a bullet is fired horizontally. Which hits the ground first (ignoring air resistance)?

A. The bullet hits first.B. The ball hits first.C. Both hits at the same time.

Page 16: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.3

A tennis ball is dropped from rest at exact same instant and height that a bullet is fired horizontally. Which hits the ground first (ignoring air resistance)?

A. The bullet hits first.B. The ball hits first.C. Both hits at the same time.

Page 17: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.4

As a projectile moves along its parabolic trajectory, which of the following remain constant (ignoring air resistance, and defining z axis to point upward)?

A. Its speed.B. Its velocity.C. Its x-velocity and y-velocity.D. Its z-velocity.E. Its acceleration.F. Its x-velocity, y-velocity, and acceleration.G. Some other combination of the given quantities.

Page 18: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.4

As a projectile moves along its parabolic trajectory, which of the following remain constant (ignoring air resistance, and defining z axis to point upward)?

A. Its speed.B. Its velocity.C. Its x-velocity and y-velocity.D. Its z-velocity.E. Its acceleration.F. Its x-velocity, y-velocity, and acceleration.G. Some other combination of the given quantities.

Page 19: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.5

Imagine that we throw a baseball with an initial speed of 12 m/s in a direction 60° upward from the horizontal. What is the baseball’s speed at the peak of its trajectory? (Hint: You do not need to do a lot of calculating here)

A. 12 m/sB. 10.4 m/sC. 6 m/sD. 3 m/sE. 0 m/sF. Other (specify)

Page 20: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.5

Imagine that we throw a baseball with an initial speed of 12 m/s in a direction 60° upward from the horizontal. What is the baseball’s speed at the peak of its trajectory? (Hint: You do not need to do a lot of calculating here)

A. 12 m/sB. 10.4 m/sC. 6 m/sD. 3 m/sE. 0 m/sF. Other (specify)

Page 21: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.6

Imagine that you serve a tennis ball with an initial speed of 10 m/s in a direction 10° below the horizontal. What is its speed at the peak of its trajectory?

A. 10 m/sB. 9.8 m/sC. 1.7 m/sD. 0 m/sE. There is no “peak” to this tennis ball’s trajectory.F. Other (specify)

Page 22: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.6

Imagine that you serve a tennis ball with an initial speed of 10 m/s in a direction 10° below the horizontal. What is its speed at the peak of its trajectory?

A. 10 m/sB. 9.8 m/sC. 1.7 m/sD. 0 m/sE. There is no “peak” to this tennis ball’s trajectory.F. Other (specify)

Page 23: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.7

Imagine that you throw a tennis ball vertically into the air. At the exact top of its trajectory it is at rest. What is the magnitude of its acceleration at this point?

A. 9.8 m/s2

B. - 9.8 m/s2 C. 0 < a < 9.8 m/s2 D. 0 E. Other (specify)

Page 24: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

N10T.7

Imagine that you throw a tennis ball vertically into the air. At the exact top of its trajectory it is at rest. What is the magnitude of its acceleration at this point?

A. 9.8 m/s2

B. - 9.8 m/s2 C. 0 < a < 9.8 m/s2 D. 0 E. Other (specify)

Page 25: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

Two balls have the same size and the surface texture, but one is twice as heavy as the other. How many times larger is the terminal speed of the more massive ball falling through the air than that of the lighter ball?

A. The balls fall with the same speed in air. B. The massive ball’s terminal speed is [2]1/2 times larger than the other’s.C. The massive ball’s terminal speed is 2 times larger than the other’s. D. The massive ball’s terminal speed is 4 times larger than the other’s.E. The massive ball’s terminal speed is some other multiple of the other’s (specify).

Page 26: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

Two balls have the same size and the surface texture, but one is twice as heavy as the other. How many times larger is the terminal speed of the more massive ball falling through the air than that of the lighter ball?

A. The balls fall with the same speed in air. B. The massive ball’s terminal speed is [2]1/2 times larger than the other’s.C. The massive ball’s terminal speed is 2 times larger than the other’s. D. The massive ball’s terminal speed is 4 times larger than the other’s.E. The massive ball’s terminal speed is some other multiple of the other’s (specify).

Page 27: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

Two balls have the same weight and surface texture, but one has twice the diameter of the other. How many times larger is the terminal speed of the smaller ball falling through air than that of the bigger ball?

A. The balls fall with the same speed in air. B. The smaller ball’s terminal speed is [2]1/2 times larger than the other’s.C. The smaller ball’s terminal speed is 2 times larger than the other’s. D. The smaller ball’s terminal speed is 4 times larger than the other’s.E. The smaller ball’s terminal speed is some other multiple of the other’s (specify).

Page 28: The Earth is a rotating (non-inertial) frame  fictitious forces Coriolis Centrifugal.

Two balls have the same weight and surface texture, but one has twice the diameter of the other. How many times larger is the terminal speed of the smaller ball falling through air than that of the bigger ball?

A. The balls fall with the same speed in air. B. The smaller ball’s terminal speed is [2]1/2 times larger than the other’s.C. The smaller ball’s terminal speed is 2 times larger than the other’s. D. The smaller ball’s terminal speed is 4 times larger than the other’s.E. The smaller ball’s terminal speed is some other multiple of the other’s (specify).