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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.

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Presentation on theme: "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."— Presentation transcript:

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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 E. Angular Product

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 E. Angular Product

4 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.

5 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.

6 A rigid body is in equilibrium if A. B. C. neither A nor B. D. either A or B. E. both A and B.

7 A rigid body is in equilibrium if A. B. C. neither A nor B. D. either A or B. E. both A and B.

8 General Principles

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10 Important Concepts

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14 Applications

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17 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.

18 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.

19 Four Ts are made from two identical rods of equal mass and length. Rank in order, from largest to smallest, the moments of inertia I a to I d for rotation about the dotted line. A. I a > I d > I b > I c B. I c = I d > I a = I b C. I a = I b > I c = I d D. I a > I b > I d > I c E. I c > I b > I d > I a (a)(b) (c)(d)

20 Four Ts are made from two identical rods of equal mass and length. Rank in order, from largest to smallest, the moments of inertia I a to I d for rotation about the dotted line. A. I a > I d > I b > I c B. I c = I d > I a = I b C. I a = I b > I c = I d D. I a > I b > I d > I c E. I c > I b > I d > I a (a)(b) (c)(d)

21 Rank in order, from largest to smallest, the five torques τ a τ e. The rods all have the same length and are pivoted at the dot. B. C. D. E. (a)(b) (c) (d)(e)

22 B. C. D. E. Rank in order, from largest to smallest, the five torques τ a τ e. The rods all have the same length and are pivoted at the dot. (a)(b) (c) (d)(e)

23 Rank in order, from largest to smallest, the angular accelerations a to e. A. B. C. D. E.

24 A. B. C. D. E. Rank in order, from largest to smallest, the angular accelerations a to e.

25 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 = b E.b > d > c > a (a) (b) (c) (d)

26 A.c > b > d > a B.b = c = d > a C.c > d > b > a D.c > d > a = b E.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.

27 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.

28 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.

29 What is the SI unit of pressure? A. Pascal B. Atmosphere C. Bernoulli D. Young E. p.s.i.

30 What is the SI unit of pressure? A. Pascal B. Atmosphere C. Bernoulli D. Young E. p.s.i.

31 Is gauge pressure larger, smaller, or the same as true pressure? A. Larger B. Smaller C. Same as

32 Is gauge pressure larger, smaller, or the same as true pressure? A. Larger B. Smaller C. Same as

33 The buoyant force on an object submerged in a liquid depends on A. the objects mass. B. the objects volume. C. the density of the liquid. D. both A and B. E. both B and C.

34 The buoyant force on an object submerged in a liquid depends on A. the objects mass. B. the objects volume. C. the density of the liquid. D. both A and B. E. both B and C.

35 General Principles

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37 Important Concepts

38 Applications

39 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.

40 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.

41 Water is slowly poured into the container until the water level has risen into tubes A, B, and C. The water doesnt overflow from any of the tubes. How do the water depths in the three columns compare to each other? A. d A = d C > d B B. d A > d B > d C C. d A = d B = d C D. d A < d B < d C E. d A = d C < d B

42 A. d A = d C > d B B. d A > d B > d C C. d A = d B = d C D. d A < d B < d C E. d A = d C < d B Water is slowly poured into the container until the water level has risen into tubes A, B, and C. The water doesnt overflow from any of the tubes. How do the water depths in the three columns compare to each other?

43 A. F 1 = F 2 = F 3 B. F 3 > F 2 > F 1 C. F 3 > F 1 > F 2 D. F 2 > F 1 > F 3 E. F 2 > F 1 = F 3 Rank in order, from largest to smallest, the magnitudes of the forces required to balance the masses. The masses are in kilograms.

44 A. F 1 = F 2 = F 3 B. F 3 > F 2 > F 1 C. F 3 > F 1 > F 2 D. F 2 > F 1 > F 3 E. F 2 > F 1 = F 3 Rank in order, from largest to smallest, the magnitudes of the forces required to balance the masses. The masses are in kilograms.

45 The figure shows volume flow rates (in cm 3 /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 cm 3 /s, in B. 1 cm 3 /s, out C. 10 cm 3 /s, in D. 10 cm 3 /s, out E. It depends on the relative size of the tubes.

46 The figure shows volume flow rates (in cm 3 /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 cm 3 /s, in B. 1 cm 3 /s, out C. 10 cm 3 /s, in D. 10 cm 3 /s, out E. It depends on the relative size of the tubes.

47 Rank in order, from highest to lowest, the liquid heights h 1 to h 4 in tubes 1 to 4. The air flow is from left to right. A. h 1 > h 2 = h 3 = h 4 B. h 2 > h 4 > h 3 > h 1 C. h 2 = h 3 = h 4 > h 1 D. h 3 > h 4 > h 2 > h 1 E. h 1 > h 3 > h 4 > h 2

48 Rank in order, from highest to lowest, the liquid heights h 1 to h 4 in tubes 1 to 4. The air flow is from left to right. A. h 1 > h 2 = h 3 = h 4 B. h 2 > h 4 > h 3 > h 1 C. h 2 = h 3 = h 4 > h 1 D. h 3 > h 4 > h 2 > h 1 E. h 1 > h 3 > h 4 > h 2


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