Physics
7th Edition
ISBN: 9780321625915
Author: Douglas C. Giancoli
Publisher: PEARSON
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Chapter 8, Problem 1P
Express the following angles in radians: (a) 45.0o, (b) 60.0o, (c) 90.0o,(d) 360.0o, and (e) 445o. Give as numerical values and as fractions of
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Use the definition of scalar product, a b = ab cos 0, and the fact that a ⋅ b = axbx + ayby+ a₂b₂ to calculate
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(c) the angle in degrees, and (d) the angle in radians? Positive angles are counterclockwise from the positive
direction of the x axis; negative angles are clockwise.
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: 6.00 m at + 0.900 rad
: 5.00 m at - 75.0°
: 4.00 m at + 1.20 rad
: 6.00 m at - 210°
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(c) Number
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(d) Number 25.11
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Vector C has magnitude 6.50 and is at an angle of 55.0° measured counterclockwise from the +x-axis
toward the +y-axis. Vector D has components Dx =+4.80 and D, = -8.40. Calculate the scalar
product C D.
C.D= -26.8
Chapter 8 Solutions
Physics
Ch. 8 - A solid ball and a solid cylinder roll down a...Ch. 8 - A bicycle odometer (which counts revolutions and...Ch. 8 - Prob. 2QCh. 8 - Prob. 3QCh. 8 - Why is it more difficult to do a sit-up with your...Ch. 8 - If the net force on a system is zero, is the net...Ch. 8 - Mammals that depend on being able to run fast have...Ch. 8 - This book has three symmetry axes through its...Ch. 8 - Can the mass of a rigid object be considered...Ch. 8 - The moment of inertia of a rotating solid disk...
Ch. 8 - Two inclines have the same height but make...Ch. 8 - Two spheres look identical and have the same mass....Ch. 8 - A sphere and a cylinder have the same radius and...Ch. 8 - Prob. 13QCh. 8 - Prob. 14QCh. 8 - 15. Can the diver of Fig. 8-28 do a somersault...Ch. 8 - When a motorcyclist leaves the ground on a jump...Ch. 8 - Prob. 17QCh. 8 - 18. The angular velocity of a wheel rotating on a...Ch. 8 - 19. In what direction is the Earth's angular...Ch. 8 - 20. ‘On the basis of the law of conservation of...Ch. 8 - Bonnie sits on the outer rim of a merry-go-round,...Ch. 8 - Prob. 2MCQCh. 8 - Prob. 3MCQCh. 8 - Prob. 4MCQCh. 8 - Prob. 5MCQCh. 8 - Prob. 6MCQCh. 8 - Prob. 7MCQCh. 8 - Prob. 8MCQCh. 8 - Prob. 9MCQCh. 8 - Prob. 10MCQCh. 8 - Prob. 11MCQCh. 8 - Prob. 12MCQCh. 8 - Suppose you are sitting on a rotating stool...Ch. 8 - Express the following angles in radians: (a)...Ch. 8 - The Sun subtends an angle of about 0.5° to us on...Ch. 8 - A laser beam is directed at the Moon, 380,000 km...Ch. 8 - The blades in a blender rotate at a rate of 6500...Ch. 8 - 5. (II) The platter of the hard drive of a...Ch. 8 - Prob. 6PCh. 8 - (a) A grinding wheel 0.35 m in diameter rotates at...Ch. 8 - Prob. 8PCh. 8 - Calculate the angular velocity (a) of a clock's...Ch. 8 - Prob. 10PCh. 8 - What is the linear speed, due to the Earth's...Ch. 8 - Prob. 12PCh. 8 - How fast (in rpm) must a centrifuge rotate ifa...Ch. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - An automobile engine slows down from 3500 rpm to...Ch. 8 - 18. (I) A centrifuge accelerates uniformly from...Ch. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - A wheel 31 cm in diameter accelerates uniformly...Ch. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - A 52-kg person riding a bike puts all her weight...Ch. 8 - Calculate the net torque about the axle of the...Ch. 8 - A person exerts a horizontal force of 42 N on the...Ch. 8 - Prob. 27PCh. 8 - The bolts on the cylinder head of an engine...Ch. 8 - Determine the net torque on the 2.0-m-long uniform...Ch. 8 - Determine the moment of inertia of a 10.8-kg...Ch. 8 - 31. (I) Estimate the moment of inertia of a...Ch. 8 - A merry-go-round accelerates from rest to 0.68...Ch. 8 - Prob. 33PCh. 8 - (II) A grinding wheel is a uniform cylinder with a...Ch. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - A centrifuge rotor rotating at 9200 rpm is shut...Ch. 8 - 45. (II) To get a flat, uniform cylindrical...Ch. 8 - 46. (Ill) Two blocks are connected by a light...Ch. 8 - 47 (III) An Atwood machine consists of two masses,...Ch. 8 - A hammer thrower accelerates the hammer (mass...Ch. 8 - 49. (I) An automobile engine develops a torque of...Ch. 8 - A centrifuge rotor has a moment of inertia of 325...Ch. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - Prob. 55PCh. 8 - Prob. 56PCh. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - What is the angular momentum of a 0.270-kg ball...Ch. 8 - (a) What is the angular momentum of a 2.8-kg...Ch. 8 - Prob. 62PCh. 8 - Prob. 63PCh. 8 - Prob. 64PCh. 8 - Prob. 65PCh. 8 - Prob. 66PCh. 8 - A person of mass 75 kg stands at the center of a...Ch. 8 - Prob. 68PCh. 8 - Prob. 69PCh. 8 - Prob. 70PCh. 8 - Prob. 71PCh. 8 - Prob. 72PCh. 8 - Prob. 73PCh. 8 - Prob. 74PCh. 8 - Prob. 75GPCh. 8 - Prob. 76GPCh. 8 - Prob. 77GPCh. 8 - Prob. 78GPCh. 8 - Prob. 79GPCh. 8 - Prob. 80GPCh. 8 - Prob. 81GPCh. 8 - Figure 8-59 illustrates an H20 molecule The O — H...Ch. 8 - A hollow cylinder (hoop) is rolling on a...Ch. 8 - Prob. 84GPCh. 8 - Prob. 85GPCh. 8 - Prob. 86GPCh. 8 - Prob. 87GPCh. 8 - Prob. 88GPCh. 8 - Prob. 89GPCh. 8 - Prob. 90GPCh. 8 - A large spool of rope rolls on the ground with the...Ch. 8 - The Moon orbits the Earth such that the same side...Ch. 8 - Prob. 93GPCh. 8 - Most of our Solar System's mass is contained in...Ch. 8 - Prob. 95GPCh. 8 - Prob. 96GP
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- The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?arrow_forwardFind the scalar components of three-dimensional vectors G and H in the following figure and write the vectors in vector component form in terms of the unit vectors of the axes.arrow_forwardA skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?arrow_forward
- At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?arrow_forwardLei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.arrow_forwardIn Problem 50, what is the tangent of the angle for which 5.00 in is the opposite side?arrow_forward
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