Spin-Dry Dragonflies Some dragonflies splash down onto the surface of a lake to clean themselves. After this dunking, the dragonflies gain altitude and then spin rapidly at about 1000 rpm to spray the water off their bodies. When the dragonflies do this “spin-dry,” they tuck themselves into a “ball”. If they spin with a linear speed of 2.3 m/s, and curl into a ball with a radius of 1.1 cm, what is the centripetal acceleration they produce? Figure 6-62 Problem 59
Spin-Dry Dragonflies Some dragonflies splash down onto the surface of a lake to clean themselves. After this dunking, the dragonflies gain altitude and then spin rapidly at about 1000 rpm to spray the water off their bodies. When the dragonflies do this “spin-dry,” they tuck themselves into a “ball”. If they spin with a linear speed of 2.3 m/s, and curl into a ball with a radius of 1.1 cm, what is the centripetal acceleration they produce? Figure 6-62 Problem 59
Spin-Dry Dragonflies Some dragonflies splash down onto the surface of a lake to clean themselves. After this dunking, the dragonflies gain altitude and then spin rapidly at about 1000 rpm to spray the water off their bodies. When the dragonflies do this “spin-dry,” they tuck themselves into a “ball”. If they spin with a linear speed of 2.3 m/s, and curl into a ball with a radius of 1.1 cm, what is the centripetal acceleration they produce?
43. A mass må undergoes circular
motion of radius R on a hori-
zontal frictionless table, con-
nected by a massless string
through a hole in the table to
a second mass m² (Fig. 5.33).
If m₂ is stationary, find expres-
sions for (a) the string tension
and (b) the period of the circu-
lar motion.
m2
R
m₁
FIGURE 5.33 Problem 43
CH
70. A block is projected up an incline at angle 0. It returns to its initial
position with half its initial speed. Show that the coefficient of ki-
netic friction is μk = tano.
Passage Problems
A spiral is an ice-skating position in which the skater glides on one
foot with the other foot held above hip level. It's a required element
in women's singles figure-skating competition and is related to the
arabesque performed in ballet. Figure 5.40 shows Canadian skater
Kaetlyn Osmond executing a spiral during her medal-winning perfor-
mance at the 2018 Winter Olympics in Gangneung, South Korea.
77. From the photo, you can conclude
that the skater is
a. executing a turn to her left.
b. executing a turn to her right.
c. moving in a straight line out of
the page.
78. The net force on the skater
a. points to her left.
b. points to her right.
c. is zero.
79. If the skater were to execute the same
maneuver but at higher speed, the tilt
evident in the photo would be
a. less.
b. greater.
c. unchanged.
FIGURE 5.40 Passage
Problems 77-80
80. The tilt angle 0 that the skater's body
makes with the vertical is given ap-
proximately by 0 = tan¯¹(0.5). From this you can conclude…
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