Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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Textbook Question
Chapter 10, Problem 97GP
A marble of mass m and radius r rolls along the looped rough track of Fig. 10–67. What is the minimum value of the vertical height h that the marble must drop if it is to reach the highest point of the loop without leaving the track? (a) Assume
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(II) A sphere of radius ro = 24.5 cm and mass m = 1.20 kg
starts from rest and rolls without slipping down a 30.0°
incline that is 10.0 m long. (a) Calculate its translational and
rotational speeds when it reaches the bottom. (b) What is
the ratio of translational to rotational kinetic energy at the
bottom? Avoid putting in numbers until the end so you can
answer: (c) do your answers in (a) and (b) depend on the
radius of the sphere or its mass?
(II) Two masses, mA = 35.0 kg and mB = 38.0 kg, are
connected by a rope that hangs
over a pulley (as in Fig. 10-59).
The pulley is a uniform cylinder of
radius 0.381 m and mass 3.1 kg.
Initially ma is on the ground and
mB rests 2.5 m above the ground.
If the system is released, use
conservation of energy to deter-
mine the speed of mB just before
it strikes the ground. Assume the
pulley bearing is frictionless.
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RO
mB
mA
2.5 m
FIGURE 10-59
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Problem 67.
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(IID) A.
(II) A sphere of radius r=34.5 cm and mass m=1.80 kgstarts from rest and rolls without slipping down a 30.0°incline that is 10.0 m long. (a) Calculate its translationaland rotational speeds when it reaches the bottom. (b) Whatis the ratio of translational to rotational kinetic energy atthe bottom? Avoid putting in numbers until the end so youcan answer: (c) do your answers in (a) and (b) depend onthe radius of the sphere or its mass?
Chapter 10 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 10.1 - In Example 103, we found that the carousel, after...Ch. 10.4 - Two forces (FB = 20 N and FA = 30 N) are applied...Ch. 10.7 - In Figs. 1020f and g, the moments of inertia for a...Ch. 10.8 - Estimate the energy stored in the rotational...Ch. 10.9 - Return to the Chapter-Opening Question, p. 248,...Ch. 10.9 - Find the acceleration a of a yo-yo whose spindle...Ch. 10 - Prob. 1QCh. 10 - Suppose a disk rotates at constant angular...Ch. 10 - Could a nonrigid object be described by a single...Ch. 10 - Prob. 4Q
Ch. 10 - Prob. 5QCh. 10 - Prob. 6QCh. 10 - Can a small force ever exert a greater torque than...Ch. 10 - Why is it more difficult to do a sit-up with your...Ch. 10 - If the net force on a system is zero, is the net...Ch. 10 - Mammals that depend on being able to run fast have...Ch. 10 - Prob. 11QCh. 10 - Prob. 12QCh. 10 - Prob. 13QCh. 10 - Prob. 14QCh. 10 - Two inclines have the same height but make...Ch. 10 - Two spheres look identical and have the same mass....Ch. 10 - A sphere and a cylinder have the same radius and...Ch. 10 - Two solid spheres simultaneously start rolling...Ch. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 12MCQCh. 10 - Prob. 14MCQCh. 10 - (I) Express the following angles in radians: (a)...Ch. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - (I) The blades in a blender rotate at a rate of...Ch. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - (II) A rotating merry-go-round makes one complete...Ch. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - (II) Calculate the angular velocity of the Earth...Ch. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - (II) A turntable of radius R1 is turned by a...Ch. 10 - Prob. 18PCh. 10 - (I) A centrifuge accelerates uniformly front rest...Ch. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - (II) Two blocks, each of mass m, are attached to...Ch. 10 - Prob. 29PCh. 10 - Prob. 30PCh. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - (I) Estimate the moment of inertia of a bicycle...Ch. 10 - Prob. 35PCh. 10 - (II) An oxygen molecule consists of two oxygen...Ch. 10 - Prob. 37PCh. 10 - (II) The forearm in Fig. 1052 accelerates a 3.6-kg...Ch. 10 - (II) Assume that a 1.00-kg ball is thrown solely...Ch. 10 - Prob. 40PCh. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - (II) A dad pushes tangentially on a small...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - Prob. 48PCh. 10 - (II) When discussing moments of inertia,...Ch. 10 - (II) Two blocks are connected by a light string...Ch. 10 - Prob. 51PCh. 10 - (III) A hammer thrower accelerates the hammer...Ch. 10 - (I) Use the parallel-axis theorem to show that the...Ch. 10 - (II) Determine the moment of inertia of a 19-kg...Ch. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 61PCh. 10 - Prob. 62PCh. 10 - (I) Estimate the kinetic energy of the Earth with...Ch. 10 - (II) A rotating uniform cylindrical platform of...Ch. 10 - Prob. 65PCh. 10 - (II) A Uniform thin rod of length l and mass M is...Ch. 10 - Prob. 67PCh. 10 - (III) A 2.30-m-long pole is balanced vertically on...Ch. 10 - Prob. 69PCh. 10 - (I) A bowling ball of mass 7.3kg and radius 9.0 cm...Ch. 10 - Prob. 71PCh. 10 - (II) A narrow but solid spool of thread has radius...Ch. 10 - (II) A solid rubber ball rests on the floor of a...Ch. 10 - Prob. 74PCh. 10 - Prob. 75PCh. 10 - (II) A ball of radius r0 rolls on the inside of a...Ch. 10 - (III) A small sphere of radius r0 = 1.5 cm rolls...Ch. 10 - (III) A wheel with rotational inertia I=12MR2...Ch. 10 - (III) The 1100-kg mass of a car includes four...Ch. 10 - (I) A rolling hall slows down because the normal...Ch. 10 - Prob. 81GPCh. 10 - On a 12.0-cm-diameter audio compact disc (CD),...Ch. 10 - (a) A yo-yo is made of two solid cylindrical...Ch. 10 - Prob. 84GPCh. 10 - Prob. 85GPCh. 10 - A large spool of rope rolls on the ground with the...Ch. 10 - Bicycle gears: (a) How is the angular velocity R...Ch. 10 - Prob. 88GPCh. 10 - Figure 1065 illustrates an H2O molecule. The O H...Ch. 10 - Prob. 90GPCh. 10 - Prob. 91GPCh. 10 - Prob. 92GPCh. 10 - Prob. 93GPCh. 10 - Prob. 94GPCh. 10 - Prob. 96GPCh. 10 - A marble of mass m and radius r rolls along the...Ch. 10 - The density (mass per unit length) of a thin rod...Ch. 10 - If a billiard ball is hit in just the right way by...Ch. 10 - Prob. 100GPCh. 10 - When bicycle and motorcycle riders pop a wheelie,...Ch. 10 - A crucial part of a piece of machinery starts as a...Ch. 10 - Prob. 103GPCh. 10 - Prob. 104GPCh. 10 - Prob. 105GPCh. 10 - A thin uniform stick of mass M and length l is...Ch. 10 - Prob. 107GP
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