A Q21. Below are four identical figure L's, which are constructed from two rods of equal lengths and masses. For each figure, a different axis of rotation is indicated by the small circle with the dot inside, which indicates an axis that is perpendicular to the plane of the L's. The axis of rotation is located either at the center or one end of a rod for each figure. Rank these L figures according to their moments of inertia about the indicated axes, from largest to smallest. Ignore the width of each rod but not the length. (C, ABD; parallel axis theorem; use I for rods)

A Q21. Below are four identical figure L's, which are constructed from two rods of equal lengths and masses. For each figure, a different axis of rotation is indicated by the small circle with the dot inside, which indicates an axis that is perpendicular to the plane of the L's. The axis of rotation is located either at the center or one end of a rod for each figure. Rank these L figures according to their moments of inertia about the indicated axes, from largest to smallest. Ignore the width of each rod but not the length. (C, ABD; parallel axis theorem; use I for rods)

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: 3. In this lab, there will be a mass, hanging from a string. The mass will be accelerating…

A: A mass m is hanging on a string and accelerating downwards with magnitude a.

Q: Two horizontal rods are each held up by vertical strings tied to their ends. Rod 1 has length L and…

A: Given:Length of rod 1 si L,Mass of rod 1 is M Length of rod 2 is 2L and Mass of rod 2 is 2M.

Q: A bicyclist starting at rest produces a constant angular acceleration of 1.30 rad per second squared…

A: Given: Angular acceleration, α = 1.30 rad/s radius of wheel, r = 36.0 cm To Find: (a) Bicycle linear…

Q: 2. A force, F = 3 N acts on a cube at a point with a radial vector, r= 3 i+3 k. See diagram, If the…

Q: s at his side, on a

Q: A clinical blood centrifuge operates at ω= 1200 rpm. a.) What is the angular velocity measured in…

Q: Which of the following has the highest moment of inertia when each of them has the same mass and the…

A: By perpendicular axis theorem a) I =mr2/2 b) I = mr2/4 c) I = (2/3)mr2 d) I = (2/5)mr2

Q: The ball has a mass of 80 grams and is moving 10 m/s. The rod has a mass of 500 grams and a radius…

Q: These 200kg, 300kg, and 500kg are 0.123m, 0.234m and 0.345m distant from the axis of rotation…

Q: A. What are the astronauts' new speeds? B. What is the new rotational energy of the system?…

A: When the net external torque on a system is zero, then the angular momentum of the system is…

Q: Q1. You designed an intravascular blood pump to help patients with heart failure. The pump design is…

Q: w = 0 v = 0 The block of mass m=4.30 kg is attached to a light string around a pulley, as shown in…

A: Write the equation for the torque. TorqueT=MOI×Angular acceleration αT=Iα…

Q: A freely rotating satellite leaves the cargo bay of the space shuttle. The satellite makes 2…

Q: How much torque would it take to make the wheel speed up from rest to 1.5 rev/sec in 10 sec? b. Now…

A: The moment of inertia of a rigid body is the sum of the products of the masses of all the particles…

Q: A circular disk has a radius R and mass M. A hole with a diameter R is drilled on it as shown in the…

A: Given that: The inertia of disk is Idisk=12MR2.

Q: When there is no food in my microwave oven, the acceleration of the turntable is 0.150 rad/s2. The…

Q: IR = mL212+ m R+L22 Not sure what the equation means?

Q: Please cal ate the noment of Inertia values for each figures according to the defined rotation…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: The bar in the picture below has a mass of 2 kg, uniformly distributed. Assume gravity is acting…

A: Given , Force (F ) = 10 N ,making an angle 35 degree with the horizontal. Length of the bar(l) =…

Q: Calculate the moment of inertia, I for this mass-less rod that has three masses attached at the…

Q: A 25.0 kg child sits at the outer edge of a merry-go-round that has mass 200 kg and radius 4.0 m and…

Q: Determine the mass moment of inertia of a Pyrex glass shaft that is 5 ft long and has a diameter of…

A: Length of Pyrex glass shaft L=5 ft Diameter of shaft d=623 in=203 in

Q: Calculate the moment of inertia of the illustrated section with respect to the x-axis. Answer: 5.375…

A: Consider the left side section and right side section as section 1 and 3, respectively and the…

Q: 2. Consider a 15-lb, thin, square plate 2½ feet along each side. You wish to modify this plate to…

A: Given data: The weight of the square plate is W=15 lb=6.8 Kg length of sides of the square plate…

Q: Three pairs of balls are connected by very light rods as shown. Rank in order, from smallest to…

Q: A 14-cm diameter CD has a mass of 22 g . What is the CD's moment of inertia for rotation about…

A: Given data: Diameter (D) = 14 cm Mass (m) = 22 g = 0.022 kg Required: Moment of inertia for…

Q: The axis of rotation of a thin plate is located at the left side, as shown in the figure. Calculate…

A: Length of the sheet is Width of sheet is The mass density is Note:Find:Moment of inertia of given…

Q: A 1.9 m long rod has mass 7.6 kg. If the rotation axis is located at one end of the rod, then find…

A: To determine: The moment of inertia of a long rod Given: Mass of the rod, M=7.6 kg Length of the…

Q: A 12.0-kg mass is located at the 4.0 mi + 3.5 m j + 3.0 m k. A 5.0-kg mass is located at -5.0 mi +…

Q: A 1.5 m door is pulled by F=20N as shown in the figure. The mass of the door is 50kg. a)What is the…

