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Page 1: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product
Page 2: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A new way of multiplying two vectors is introduced in this chapter. What is it called?

A. Dot ProductB. Scalar ProductC. Tensor ProductD. Cross ProductE. Angular Product

Page 3: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A new way of multiplying two vectors is introduced in this chapter. What is it called?

A. Dot ProductB. Scalar ProductC. Tensor ProductD. Cross ProductE. Angular Product

Page 4: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Moment of inertia is

A. the rotational equivalent of mass.B. the point at which all forces appear to act.C. the time at which inertia occurs.D. an alternative term for moment arm.

Page 5: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Moment of inertia is

A. the rotational equivalent of mass.B. the point at which all forces appear to act.C. the time at which inertia occurs.D. an alternative term for moment arm.

Page 6: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A rigid body is in equilibrium if

A.B.C. neither A nor B.D. either A or B.E. both A and B.

Page 7: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A rigid body is in equilibrium if

A.B.C. neither A nor B.D. either A or B.E. both A and B.

Page 8: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

General Principles

Page 9: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

General Principles

Page 10: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Important Concepts

Page 11: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Important Concepts

Page 12: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Important Concepts

Page 13: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Important Concepts

Page 14: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Applications

Page 15: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Applications

Page 16: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Applications

Page 17: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

The fan blade is speeding up. What are the signs of and ?

A. ω is positive and α is positive. B. ω is positive and α is negative. C. ω is negative and α is positive. D. ω is negative and α is negative.

Page 18: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

The fan blade is speeding up. What are the signs of and ?

A. ω is positive and α is positive. B. ω is positive and α is negative. C. ω is negative and α is positive. D. ω is negative and α is negative.

Page 19: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Four Ts are made from two identical rods of equal mass and length. Rank in order, from largest to smallest, the moments of inertia Ia to Id for rotation about the dotted line.

A. Ia > Id > Ib > Ic

B. Ic = Id > Ia = Ib

C. Ia = Ib > Ic = Id

D. Ia > Ib > Id > Ic

E. Ic > Ib > Id > Ia

(a) (b) (c) (d)

Page 20: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Four Ts are made from two identical rods of equal mass and length. Rank in order, from largest to smallest, the moments of inertia Ia to Id for rotation about the dotted line.

A. Ia > Id > Ib > Ic

B. Ic = Id > Ia = Ib

C. Ia = Ib > Ic = Id

D. Ia > Ib > Id > Ic

E. Ic > Ib > Id > Ia

(a) (b) (c) (d)

Page 21: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Rank in order, from largest to smallest, the five torques τa − τe. The rods all have the same length and are pivoted at the dot.

.A B. C. D. E.

(a) (b) (c) (d) (e)

Page 22: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

.A B. C. D. E.

Rank in order, from largest to smallest, the five torques τa − τe. The rods all have the same length and are pivoted at the dot.

(a) (b) (c) (d) (e)

Page 23: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Rank in order, from largest to smallest, the angular accelerations a to e.

A. B. C. D. E.

Page 24: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A. B. C. D. E.

Rank in order, from largest to smallest, the angular accelerations a to e.

Page 25: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A student holds a meter stick straight out with one or more masses dangling from it. Rank in order, from most difficult to least difficult, how hard it will be for the student to keep the meter stick from rotating.

A. c > b > d > a B. b = c = d > a C. c > d > b > a D. c > d > a = bE. b > d > c > a

(a) (b) (c) (d)

Page 26: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A. c > b > d > a B. b = c = d > a C. c > d > b > a D. c > d > a = bE. b > d > c > a

(a) (b) (c) (d)

A student holds a meter stick straight out with one or more masses dangling from it. Rank in order, from most difficult to least difficult, how hard it will be for the student to keep the meter stick from rotating.

Page 27: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Two buckets spin around in a horizontal circle on frictionless bearings. Suddenly, it starts to rain. As a result,A. The buckets speed up because the potential energy of the

rain is transformed into kinetic energy.B. The buckets continue to rotate at constant angular velocity

because the rain is falling vertically while the buckets move in a horizontal plane.

C. The buckets slow down because the angular momentum of the bucket + rain system is conserved.

D. The buckets continue to rotate at constant angular velocity because the total mechanical energy of the bucket + rain system is conserved.

