Question

A sphere of solid aluminum (r = 2.7 g/cm3 ) has a radius R, a mass...

A sphere of solid aluminum (r = 2.7 g/cm3 ) has a radius R, a mass M, and a moment of inertia I0 about its center. A second sphere of solid aluminum has a different mass M’ with a radius 2R. What is the moment of inertia of the second sphere about its center I in terms of the first sphere I0? Mass should not appear in your answer (4 points).

Homework Answers

Answer #1

The answer is in the images. Page number is mentioned at right top.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A solid sphere of mass, M, and radius, R, is rigidly attached to a strong thin...
A solid sphere of mass, M, and radius, R, is rigidly attached to a strong thin rod of radius r that passes through the sphere at a distance of R/2. A string wrapped around the rod pulls with tension T. The rod's moment of inertia is negligible. (a) Find an expression for the sphere's angular acceleration. (b) If the sphere has a mass of 5.5 kg and a radius of 25 cm, how much tension must be applied to the...
You have a solid metal cylinder of mass M, with a radius of R.  What is its...
You have a solid metal cylinder of mass M, with a radius of R.  What is its moment of inertia? (1/2)MR2 MR2 (2/3)MR2 (2/5)MR2 You have a 5 kg solid metal cylinder with a radius of 2.5 cm.  What is its moment of inertia? 0.00313 kg m2 0.00125 kg m2 0.00208 kg m2 0.00156 kg m2 You have a solid metal sphere of mass M, with a radius of R.  What is its moment of inertia? (2/3)MR2 (2/5)MR2 (1/2)MR2 MR2 You have a...
Consider a solid sphere and a solid disk with the same radius and the same mass....
Consider a solid sphere and a solid disk with the same radius and the same mass. Explain why the solid disk has a greater moment of inertia than the solid sphere, even though it has the same overall mass and radius.
A neutral solid conducting sphere of radius R has charge deposited in it and is sitting...
A neutral solid conducting sphere of radius R has charge deposited in it and is sitting at the center of a conducting shell of inner radius 2R and outer radius 3R. After the conductor reaches equilibrium: What is E field the for R<r<2R What is the potential at r=R What is the charge density at r=2R, at r=R and at r=3R Please explain each question as I do not understand it clearly. Thank you
Find the moment of inertia of a uniform hollow sphere of mass M, inner radius r,...
Find the moment of inertia of a uniform hollow sphere of mass M, inner radius r, and outer radius R > r, about an axis through the center of mass. Consider your answer for the cases r → 0 and r → R. Does the result reduce correctly? Explain.
A solid sphere of uniform density has a mass of 6.1 × 104 kg and a...
A solid sphere of uniform density has a mass of 6.1 × 104 kg and a radius of 2.7 m. What is the magnitude of the gravitational force due to the sphere on a particle of mass 2.0 kg located at a distance of (a) 5.9 m and (b) 2.1 m from the center of the sphere? (c) Write a general expression for the magnitude of the gravitational force on the particle at a distance r ? 2.7 m from...
Two spheres have the same radius (R) and same mass (M). One sphere is solid, and...
Two spheres have the same radius (R) and same mass (M). One sphere is solid, and the other is hollow and made of a denser material. They start from rest at the top of an incline (rolls without slipping). (a) Which has greater moment of inertia? (b) Which has the greater rotational kinetic energy? (c) Which has the greater total kinetic energy at the bottom? (d) Which has the greater speed at the bottom? (e) Given I solid shpere =(2/5)...
A solid insulating sphere has total charge Q and radius R. The sphere's charge is distributed...
A solid insulating sphere has total charge Q and radius R. The sphere's charge is distributed uniformly throughout its volume. Let r be the radial distance measured from the center of the sphere. If E = 440 N/C at r=R/2, what is E at r=2R? Express your answer with the appropriate units.
A solid conducting sphere with radius R is concentric with a very thin insulating shell of...
A solid conducting sphere with radius R is concentric with a very thin insulating shell of radius 2R. Sphere carries charge Q on its surface. Same amount of charge is present on the surface of shell also. Charge is distributed uniformly over the insulating shell. Find the electric Öeld for the regions: (i) 0 < r < R, (ii) R < r < 2R, and (iii) r > 2R.
2) A solid sphere with mass 2kg and radius 0.2 meters is rotating clockwise about its...
2) A solid sphere with mass 2kg and radius 0.2 meters is rotating clockwise about its center with ωi =5 rad/s. a) Find its Moment of Inertia. b) We want to double its angular speed in 3 full turns of the sphere. Find its acceleration.c) A constant force is acting on the edge with 135 degrees angle. Find the Force needed to for this acceleration