Fundamentals of Physics, Extended
12th Edition
ISBN: 9781119773474
Author: David Halliday; Robert Resnick; Jearl Walker
Publisher: Wiley Global Education US
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Chapter 10, Problem 97P
To determine
To determine the value of
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A strap, rod, or something comparable is used to spin up the disc. I imagine someone hand-starting a lawnmower.
If he pulls the strap with a final speed before pulling the strap away, what is the rotation rate of the disk, ω in rev/s? The moment of inertia of a disc is 1/2MR2. There's no sliding.
Strap's final speed = v = 0.99 m/s.
The disc's radius is R = 0.3 m
The disc's mass is M = 0.8 kg
Only answer part d, e and f. Answers to a, b and c are given.
I have two disks. I know that disk A has a mass per unit area σ given by σ = 5r2 and disk B has σ = 3r3.
Each disk has radius 10cm.
I have a slope at angle 45 degrees to the horizontal that is 2 m long.
I time with a stop watch how long it takes the disks to roll down the slope without slipping.
(Assuming that the disk’s are let go with zero velocity at the top of the slope).
a) Calculate the mass of each disk.
Answer:
Ma=7.85×10-4kg
Mb=3.76×10-5kg
b) Calculate the moment of inertia each disk.
Answer:
Ia= 5.23×10-6kgm2
Ib= 2.69×10-7kgm2
c) Calculate the acceleration down the slope for both disks.
Answer: aA=4.16 aB=4.04
d) Calculate the time it takes for each disk to roll.
e) What is the total kinetic energy for each disk at the end of the slope?
f) At the end of the slope, a fly on the very edge of disk A walks towards the center of the disk at a speed of 1cm/s. What Coriolis acceleration is felt by the fly as it sets…
A small ball of mass 740.0 g is placed in a tube that is bent into a circular arc of radius R= 67.5 cm.The friction between the ball and the walls of the tube is negligible. The ball has an iron core. A magnet is used to raise the ball until it makes an angle of 5.00 degrees with the vertical, and then released from rest. Where will the ball be 1.20 seconds after being released? Express your answer in terms of the angle,θ, that the ball makes with the vertical.
Chapter 10 Solutions
Fundamentals of Physics, Extended
Ch. 10 - Prob. 1QCh. 10 - A force is applied to the rim of a disk that can...Ch. 10 - A good baseball pitcher can throw a baseball...Ch. 10 - What is the angular speed of a the second hand, b...Ch. 10 - When a slice of buttered toast is accidentally...Ch. 10 - The angular position of a point on a rotating...Ch. 10 - ILW A diver makes 2.5 revolutions on the way from...Ch. 10 - The angular position of a point on the rim of a...Ch. 10 - The angular acceleration of a wheel is = 6.0t4 ...Ch. 10 - A drum rotates around its central axis at an...
Ch. 10 - Starting from rest, a disk rotates about its...Ch. 10 - A disk, initially rotating at 120 rad/s, is slowed...Ch. 10 - The angular speed of an automobile engine is...Ch. 10 - ILW A flywheel turns through 40 rev as it slows...Ch. 10 - GO A disk rotates about its central axis starling...Ch. 10 - SSM Starting from rest, a wheel has constant =...Ch. 10 - A merry-go-round rotates from rest with an angular...Ch. 10 - At t = 0, a flywheel has an angular velocity of...Ch. 10 - A pulsar is a rapidly rotating neutron star that...Ch. 10 - What are the magnitudes of a the angular velocity,...Ch. 10 - An object rotates about a fixed axis, and the...Ch. 10 - Between 1911 and 1990, the top of the leaning bell...Ch. 10 - An astronaut is tested in a centrifuge with radius...Ch. 10 - SSM WWW A flywheel with a diameter of 1.20 m is...Ch. 10 - A vinyl record is played by rotating the record so...Ch. 10 - SSM a What is the angular speed about the polar...Ch. 10 - The flywheel of a steam engine runs with a...Ch. 10 - A seed is on a turntable rotating at 3313 rev/min,...Ch. 10 - Figure 10-32 shows an early method of measuring...Ch. 10 - A gyroscope flywheel of radius 2.83 cm is...Ch. 10 - GO A disk, with a radius of 0.25 m. is to be...Ch. 10 - A car starts from rest and moves around a circular...Ch. 10 - SSM Calculate the rotational inertia of a wheel...Ch. 10 - SSM Two uniform solid cylinders, each rotating...Ch. 10 - SSM Calculate the rotational inertia of a meter...Ch. 10 - Trucks can be run on energy stored in a rotating...Ch. 10 - Four identical particles of mass 0.50 kg each are...Ch. 10 - SSM A small ball of mass 0.75 kg is attached to...Ch. 10 - The length of a bicycle pedal arm is 0.152 m, and...Ch. 10 - SSM ILW During the launch from a board, a divers...Ch. 10 - If a 32.0 N m torque on a wheel causes angular...Ch. 10 - GO A pulley, with a rotational inertia of 1.0 103...Ch. 10 - Prob. 58PCh. 10 - An automobile crankshaft transfers energy from the...Ch. 10 - A thin rod of length 0.75 m and mass 0.42 kg is...Ch. 10 - A 32.0 kg wheel, essentially a thin hoop with...Ch. 10 - SSM ILW A meter stick is held vertically with one...Ch. 10 - A uniform cylinder of radius 10 cm and mass 20 kg...Ch. 10 - GO A tall, cylindrical chimney fall;; over when...Ch. 10 - Prob. 68PCh. 10 - A wheel, starling from rest, rotates with a...Ch. 10 - Prob. 72PCh. 10 - A uniform helicopter rotor blade is 7.80 m long,...Ch. 10 - Prob. 75PCh. 10 - Starting from rest at t = 0, a wheel undergoes a...Ch. 10 - SSM A record turntable rotating at 3313 rev/min...Ch. 10 - Prob. 79PCh. 10 - A disk rotates al constant angular acceleration,...Ch. 10 - Prob. 82PCh. 10 - Prob. 84PCh. 10 - Prob. 85PCh. 10 - Prob. 86PCh. 10 - Prob. 87PCh. 10 - Prob. 88PCh. 10 - Prob. 89PCh. 10 - Prob. 90PCh. 10 - Prob. 91PCh. 10 - Prob. 92PCh. 10 - Prob. 93PCh. 10 - Prob. 94PCh. 10 - Prob. 95PCh. 10 - Prob. 96PCh. 10 - Prob. 97P
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