A: Let M denotes the mass of the door which is given as 50kg. The length of the door (L) is given as…

Q: Two wheels of moment of inertia 5.1 kg.m2 and 7.5 kg.m2 are set in rotation with angular speed 4.3…

Q: Dr. H's daughter likes to empty out boxes of soda and roll the soda cans across the floor. One can…

A: Given that can of soda is modeled as solid cylinder. diameter of can, d = 6.6 cm = 0.066 m mass of…

Q: The three 'point' masses are as shown in the figure. m, - 2.0 kg at (x, y) =(0,0), m₂ = 3.0 kg at…

Q: Consider a sphere of mass m and radius a, and centroidal axes x, y, and z. If the moment of inertia…

Q: her position and changes her speed of rotation to 1.44 rps. What is her new moment of inertia in the…

A: GivenInitial angular speed, ωi=3.05 rpsIntial moment of inertia, Ii=1.04 kg/m2Final angular speed,…

Q: A wheel (radius = 0.25 m) is mounted on a frictionless, horizontal axis. The moment of inertia of…

Q: 1. Express the kinetic energy of the body rotating about an axis through its center of mass. II.…

A: According to the conservation of energy, 12mv2+12Isωs2+12Ipωp2=mgh…

Q: A diver comes off a board with arms straight up and legs straight down, giving her a moment of…

Q: Two wheels of moment of inertia 3.0 kg.m2 and 6.6 kg.m are set in rotation with angular speed 4.1…

Q: The axis of rotation of a thin plate is located at the left side, as shown in the figure. Calculate…

Q: The drawing shows three objects rotating about a vertical axis. The mass of each object is given in…

A: The given problem is based on the calculation of the moment of inertia. The moment of inertia is…

Q: The three 160 g masses in (Figure 1) are connected by massless, rigid rods. a) What is the…

A: each mass (m) = 160 g m = 0.16 kg mass of rods = negligible length of each rod (L) = 40 cm L = 0.4 m…

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
B
Q21. Below are four identical figure L's, which are constructed from two rods of equal
lengths and masses. For each figure, a different axis of rotation is indicated by the small
circle with the dot inside, which indicates an axis that is perpendicular to the plane of
the L's. The axis of rotation is located either at the center or one end of a rod for each
figure. Rank these L figures according to their moments of inertia about the
indicated axes, from largest to smallest. Ignore the width of each rod but not the
length. (C, ABD; parallel axis theorem; use I for rods)
D

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 formula used

Step 2 solution

Step 3

Step 4

Step 5

Step 6 final answer

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 5 images

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

Six brass and aluminum spheres are connected by three lightweight rods to form a rigid object shaped like a jack. The brass spheres are shaded and have greater mass and the aluminum are not shaded and have less mass. Rank the rotational inertia of each object around the z axis from greatest to least. Separate characters with a space. Enter your answer as A > B or A = B if they are equal, ... Equal values can be entered in any order.
A Bicycle tire has a radius of .4m and a mass of 2.2 kg. What is the moment of inertia for the bicycle tire? The bicycle completes 4.5 rotations in 2.8 seconds. What is the magnitude of the kinetic energy in the tire?
Can you please answer number 2
A ball of radius Ris rolling across a rough surface without slipping. What is the relationship between the angular speed w and the translational speed v? Image size: Select the correct answer Ου-R/ω Ου- 1/ω O v= w Ου-ω/R O V = Rw
The three masses are connected by massless, rigid rods. The masses are mA = 0.229 kg, mB = 0.342 kg and mC = 0.442 kg, a. What is the triangle’s moment of inertia about the axis through the center? I = b. What is the triangle’s kinetic energy if it rotates about the center axis at 6.83 rev.s-1? K =
A 6 cm diameter, 550 g solid sphere is released from rest at the top of a 2.0 m long, 35° incline. It rolls, without slipping, to the bottom. a. What is the sphere’s angular velocity at the bottom of the incline?b. What fraction of its kinetic energy is rotational?
A large wind turbine (typical of the size and specifications of a turbine that you see in a modern wind farm) has three blades connected to a central hub. The blades are 50 m long and rotate at 10 rpm. What angular speed ω does this correspond to? What is the speed ν of the tip of a blade? What is the speed of a point 25 m from the hub?
Two wheels of moment of inertia 7.4 kg.m2 and 2.4 kg.m2 are set in rotation with angular speed 5.5 rad/s and 9.2 rad/s, respectively. When they are coupled face to face (as shown in the figure) they rotate with a common angular speed w due to frictional forces, What is w? Before coupling After coupling a. 6.41 rad/s O b. 16.59 rad/s O c. 4.15 m rad/s O d. 6.41 n rad/s CLEAR MY CHOICE
Pls help ASAP.
Bob rolls a hollow sphere with a mass M = 6.82 kg and radius R = 10.9 cm up a hillside, giving it an initial kinetic energy of Ki. It rolls over the top of the hill of height h and keeps going. The ball rolls without slipping the whole way, but it loses Wnc due to non-conservative forces between the foot of the hill and the top. a. Find its rotational inertia. b. Given the height of the hill is h = 1.6 m, and Ki = 135 J, find the total kinetic energy Ktot at the top of the hill. c. Find the translational velocity at the top of the hill.
Determine the moment of inertia about the x-axis of the rectangular area without and with the central rectangular hole. 0.3b 0.8b 0.3b Answers: 0.56 1.3b +0.50 + Without hole Ix² i With hole i 64 64