slides off. a) What is the radial acceleration of the coin at 40 rpm? b) What is the coefficient of...
Transcript of slides off. a) What is the radial acceleration of the coin at 40 rpm? b) What is the coefficient of...
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Mid I, June 2014
A 4-N net force acts on a ball (𝑚 = 0.2 𝑘𝑔)
and keeps it in a uniform circular motion of
radius 15 cm.
a) What is the magnitude of the linear
velocity of the ball?
b) What is the period of this circular motion.
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Mid I, March 2014
A ball of mass 𝑚 = 0.2 𝑘𝑔is connected to
a string of length 1.6 m. The ball is rotated
in a horizontal circular path with the
constant speed of 2.0 m/s.
a) Determine the tension in the string.
b) What is the maximum frequency that
ball can have if the string can withstand
a maximum tension of 5.0 N?
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Mid I, October 2013
An ultracentrifuge rotates at 60,000rpm.
a) Find the speed (in m/s) of a particle at
8cm from the axis of rotation.
b) What is the acceleration of this particle
in terms of (g = 9.8 m/s2)?
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Mid I, June 2013
The Earth rotates around its axis once in
every 24 hours. What is the angular speed
and the centripetal acceleration of a person
at the equator? (The radius of the Earth at
the equation is 𝑅 = 6400 𝑘𝑚).
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Phy121-Mid2-April2013
The Ferris wheel, shown in the figure, has a
radius of 7.5 m and is rotating at a constant
linear speed, 𝑣. If the apparent weight of a
passenger at the top position is half his apparent
weight at the bottom position, calculate:
a) the magnitude of the linear speed, 𝑣(in m/s),
and
b) the number of revolutions that the Ferris
wheel makes in one minute.
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Mid I, June 2012
A space station of diameter 80 m is turning about
its axis at a constant rate. If the acceleration of
the outer rim of the station is 2.5 m/s2?
a) Find the speed of the station.
b) What is the period of revolution of the
space station?
c) How many revolutions per minute does the
station make?
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Mid I, March 2012
Ali and Bader sit on a horizontal bar of length 2m, which
is connected to a vertical post as shown in the figure. The
post rotates at 10 rpm (revolution per minute).
a) Circle the correct answers:
If the linear speeds of Ali and Bader are 𝑣𝐴 , 𝑣𝐵
respectively, then
(i)𝑣𝐴 = 𝑣𝐵(ii)𝑣𝐴 < 𝑣𝐵(iii)𝑣𝐴 > 𝑣𝐵
If the periods of the circular motions of Ali and
Bader are 𝑇𝐴, and 𝑇𝑦 respectively, then
(i)𝑇𝐴 = 𝑇𝐵(ii)𝑇𝐴 < 𝑇𝐵(iii)𝑇𝐴 > 𝑇𝐵
b) Calculate the linear speed of Ali (in m/s).
c) Calculate the centripetal (or radial) force on Ali if
his mass is 40 kg.
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Mid I, Oct 2011
Passengers feel weightless at the top of the
rotating Ferris wheel shown below. What is
the minimum constant rpm (revolutions per
minute) of the Ferris wheel?
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Mid I, July 2011
A flat block of mass, 𝑚 = 5 𝑘𝑔, is being
rotated in a circle on a frictionless table.
The radius of rotation, 𝑟 = 32 𝑐𝑚, is held
constant by attaching a light cord between
𝑚 and another mass, 𝑀 = 1 𝑘𝑔, as shown
in figure. Find the speed of rotation.
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Mid I, March 2011
A ball connected to a 0.5 m long string is
rotating in a circular motion. If the frequency
of the motion is 500 rpm, calculate the
centripetal acceleration (in m/s2).
أفضل صداقة يمكنها االستمرار هي
.التي يستفيد منها كافة األصدقاء
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Mid I, March 2011
A 30 kg child is riding a roller coaster that
has a radius of 5 m. If the normal force on
the child the bottom of her circular motion
is 600 N, what is her speed (in m/s)?
ستأتي الفرص حتما، المهم
.أن نكون جاهزين
First, Fall 2011
A particle is at a distance of 15 cm from the axis of rotation of a centrifuge. Its centripetal acceleration is 1.4 x 104 m/s2.
Calculate the frequency of rotation of the centrifuge. Express the result in unit of revolutions per minute.
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Mid I, Fall 2011
A ball on the end of a string is revolved at
a uniform rate in a vertical circle of
radius , as shown in the figure.
If its speed is 5 m/s and its mass is , calculate the tension in the string when the
ball is (a) at the top of its path, and (b) at
the bottom of its path.
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شروح الفيديو تتوفر على قناتكم
HS Engineers
Mastering Problems
Physics 121
5-2-Chapter s
\\'lliich of the follo,\iin~ point to\\-"ards the. center of the. circl.e - 4
in unifor111 circular motion? (a-} Acce·leration .. ~ ( b . .} \lel.ocitJ{'acceleration .. net force. " ( c) \lel.oci ~ ~ ccelera1 ti.on .. (ti) \fel.ocitifne.t force .. (e) ,l" _cceleration, net force:._ ~
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flat (horizontal) on a tabletop. When the Ping-Pong ball exits the tube .. ,.vhich path \viii it folio,~ in Fig. 5-35? ,.__,
FIGURE5-35 ~ifisConceptual Question 3.
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Chapters
5-J-\ l\. car drives at steady speed aeound a perfectly circular tTack. (a) The cal"~s acceleration is zero. ~ CX.y ~ ~ (b) TI1e ne.t force on the car is zero. ,< f ::. ~ Ay
(c) Both the acoe:leration and nel force on the car poh1J Ollt\\rard~ )( ~
(d ) Both the acceleration and net force on the cat" point in\vard. V
({! ) If there is no friction~ the acceleratioUJ is oul,\•·a.rd.. X
5-S .. A child ,vbirls a ball in a vertical circle .. A.ss1.1n1ing the speed of the ball is co11stant ( an approximation)., when would the tension in the cord connected to the ball be greatest? (a ) .. ~t the top of the circle.. ~.:,,, l ( b) At the botto111 of the circle'" ~ ,( c) A little after the botton1 of the circle ,,rhen the ball is
clin1bing. (d) A little before the botton1 of the circle ,vhen tile baU is
descending quickly_ ( e) Novi here; the cord is stretched the sa.n1e amount at all
points~
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6. In a rotating vertical cylinder (Rotor-ride) a rider finds herself pressed \Vith her back to the rotating vvall. \Vl1ich is the correct free-body diagra1n for her (Fig. 5-36)?
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C~s 6. In a rotating vertical cylinder (Rotor-ride) a rider finds
herself pressed ,vith her back to the rotating wall. Which is the correct free-body diagram for her (Fig. 5-36)?
V IGURE 5-36 MisConceptual Question 6-,,,,,
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Chapter 5 i
TI1e :rvtoon does not crash into the Eartl1 because: (a) the net force on it is zero'° x (b) it is beyond the n1ain pull of the Earth's gravity~ X ( c) it is being pulled by the Sun as \Veil as by the Earth. >( ( d) it is freely faUii1g but it has a higl1 tangential velocity.
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4. (II) What is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 45 rpm. ( revolutions per minute) if the wheel's diameter is 35 cm?
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Chapter 5
18. (II) Tarzan plans to cross a gorge by swinging in an arc from a hanging vine (Fig. 5- 42). If his arms are capable of exerting a force of 1150 N on the vine, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 78 kg and the vine is 4.7 m long.
FIGURE 5-42 Problem 18.
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