Each wheel of a 300-kg motorcycle is 61 cm in diameter and has rotational inertia 1.5 kg·m2. The cycle and its 72-kg rider are coasting at 75 km/h on flat road when they encounter a hill. if the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach?

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Each wheel of a 300-kg motorcycle is 61 cm in diameter and has rotational inertia 1.5 kg·m2. The cycle and its 72-kg rider are coasting at 75 km/h on flat road when they encounter a hill. if the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach?

75. In the well and bucket of
CH
the crank to lift the bucket with up
an expression for the power you ne
and the instantaneous speed v of t
76. The local historical society has
the interpretive material for a d
comotive. You have informatic
FIGURE 10.29 Problems 65 and 70
66. A 20-kg mass is tied to a massless rope wrapped around a solid
cylindrical drum mounted on a frictionless horizontal axle. When
the mass is released, it falls with acceleration a =
need to know the force applie
tal rod. The rod joins the wh
from the wheel's axis. The
(a) the rope tension and (b) the drum's mass.
5.0 m/s². Find
coasting at 75 km/h on a flat road when they encounter a hill. If
the cycle rolls up the hill with no applied power and no signifi-
cant internal friction, what vertical height will it reach?
68. A solid marble starts from rest and rolls without slipping on the
67. Each wheel of a 300-kg motorcycle is 61 cm in diameter and has
rotational inertia 1.5 kg•m². The cycle and its 72-kg rider are
the flywheel is 12.0 kN.r
77. You're skeptical about
flywheel. The manufac
energy and can suppl
deeper and find that
mass 44 kg that rota
78. Figure 10.31 show
CH its center of mass
68.
loop-the-loop track in Fig. 10.30. Find the minimum starting
height from which the marble will remain on the track through
ndius is small compared with R-
CH
A. Both axes are
arbitrary mass
Transcribed Image Text:75. In the well and bucket of CH the crank to lift the bucket with up an expression for the power you ne and the instantaneous speed v of t 76. The local historical society has the interpretive material for a d comotive. You have informatic FIGURE 10.29 Problems 65 and 70 66. A 20-kg mass is tied to a massless rope wrapped around a solid cylindrical drum mounted on a frictionless horizontal axle. When the mass is released, it falls with acceleration a = need to know the force applie tal rod. The rod joins the wh from the wheel's axis. The (a) the rope tension and (b) the drum's mass. 5.0 m/s². Find coasting at 75 km/h on a flat road when they encounter a hill. If the cycle rolls up the hill with no applied power and no signifi- cant internal friction, what vertical height will it reach? 68. A solid marble starts from rest and rolls without slipping on the 67. Each wheel of a 300-kg motorcycle is 61 cm in diameter and has rotational inertia 1.5 kg•m². The cycle and its 72-kg rider are the flywheel is 12.0 kN.r 77. You're skeptical about flywheel. The manufac energy and can suppl deeper and find that mass 44 kg that rota 78. Figure 10.31 show CH its center of mass 68. loop-the-loop track in Fig. 10.30. Find the minimum starting height from which the marble will remain on the track through ndius is small compared with R- CH A. Both axes are arbitrary mass
75. In the well and
CH
the crank to lift the bucket with up
an expression for the power you ne
and the instantaneous speed v of t
76. The local historical society has
the interpretive material for a d
comotive. You have informati
need to know the force applie
tal rod. The rod joins the wh
from the wheel's axis. The
the flywheel is 12.0 kN m
77. You're skeptical about a
flywheel. The manufact
energy and can supply
deeper and find that t
mass 44 kg that rotat
78. Figure 10.31 shows
FIGURE 10.29 Problems 65 and 70
66. A 20-kg mass is tied to a massless rope wrapped around a solid
cylindrical drum mounted on a frictionless horizontal axle. When
the mass is released, it falls with acceleration a =
(a) the rope tension and (b) the drum's mass.
67. Each wheel of a 300-kg motorcycle is 61 cm in diameter and has
rotational inertia 1.5 kg•m². The cycle and its 72-kg rider are
5.0 m/s². Find
coasting at 75 km/h on a flat road when they encounter a hill. If
the cycle rolls up the hill with no applied power and no signifi-
cant internal friction, what vertical height will it reach?
68 A solid marble starts from rest and rolls without slipping on the
CH loop-the-loop track in Fig. 10.30. Find the minimum starting
height from which the marble will remain on the track through
CH
its center of mass
A. Both axes are
do the loop. Assume the marble's radius is small compared with R-
but that doesn't mean you can neglect it altogether!
arbitrary mass e
mass, the point.
to show that r
Transcribed Image Text:75. In the well and CH the crank to lift the bucket with up an expression for the power you ne and the instantaneous speed v of t 76. The local historical society has the interpretive material for a d comotive. You have informati need to know the force applie tal rod. The rod joins the wh from the wheel's axis. The the flywheel is 12.0 kN m 77. You're skeptical about a flywheel. The manufact energy and can supply deeper and find that t mass 44 kg that rotat 78. Figure 10.31 shows FIGURE 10.29 Problems 65 and 70 66. A 20-kg mass is tied to a massless rope wrapped around a solid cylindrical drum mounted on a frictionless horizontal axle. When the mass is released, it falls with acceleration a = (a) the rope tension and (b) the drum's mass. 67. Each wheel of a 300-kg motorcycle is 61 cm in diameter and has rotational inertia 1.5 kg•m². The cycle and its 72-kg rider are 5.0 m/s². Find coasting at 75 km/h on a flat road when they encounter a hill. If the cycle rolls up the hill with no applied power and no signifi- cant internal friction, what vertical height will it reach? 68 A solid marble starts from rest and rolls without slipping on the CH loop-the-loop track in Fig. 10.30. Find the minimum starting height from which the marble will remain on the track through CH its center of mass A. Both axes are do the loop. Assume the marble's radius is small compared with R- but that doesn't mean you can neglect it altogether! arbitrary mass e mass, the point. to show that r
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