Four particles of masses m, 2m, 3m, 4m are located at the points (a, a, a) , (a, -a, -a), (-a, a, -a), (-a, -a, a) respectively and all are rigidly con- nected with one another by a light frame. Using the basic definitions of moments and product of M.I. Show that the principal M.I of the system at origin are 20ma² , 2(10 + /5)ma² and 2(10 – V5)ma? pr

Four particles of masses m, 2m, 3m, 4m are located at the points (a, a, a) , (a, -a, -a), (-a, a, -a), (-a, -a, a) respectively and all are rigidly con- nected with one another by a light frame. Using the basic definitions of moments and product of M.I. Show that the principal M.I of the system at origin are 20ma² , 2(10 + /5)ma² and 2(10 – V5)ma? pr

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 49P: The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min....

See similar textbooks

Related questions

Q: In Figure 1, calculate the magnitude of the net Coulomb force on charge Q2 = +4.0 µC due to charges…

Q: Find to three significant digits the charge and the mass of the following particles. Suggestion:…

A: We need to find the mass and charge on ion

Q: R1=82 +, BV R3=62 R2=32 Figure Q1(b)(ii)

Q: LO 7: Using the symmetry of the arrangement, determine the direction of the force on q in the figure…

Q: Figure 3b. Book on a table Situation 2 1. Place a book on top of a table as shown in Figure 3b. Q4.…

Q: 50.0 N 1.00 m T= 2. What is the distance x in the figure below?

A: Solving the Differential Equation for Charging:Write the loop rule equation:Vo - iR - Vc = 0…

Q: A bicyclist moves at a constant speed of 4 m/s. How long it will take for the bicyclist to move 36…

A: Given Speed of the bicyclist is v= 4 m/s Distance travelled is d= 36 m Find the time taken.

Q: A small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle…

A: small object with mass 4.45 kg moves counterclockwise with constant speed 1.60 rad/s in a circle of…

Question

100%

Assi nt
m
For:
2 = (1,0,0)
서=11
= (0.
alphaaa_m
3
m alpt
alphaaa_m
11
alphaaa
alph
Due Date : December
m alphaaa m
alphaa
10
2021
1. A uniform solid rectangular block of mass m has a square base with
edges of length 2a and height a using cartesian axes parallel to the height
and to the edges of the base. Show that principal moment of inertia of
the block relative to the corner of the base are ma², ({ + V1) -
alpaaa_m
(- V) ma?. Also find the principal axes.
a
, (a, -a, -a), (–a, a, -a), (-a, –a, a) respectively and all are rigidly con-
nected with one another by a light frame.
Using the basic definitions of moments and product of M.I. Show that
the principal M.I of the system at origin are 20ma² , 2(10 + V5)ma² and
2(10 – V5)ma?
2. Four particles of masses m, 2m, 3m, 4m are located at the points (a, a, a)
ma²,
In the next lecture we will introduce the Principal Axes for Plane Body and
then will solve some related examples.
preview
alphaaa_m
alphaaa_malphaaa
alphaaa_m
alphaaa_m
alphaaa_m
alphaaa_m
e alphaaa_m alphaaa
m
alpha
_m
m alphaaa_m
alphaa
alpr
alphaa
alphaa

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

A top has moment of inertia 3.2104kgm2 and radius 4.0 cm from the center of mass to the pivot point. If it spins at 20.0 rev/s and is precessing, how many revolutions does it precess in 10.0 s?
A particle has mass 0.5 kg and is traveling along the line x=5.0m at 2.0 m/s In the positive y-direction. What is the particle’s angular momentum about the origin?
A pendulum consists of a rod of length 2 m and mass 3 kg with a solid sphere of mass 1 kg and radius 0.3 m attached at one end. The axis of rotation is as shown below. What is the angular velocity of the pendulum at its lowest point if it is released from rest at an angle of 30 ?
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through one of its ends. Find the magnitude of the rodsangular momentum.
A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its center with angular speed 1=5.0rad/s . A second cylinder with rotational inertia I2=1.0kgm2 rotates counterclockwise about the same axis with angular speed 2=8.0rad/s . If the cylinders couple so they have the same rotational axis what is the angular speed of the combination? What percentage of the original kinetic energy is lost to friction?
If a rigid body has a constant angular acceleration, what is the functional form of the angular position?
Repeat the preceding problem replacing the marble with a solid cylinder. Explain the new result.
A roller coaster has mass 3000.0 kg and needs to make it safely through a vertical circular loop of radius 50.0 m. What is the minimum angular momentum of the coaster at the boom of the loop to make it safely through? Neglect friction on the track. Take the coaster to be a point particle.
A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an incline to a vertical height of 1.0 m. If a hollow sphere of the same mass and radius is given the same initial velocity how high vertically does it roll up the incline?
A potter’s disk spins from rest up to 10 rev/s in 15 s. The disk has a mass 3.0 kg and radius 30.0 cm. What is the angular momentum of the disk at t=5s , t=10s ?
A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is 30 . The coefficient of kinetic friction on the surface is 0.400. What is the angular acceleration of the solid cylinder? What is the linear acceleration?
Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about its axis through its center and is perpendicular to the page. The cylinder has a mass of 0.5 kg and a radius of 10 cm, and is initially at rest. (a) What is the angular velocity of the system after the collision? (b) How much kinetic energy is lost in the collision?