L • VP2. A child's toy consists of a small wedge that has an acute angle u as shown above. The sloping side of the wedge is frictionless, and an object of mass m on it remains at constant height if the wedge is spun at a certain constant speed. The wedge is spun by rotating, as an axis, a vertical rod that is firmly attached to the wedge at the bottom end. Show that, when the object sits at rest at a point at distance L up along the wedge, the speed of the object must be V9L sin 0 V =

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Chapter10: Fixed-axis Rotation
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Problem 10.2CYU: Check Your Understanding A centrifuge used in DNA extraction spins at a maximum rate of 7000 rpm,...
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• VP2. A child's toy consists of a small
wedge that has an acute angle u as
shown above. The sloping side of the
wedge is frictionless, and an object of
mass m on it remains at constant height if
the wedge is spun at a certain constant
speed. The wedge is spun by rotating, as
an axis, a vertical rod that is firmly
attached to the wedge at the bottom end.
Show that, when the object sits at rest at
a point at distance L up along the wedge,
the speed of the object must be
VgL sin 0
V =
Transcribed Image Text:m • VP2. A child's toy consists of a small wedge that has an acute angle u as shown above. The sloping side of the wedge is frictionless, and an object of mass m on it remains at constant height if the wedge is spun at a certain constant speed. The wedge is spun by rotating, as an axis, a vertical rod that is firmly attached to the wedge at the bottom end. Show that, when the object sits at rest at a point at distance L up along the wedge, the speed of the object must be VgL sin 0 V =
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