Physics:f/sci.+engrs.,ap Ed.
10th Edition
ISBN: 9781337553469
Author: Jewett, SERWAY
Publisher: Cengage
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Chapter 11, Problem 4P
Use the definition of the vector product and the definitions of the unit vectors
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Situation 3. For the points O, A, and B: (a) what is the cross product řoa x řOB: (b) determine a unit vector that is perpendicular
to roa and foB; and (c) use the cross product to determine the length of the shortest line from point B to the straight line that
passes through points O and A.
B (4, 4, –4) m
FOB
"OA
А (6, -2, 3) m
Two vectors A and B are shown in the figure.
The magnitude of their dot product is C, and
the magnitude of their cross product is
1.094 C. Find cos(0).
B
A.
The cross product
AxB
is perpendicular to both vectors in the cross product (think of Aand
В
as lying on a
sheet of paper; the cross product is perpendicular to the plane of the sheet).
After figuring out the two directions perpendicular to both vectors you use one of the right hand rules given
on Page 338 to choose which of the two direction is correct. All three should give the same result so use
whichever one you are most comfortable with. In class, we will use the middle one in the diagram in the book.
The vector torque is
where "is the vector from the axis of rotation to where the force is applied.
Which is the direction of the torque vector?
+y
++
* (in)
+z (out)
O = in
(O) = out
Chapter 11 Solutions
Physics:f/sci.+engrs.,ap Ed.
Ch. 11.1 - Which of the following statements about the...Ch. 11.2 - Recall the skater described at the beginning of...Ch. 11.3 - A solid sphere and a hollow sphere have the same...Ch. 11.4 - A competitive diver leaves the diving board and...Ch. 11 - Prob. 1PCh. 11 - The displacement vectors 42.0 cm at 15.0 and 23.0...Ch. 11 - If AB=AB, what is the angle between A and B?Ch. 11 - Use the definition of the vector product and the...Ch. 11 - Two forces F1 and F2 act along the two sides of an...Ch. 11 - Prob. 6P
Ch. 11 - A particle is located at a point described by the...Ch. 11 - A 1.50-kg particle moves in the xy plane with a...Ch. 11 - A particle of mass m moves in the xy plane with a...Ch. 11 - Heading straight toward the summit of Pikes Peak,...Ch. 11 - Review. A projectile of mass m is launched with an...Ch. 11 - Review. A conical pendulum consists of a bob of...Ch. 11 - A particle of mass m moves in a circle of radius R...Ch. 11 - A 5.00-kg particle starts from the origin at time...Ch. 11 - A ball having mass m is fastened at the end of a...Ch. 11 - A uniform solid sphere of radius r = 0.500 m and...Ch. 11 - A uniform solid disk of mass m = 3.00 kg and...Ch. 11 - Show that the kinetic energy of an object rotating...Ch. 11 - Big Ben (Fig. P10.27, page 281), the Parliament...Ch. 11 - Model the Earth as a uniform sphere. (a) Calculate...Ch. 11 - The distance between the centers of the wheels of...Ch. 11 - You are working in an observatory, taking data on...Ch. 11 - A 60.0-kg woman stands at the western rim of a...Ch. 11 - Prob. 24PCh. 11 - A uniform cylindrical turntable of radius 1.90 m...Ch. 11 - Prob. 26PCh. 11 - A wooden block of mass M resting on a...Ch. 11 - Why is the following situation impossible? A space...Ch. 11 - A wad of sticky clay with mass m and velocity vi...Ch. 11 - A 0.005 00-kg bullet traveling horizontally with a...Ch. 11 - The angular momentum vector of a precessing...Ch. 11 - A light rope passes over a light, frictionless...Ch. 11 - Review. A thin, uniform, rectangular signboard...Ch. 11 - Prob. 34APCh. 11 - We have all complained that there arent enough...Ch. 11 - Prob. 36APCh. 11 - A rigid, massless rod has three particles with...Ch. 11 - Review. Two boys are sliding toward each other on...Ch. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Native people throughout North and South America...Ch. 11 - Two children are playing on stools at a restaurant...Ch. 11 - You are attending a county fair with your friend...Ch. 11 - A uniform rod of mass 300 g and length 50.0 cm...Ch. 11 - Global warming is a cause for concern because even...Ch. 11 - The puck in Figure P11.46 has a mass of 0.120 kg....Ch. 11 - You operate a restaurant that has many large,...Ch. 11 - A solid cube of wood of side 2a and mass M is...Ch. 11 - In Example 11.8, we investigated an elastic...Ch. 11 - Prob. 50CP
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- You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that these three vectors are Cartesian unit vectors. To answer this question, use the following vector form: a1i + a2j + a3k Write down the sum of the vectors s = p + q + r And then calculate the scaler product of s x rarrow_forwardConsider the 3D vectors C and D defined as C = 4i + 5j - 12k and D = 12i - 8j + 2k. Which of the following vectors is the result of the cross product, C x D?arrow_forwardGiven the vectors: A = 3î – 3ĵ + k̂ and B = 4î + 9ĵ + 2k̂, find the A x B by using determinant and component methods in calculating the cross product.arrow_forward
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