2. Four identical spheres of masses 2.0 kg each and radius of 0.25 m are situatedat the four corners of a square. One side of the square measures 3.00 m. Findthe moment of inertia about an axis (a) passing through the center of the squareand perpendicular to its plane, (b) passing through one of the masses andperpendicular to its plane, (c) passing through two adjacent masses parallel xothe plane, and (d) in the plane running diagonally through two masses.axis(b)(a)axisaxisaxis(c)(d)

Answered: Image /qna-images/answer/2519dc09-abb1-4358-9e24-ecaab391bd68.jpg

Four identical spheres of masses 2.0 kg each and radius of 0.25 m are situat at the four corners of a square. One side of the square measures 3.00 m. Fi the moment of inertia about an axis (a) passing through the center of the squa and perpendicular to its plane, (b) passing through one of the masses a perpendicular to its plane, (c) passing through two adjacent masses parallel the plane, and (d) in the plane running diagonally through two masses. axis (b) (a) axis axis axis (d)

Four identical spheres of masses 2.0 kg each and radius of 0.25 m are situat at the four corners of a square. One side of the square measures 3.00 m. Fi the moment of inertia about an axis (a) passing through the center of the squa and perpendicular to its plane, (b) passing through one of the masses a perpendicular to its plane, (c) passing through two adjacent masses parallel the plane, and (d) in the plane running diagonally through two masses. axis (b) (a) axis axis axis (d)

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

Similar questions

A merry-go-round (carousel) starts from rest and accelerates with a constant angular acceleration of 0.02 revolution per secondper second. A woman sitting on a chair 6 meters from the axis of revolution holds a 2 kg ball. Calculate the magnitude and direction ofthe force she must exert to hold the ball 5 seconds after the merry-go-roundbegins to rotate. Specify the direction with respect to theradius of the chair on which she is sitting.
(a) Calculate the angular momentum of an ice skater spinning at 6.00 rev/s given his moment of inertia is 0.400 kg.m. (b) He reduces his rate of spin (his angular velocity) by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia if his angular velocity decreases to 1.25 rev/s. (c) Suppose instead he keeps his arms in and allows friction of the ice to slow him to 3.00 rev/s. What average torque was exerted if this takes 15.0 s?
From a uniform circular disc of radius R and mass 9M, a small disc R. of radius is removed as shown in 3 the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is 37 (a) MR² 9 40 9 (c) 2 -MR² 2 (b) 4MR² 2 (d) 10MR² R 2R 3 ↓
A solid cylinder of uniform density of radius 2 cm has mass of 50 g. If its length is 10 cm, Calculate its moment of inertia about (i) its own axis of rotation passing through the centre. (ii) an axis passing through its centre and perpendicular to its length.
two uniform solid spheres,A and B have the same mass.Each spbere,A and B has their own axis of rotation,the radius of sohere B is twice of sphere A.Which one of the following is true? (give I = 2/5mr^2) a)the moment of inertianof A IS 1/2 B b)the moment of inertianof A is 5/2 of B c) the moment of inertia of A is 1/4 B d)the two spheres have equal moments of inertia
As a physics demonstration, a special bowling ball is made so that it can be rotated about its center of mass to get a feel for how "big" a moment of inertia of 1 kg⋅m2 is. The average bowling ball has a weight of 15.4 lbs and a circumference of 26.3 inbut it does not have a moment of inertia equal to 1 kg⋅m2.Since the sporting goods manufacturer has no understanding of how "big" 1 kg⋅m21 is, calculate the diameter ? demo of the demo bowling ball, in inches, that it will need to manufacture. Assume that bowling balls are solid, with a constant density. D of demo required in inches.
A space craft may be modeled as a uniform disk. Suppose the disk shaped craft has a mass of 2500 kg and a radius of 5.67 ngedalla par pplica meters. (a) What is the moment of inertia of the spacecraft? (b) Two rocket engines on opposite sides of the craft each apply an identical tangential force to impart a uniform angular acceleration in the counterclockwise sense. Suppose the craft acceleration from rest to an angular velocity of 1.00 revolutions per second in the counter clockwise sense over a period of 30.0 seconds. What is this final angular velocity in radians per second? (c) What is the angular acceleration of the craft over the period of uniform angular ac- celeration? (d) What net torque is needed to achieve the angular acceleration in part (c)? (e) What force is applied by each rocket engine during the period of uniform angular accel- eration?
A uniform solid sphere of mass 12.0 kg and radius 7.0 cm rotates at 300 revolutions per minute (rpm) on an axis passing through its center. Calculate: a) Its moment of inertia b) Its rotational kinetic energy c) The angular momentum (L), that is, the magnitude of the product Iw, in the appropriate IS units d) Based on the general definition of the moment of inertia (I = Mr²), determine the radius of gyration of the sphere around the axis that passes through its center.
What is the moment of inertia of a circular ring with mass M = 2 kg and radius R = 3 m with respect to the axis perpendicular to its surface and passing through its center.
The moment of inertia of the slab having mass m and length I about an axis passing through the center of mass (com) is Icom What is the moment of inertia about the axis of rotation shown in the fig? [4 minutes] 1/3 com 1/4 Axis of rotation Select one: mi O 1=com + com 16 com 3.
Twin skaters approach one another as shown in the figure below and lock hands. (a) Calculate their final angular velocity, given each had an initial speed of 1.60 m/s relative to the ice. Each has a mass of 70.0 kg, and their centers of mass are 0.850 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius. rad/s(b) Compare the initial and final kinetic energy. Ki Kf =
A 7.5-kg uniform cylindrical roller (radius 0.50 m), initially at rest, is acted upon by a 25N rightward force, applied on its center of gravity. The body rolls without slipping over a distance of 8 m. The mass moment of inertia of a cylinder about its centroidal longitudinal axis is 1/2 mr2 a) determine the magnitude and direction of the constant angular acceleration of the cylinder as it rolls over the horizontal platform.