E. None of the above.

Page 28: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Two buckets spin around in a horizontal circle on frictionless bearings. Suddenly, it starts to rain. As a result,A. The buckets speed up because the potential energy of the

rain is transformed into kinetic energy.B. The buckets continue to rotate at constant angular velocity

because the rain is falling vertically while the buckets move in a horizontal plane.

C. The buckets slow down because the angular momentum of the bucket + rain system is conserved.

D. The buckets continue to rotate at constant angular velocity because the total mechanical energy of the bucket + rain system is conserved.

E. None of the above.

Page 29: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

What is the SI unit of pressure?

A. PascalB. AtmosphereC. BernoulliD. YoungE. p.s.i.

Page 30: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

What is the SI unit of pressure?

A. PascalB. AtmosphereC. BernoulliD. YoungE. p.s.i.

Page 31: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Is gauge pressure larger, smaller, or the same as true pressure?

A. LargerB. Smaller C. Same as

Page 32: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Is gauge pressure larger, smaller, or the same as true pressure?

A. LargerB. Smaller C. Same as

Page 33: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

The buoyant force on an object submerged in a liquid depends on

A. the object’s mass.B. the object’s volume.C. the density of the liquid.D. both A and B.E. both B and C.

Page 34: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

The buoyant force on an object submerged in a liquid depends on

A. the object’s mass.B. the object’s volume.C. the density of the liquid.D. both A and B.E. both B and C.

Page 35: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

General Principles

Page 36: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

General Principles

Page 37: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Important Concepts

Page 38: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Applications

Page 39: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A piece of glass is broken into two pieces of different size. Rank order, from largest to smallest, the mass densities of pieces 1, 2, and 3.

A. B.

C.

D.

E. F.

Page 40: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A piece of glass is broken into two pieces of different size. Rank order, from largest to smallest, the mass densities of pieces 1, 2, and 3.

A. B.

C.

D.

E.

Page 41: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Water is slowly poured into the container until the water level has risen into tubes A, B, and C. The water doesn’t overflow from any of the tubes. How do the water depths in the three columns compare to each other?

A. dA = dC > dB

B. dA > dB > dC

C. dA = dB = dC

D. dA < dB < dC

E. dA = dC < dB

Page 42: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A. dA = dC > dB

B. dA > dB > dC

C. dA = dB = dC

D. dA < dB < dC

E. dA = dC < dB

Water is slowly poured into the container until the water level has risen into tubes A, B, and C. The water doesn’t overflow from any of the tubes. How do the water depths in the three columns compare to each other?

Page 43: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A. F1 = F2 = F3

B. F3 > F2 > F1

C. F3 > F1 > F2

D. F2 > F1 > F3

E. F2 > F1 = F3

Rank in order, from largest to smallest, the magnitudes of the forces required to balance the masses. The masses are in kilograms.

Page 44: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

A. F1 = F2 = F3

B. F3 > F2 > F1

C. F3 > F1 > F2

D. F2 > F1 > F3

E. F2 > F1 = F3

Rank in order, from largest to smallest, the magnitudes of the forces required to balance the masses. The masses are in kilograms.

Page 45: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

The figure shows volume flow rates (in cm3/s) for all but one tube. What is the volume flow rate through the unmarked tube? Is the flow direction in or out?

A. 1 cm3/s, inB. 1 cm3/s, outC. 10 cm3/s, inD. 10 cm3/s, outE. It depends on the relative size of the tubes.

Page 46: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

The figure shows volume flow rates (in cm3/s) for all but one tube. What is the volume flow rate through the unmarked tube? Is the flow direction in or out?

A. 1 cm3/s, inB. 1 cm3/s, outC. 10 cm3/s, inD. 10 cm3/s, outE. It depends on the relative size of the tubes.

Page 47: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Rank in order, from highest to lowest, the liquid heights h1 to h4 in tubes 1 to 4. The air flow is from left to right.

A. h1 > h2 = h3 = h4

B. h2 > h4 > h3 > h1

C. h2 = h3 = h4 > h1

D. h3 > h4 > h2 > h1

E. h1 > h3 > h4 > h2

Page 48: A new way of multiplying two vectors is introduced in this chapter. What is it called? A. Dot Product B. Scalar Product C. Tensor Product D. Cross Product

Rank in order, from highest to lowest, the liquid heights h1 to h4 in tubes 1 to 4. The air flow is from left to right.

A. h1 > h2 = h3 = h4

B. h2 > h4 > h3 > h1

C. h2 = h3 = h4 > h1

D. h3 > h4 > h2 > h1

E. h1 > h3 > h4 > h2