6. Y is that? Consider the following composite body as shown. The composite body is made up of uniform rods each of mass M and length L. The moment of inertia of each rod through its center of mass and perpendicular to its length is Iem = ML². What is the moment of inertia of the composite object when it is allowed to rotate about the Y axis as shown? Assume that the Y axis is exactly in the middle of the composite body. A. M L? B. M L? c. M L² D. ĮML?

6. Y is that? Consider the following composite body as shown. The composite body is made up of uniform rods each of mass M and length L. The moment of inertia of each rod through its center of mass and perpendicular to its length is Iem = ML². What is the moment of inertia of the composite object when it is allowed to rotate about the Y axis as shown? Assume that the Y axis is exactly in the middle of the composite body. A. M L? B. M L? c. M L² D. ĮML?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotation Of A Rigid Object About A Fixed Axis

Section: Chapter Questions

Problem 10.11OQ: A solid aluminum sphere of radius R has moment of inertia I about an axis through its center. Will...

See similar textbooks

Similar questions

A baseball catcher extends his arm straight up to catch a fast ball with a speed of 40 m/s. The baseball is 0.145 kg and the catcher’s arm length is 0.5 m and mass 4.0 kg. (a) What is the angular velocity of the arm immediately after catching the ball as measured from the arm socket? (b) What is the torque applied if the catcher stops the rotation of his arm 0.3 s after catching the ball?
A solid aluminum sphere of radius R has moment of inertia I about an axis through its center. Will the moment of inertia about a central axis of a solid aluminum sphere of radius 2Rbe (a) 2I, (b) 4I, (c) 8I. (d) 16I. or (e) 32I?
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?
Calculate the moment of inertia of a skater given the following information. (a) The 60.0-kg skater is approximated as a cylinder that has a 0.110-m radius. (b) The skater with arms extended is approximately a cylinder that is 52.5 kg, has a 0.110-m radius, and has two 0.900-m-long arms which are 3.75 kg each and extend straight out from the cylinder like rods rotated about their ends.
For a classroom demonstration, a student sits on a piano stool holding a sizable mass in each hand. Initially, the studentholds his arms outstretched and spins about the axis of the stool with an angular speed of 3.72 rad>s. The moment of inertiain this case is 5.33 kg # m2. While still spinning, the student pulls his arms in to his chest, reducing the moment of inertiato 1.60 kg # m2. (a) What is the student’s angular speed now? (b) Find the initial and final angular momenta of the student.
A space station shapedlike a giant wheel hasa radius of 100 m anda moment of inertia of5.00 x 108 kg ? m2. A crewof 150 lives on the rim,and the station is rotatingso that the crew experiencesan apparent accelerationof 1g (Fig. P8.72).When 100 people moveto the center of the stationfor a union meeting, the angular speed changes. Whatapparent acceleration is experienced by the managers remainingat the rim? Assume the average mass of a crew member is65.0 kg.
Four objects are held inposition at the corners ofa rectangle by light rodsas shown in Figure P8.37.Find the moment of inertiaof the system about(a) the x-axis, (b) the y-axis,and (c) an axis throughO and perpendicular tothe page.
A constant torque of 25.0 N ? m is applied to a grindstonewhose moment of inertia is 0.130 kg ? m2. Using energy principlesand neglecting friction, find the angular speed afterthe grindstone has made 15.0 revolutions. Hint: The angular equivalent of Wnet =FΔx = 1/2 mvf 2- 1/2 mvi 2 is Wnet =τ Δ θ =1/2 Iωi2 - 1/2 Iωi2. You should convince yourself that this last relationshipis correct.
A uniform thin rod of mass ?=3.47 kg pivots about an axis through its center and perpendicular to its length. Two small bodies, each of mass ?=0.277 kg, are attached to the ends of the rod. What must the length ? of the rod be so that the moment of inertia of the three-body system with respect to the described axis is ?=0.987 kg·m2 ?
A large grinding wheel in the shape of a solid cylinder ofradius 0.330 m is free to rotate on a frictionless, vertical axle.A constant tangential force of 250. N applied to its edge causesthe wheel to have an angular acceleration of 0.940 rad/s2. (a) What is the moment of inertia of the wheel? (b) What isthe mass of the wheel? (c) If the wheel starts from rest, whatis its angular velocity after 5.00 s have elapsed, assuming theforce is acting during that time?
Figure skater rotating at 5rad/s with arms extended, moment of inertia is 2.25 kg * m^2. The skater pulls her arms in and moment of inertia is 1.80 kg * m^2. What is skaters final angular speed?
(II) (a) What is the angular momentum of a figure skaterspinning at 3.0 rev/s with arms in close to her body,assuming her to be a uniform cylinder with a height of1.5 m, a radius of 15 cm, and a mass of 48 kg? (b) Howmuch torque is required to slow her to a stop in 4.0 s,assuming she does not move her arms?