a) Fill in the blanks with the phrase a greater, the phrase a smaller, the phrase thesame, or the phrase I don't know.(i) Two solid objects have the same mass. Both rotate around the same axis. The one that has more of its mass close tothe axis hasmoment of inertia for that axis.(ii) Two solid objects have the same shape and size. Both rotate around the same axis. The one that has the greater massmoment of inertia for that axis.has(iii) In one situation you spin a ball around an axis through its center. In a second situation you tie one end of a longstring around the same ball, hold the other end of the string in your hand, and whirl the ball around your head.Compared to the moment of inertia of the ball for the first situation, the moment of inertia of the ball for the secondsituation hasvalue.(b) Two spheres, each of mass m, are connected by a rod. (The massof the rod is so small that it can be ignored.) The X shows theposition of the center of mass (cm) of the system. Three possibleMass mMass mrotation axes, 1, 2, and 3, are shown. Rank the moments of inertia ofcmthe system for these three axes, from largest to smallest. Explain howyou made your ranking.AxisAxisАхis# 1#2# 3(c) Two spheres, one of mass m and one of mass 2m, are connectedby a rod. (The mass of the rod is so small that it can be ignored.) TheX shows the position of the center of mass (cm) of the system. ThreeMass mMass 2mpossible rotation axes, 1, 2, and 3, are shown. Rank the moments of|cminertia of the system for these three axes, from largest to smallest.Explain how you made your ranking.Axis# 1AxisAxis# 2# 3

concept used: moment of inertia of a object of mass m and at distance R from axis of rotation is…

a) Fill in the blanks with the phrase a greater, the phrase a smaller, the phrase fthe same, or the phrase I don't know. 1) Two solid objects have the same mass. Both rotate around the same axis. The one that has more of its mass close to the axis has_ moment of inertia for that axis. (i) Two solid objects have the same shape and size. Both rotate around the same axis. The one that has the greater mass has moment of inertia for that axis. (iii) In one situation you spin a ball around an axis through its center. In a second situation you tie one end of a long string around the same ball, hold the other end of the string in your hand, and whirl the ball around your head. Compared to the moment of inertia of the ball for the first situation, the moment of inertia of the ball for the second situation has value.

a) Fill in the blanks with the phrase a greater, the phrase a smaller, the phrase fthe same, or the phrase I don't know. 1) Two solid objects have the same mass. Both rotate around the same axis. The one that has more of its mass close to the axis has_ moment of inertia for that axis. (i) Two solid objects have the same shape and size. Both rotate around the same axis. The one that has the greater mass has moment of inertia for that axis. (iii) In one situation you spin a ball around an axis through its center. In a second situation you tie one end of a long string around the same ball, hold the other end of the string in your hand, and whirl the ball around your head. Compared to the moment of inertia of the ball for the first situation, the moment of inertia of the ball for the second situation has value.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: In a certain experiment, you fill a bucket half way up with water and then set the bucket in the…

A: Given data: In the given problem, bucket of ice is move in rotational motion. When ice starts…

Q: Consider a cylinder of length L and radius R with density given by p(r) = po"/R: a) What is the mass…

A: (a) Let the given cylinder’s volume be denoted by V. Its total mass (M) can be determined by…

Q: 2 kg point mass is at coordinates (4 m, 7 m), a 6 kg mass is at (-8,9) and a 3kg mass is at (x,y) of…

A: In the question three masses are given and their coordinates in xy plane are also given we have to…

Q: what is the current magnitude ? of the angular momentum of the car about the diner

Q: A 1740 kg car has just passed a diner. The closest the car came to the diner was R = 36.5 m, but the…

Q: Joey, whose mass is 36 kg, stands at the center of a 200 kg merrygo- round that is rotating once…

A: Given mass of Joey m=36 kgmass of merry go round m1=200 kgWhen Joey is all the centerIt is…

