Question

QUESTION 1 The figure below shows a compound gear, 2, engaged with two racks, 1 and 3. The compound gear is composed of two circular gears (a small circular gear of radius r and a large circular gear of radius R) which rotate as one, rack 1 is held stationary, and rack 3 is translating with a constant velocity V3V3 vertically upward V3BIn the sketch, A is the center of the compound gear, C is horizontally to the left of A and locates where 2 meshes with 1, B is horizontally to the right of A and locates where 2 meshes with 3, and D is the distance R directly below A.

The magnitude of the velocity at B on compound gear 2, v subscript 2 B end subscript, is

a.

v subscript 3 B end subscript

b.

none of the other answers are correct

c.

left parenthesis r divided by R right parenthesis space v subscript 3 B end subscript

d.

0

e.

left parenthesis R divided by r right parenthesis space v subscript 3 B end subscript

1 points   

QUESTION 2

The magnitude of the velocity at C on compound gear 2, v subscript 2 C end subscript, is

a.

0

b.

left parenthesis R divided by r right parenthesis space v subscript 3 B end subscript

c.

v subscript 3 B end subscript

d.

none of the other answers are correct

e.

left parenthesis r divided by R right parenthesis space v subscript 3 B end subscript

1 points   

QUESTION 3

The angular speed of compound gear 2 is

a.

v subscript 3 B end subscript space divided by space left parenthesis R minus r right parenthesis

b.

0

c.

v subscript 3 B end subscript space divided by space r

d.

v subscript 3 B end subscript space divided by space R

e.

v subscript 3 B end subscript space divided by space left parenthesis R plus r right parenthesis

f.

none of the other answers are correct

1 points   

QUESTION 4

The magnitude of the velocity at A on compound gear 2, v subscript 2 A end subscript, is

a.

left square bracket R divided by left parenthesis r plus R right parenthesis right square bracket   v subscript 3 B end subscript

b.

left square bracket r divided by left parenthesis r plus R right parenthesis right square bracket   v subscript 3 B end subscript

c.

0

d.

none of the other answers are correct

e.

left parenthesis R divided by r right parenthesis v subscript 3 B end subscript

f.

left parenthesis r divided by R right parenthesis v subscript 3 B end subscript

g.

v subscript 3 B end subscript

1 points   

QUESTION 5

Compound gear 2 is

a.

rotating counterclockwise

b.

not rotating

c.

rotating clockwise

1 points   

QUESTION 6

The speed at D on compound gear 2 is

a.

open square brackets fraction numerator R over denominator left parenthesis R plus r right parenthesis end fraction   v subscript 3 C end subscript close square brackets

b.

open square brackets fraction numerator square root of r squared plus R squared end root over denominator left parenthesis R plus r right parenthesis end fraction   v subscript 3 C end subscript close square brackets

c.

open square brackets fraction numerator r over denominator left parenthesis R plus r right parenthesis end fraction   v subscript 3 C end subscript close square brackets

d.

none of the other answers are correct

e.

open square brackets fraction numerator R square root of 2 over denominator left parenthesis R plus r right parenthesis end fraction   v subscript 3 C end subscript close square brackets

f.

open square brackets fraction numerator r square root of 2 over denominator left parenthesis R plus r right parenthesis end fraction   v subscript 3 C end subscript close square brackets

1 points   

QUESTION 7

The velocity at D on compound gear 2, bold v subscript 2 D end subscript, is

a.

vertical and upwards

b.

horizontal and to the right

c.

horizontal and to the left

d.

vertical and downwards

e.

none of the other answers are correct

1 points   

QUESTION 8

Roughly how many hours did you devote to this course during the past week (attending lectures and discussions, doing homework, studying, taking this quiz, etc.)?

a.

0 text hours end text

b.

0 text hours end text less than text total time end text less or equal than 3 text hours end text

c.

3 text hours end text less than text total time end text less or equal than 6 text hours end text

d.

6 text hours end text less than text total time end text less or equal than 9 text hours end text

e.

9 text hours end text less than text total time end text less or equal than 12 text hours end text

f.

text More than 12 hours end text


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