Q: Every summer, your family goes to Callaway Gardens to see the acrobats in the Flying High Circus.…

A: Conservation of angular momentum: The angular momentum of a system is conserved if there is no net…

Q: A car steps into the stationary bucket of a well, so that both cat and bucket have a combined mass…

Q: A merry-go-around with moment of inertia of I and radius of R rotates with angular speed of w0. A…

A: The initial angular momentum of the merry-go-round can be given as, Li=I.ω0 When a metal block is…

Q: When kicking a football, the kicker rotates his leg about the hip joint. a) If the velocity of the…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: The moment of inertia of a solid sphere is 10kgm2. What will be the moment of inertia of a very thin…

A: Given: The moment of inertia of a solid sphere is 10kgm2. To find: The moment of inertia of a very…

Q: |=mr²/4

Q: When kicking a football, the kicker rotates his leg about the hip joint. a) If the velocity of…

Q: A cylinder, a sphere and a hoop of the same masses and radii are rolling from an inclined plane.…

A: Cylinder , sphere and hoop, Moment of inertia of cylinder = I = 12mr2 Radius of gyration of…

Q: A bar is acted upon by equal magnitude forces at different points along its length. The center of…

A: None of these

Q: A massless rod connects two masses and rotates about a fixed axis through the center. Can the total…

A: In one dimensional motion constant speed is associated with zero acceleration, whereas in two and…

Q: Problem 2: A 120 gram record with a radius of 15 cm is on a turntable which is rotating at 78 rpm.…

Q: Two masses m, and m, with m, > m, are on a turntable (CD-DVD) that steadily speeds up, starting from…

A: Centrifugal force: When a body is placed in a rotating frame, then it experiences a force away from…

Q: A rock tied to the end of string swings at a constant angular rate. If you are told that the string…

A: Put the concept of Centripetal Force here and then solve for omega.

Q: A 7 kg point mass is at coordinates (4 m, 6 m), a 5 kg mass is at (-3,8) and a 4kg mass is at (x,y)…

A: The position of the point masses is shown below.

Q: With the aid of a string, a gyroscope is accelerated from rest to 38 rad/s in 0.36 s. part a) What…

A: Given initial angular velocity = 0 Final angular velocity = 38 rad/s t = 0.36 s

Q: The tires of a car make 77 revolutions as the car reduces its speed uniformly from 95.0 km/h to 65.0…

Q: 1. A thin stick (m, ) has a pin through the bottom about which it can freely rotate and a massless…

Q: The two objects in the figure are separated by 4 m, each have a mass of 5 kg, and are connected by a…

Q: Find the moment of inertia

A: The questions are answered below

Q: In outer space two space modules are joined together by a massless cable. These probes are rotating…

A: given data initial tangential speed = 10.6 m/s distance is reduced by factor 3 final tangential…

Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

a) Fill in the blanks with the phrase a greater, the phrase a smaller, the phrase the
same, or the phrase I don't know.
(i) Two solid objects have the same mass. Both rotate around the same axis. The one that has more of its mass close to
the axis has
moment of inertia for that axis.
(ii) Two solid objects have the same shape and size. Both rotate around the same axis. The one that has the greater mass
moment of inertia for that axis.
has
(iii) In one situation you spin a ball around an axis through its center. In a second situation you tie one end of a long
string around the same ball, hold the other end of the string in your hand, and whirl the ball around your head.
Compared to the moment of inertia of the ball for the first situation, the moment of inertia of the ball for the second
situation has
value.
(b) Two spheres, each of mass m, are connected by a rod. (The mass
of the rod is so small that it can be ignored.) The X shows the
position of the center of mass (cm) of the system. Three possible
Mass m
Mass m
rotation axes, 1, 2, and 3, are shown. Rank the moments of inertia of
cm
the system for these three axes, from largest to smallest. Explain how
you made your ranking.
Axis
Axis
Ахis
# 1
#2
# 3
(c) Two spheres, one of mass m and one of mass 2m, are connected
by a rod. (The mass of the rod is so small that it can be ignored.) The
X shows the position of the center of mass (cm) of the system. Three
Mass m
Mass 2m
possible rotation axes, 1, 2, and 3, are shown. Rank the moments of
|cm
inertia of the system for these three axes, from largest to smallest.
Explain how you made your ranking.
Axis
# 1
Axis
Axis
# 2
# 3

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Two identical disks rotate about fixed axes with negligible mass. Identical masses are attached to strings wrapped around the axis and the outside rim, respectively, of the two disks. The masses are then released from rest at the same height. Which one takes longer to reach the ground?
A 8 kg point mass is at coordinates (8m, 4m), a 2 kg mass is at (-9,6) and a 3kg mass is at (x,y) of (5,-9) . Find the moment of inertia about the x axis. Find 1z=______ kg-m2
While sitting in physics class one day, you begin to ponder the workings of the analog clock on the classroom wall. You notice as the hands sweep in a continuous motion that there are exactly t = 41 minutes left in class. Calculate the angular velocity of the second hand in radians per second? Calculate the angular velocity of the minute hand in raidans per second? Calcualte the angualr velocity of the hour hand in raidas per second.
A 6 kg point mass is at coordinates (9 m, 4 m), a 7 kg mass is at (-6,2) and a 7kg mass is at (x,y) of (9,-2). Find the moment of inertia about the x axis. Ix = kg-m2
Q2: Three planets of identical mass m are interacting gravitationally (no other force). These planets are assumed to be at the vertices of the triangle with all sides of length L. Consider the motion of any one of the planets about the center of mass COM of the system, determine the special angular velocity that will keep L constant.
2. In the thin plate shown below, the material has a mass per unit area of 20 kg/m² (that is, instead of thinking of this as a volume with a thickness, we're just focused on the 2D area of the shape). What is the moment of inertia of this plate around the pivot point, O? 50 mm 400 mm 150 mm 150 mm 400 mm
Diving from a high cliff, Cliff begins with a moderate rotational speed of a half rotation per second. Rank the following positions (and their moments of inertia) that cliff can assume during his dive, from the lowest rotational speed he will experience to the highest. + 1. Standing straight up, spinning about a head-to-toe axis: I = 0.3 kg m2 + 2. Bent in half, about an axis through his waist: I = 4 kg m- %3D + 3. Standing straight upwards, about an axis through his waist: I = 16 kg m2 + 4. Mass tucked inwards into a ball: I = 0.8 kg m- + 3. Arms out, spinning about a head-to-toe axis: I = 1.2 kg m2
1) Blocks of mass m1 and m2 are connected by a massless string that pulls over the pulley in the figure. Initially, the system is at rest. The table is frictionless. The pulley is frictionless, but it does have mass Mp and radius R. The moment of inertia of the pulley is Ipulley=2/3MR2 (note that this is DIFFERENT than what we have used in the practice test examples). Consider that at t=0 (initially) m2 is H meters above the ground. In this problem, H=60 cm., R=7 cm., Mpulley=1.8 kg, m1=6 kg, and m2=15 kg. (a)Using those energies from the above table that apply to this question and identifying the ground as the point of "zero height", use "conservation of energy" to find the speed of m2 just as it hits the ground. There are no non-conservative forces outside of the system to consider, so Ef=Ei (the initial state is when the system is at rest and m2 is hanging H meters above the ground, and the final state is when the system is moving (both blocks are moving and the pulley is spinning)…
An old vinyl record is played on a turntable that turns at a rate of 45 rotations per minute. Find the angular speed in radians per second. Give your answer as a fraction and do not include units. Keep your answer in terms of π if necessary.
A compact disk (CD) in the computer rotates with a speed of 750 revolutions per minute A-express the angular speed of the CD IN THE unit of radian/ sec B- how long it takes for the CD to complete 7 revolutions