# Physics

Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell - each has a mass of 4.59 kg and a radius of 0.252 m.

(a) Find the moment of inertia for each object as it rotates about the axes shown in the table above.
hoop____ kg·m2
solid cylinder____ kg·m2
solid sphere____kg·m2
thin, spherical shell_____kg·m2

(b) Suppose each object is rolled down a ramp. Rank the translational speed of each object from highest to lowest.

A)solid cylinder > thin spherical > solid sphere > hoop

B)solid sphere > solid cylinder > thin spherical > hoop

C)hoop > solid cylinder > solid sphere > thin spherical

D)thin spherical > solid sphere > solid cylinder > hoop

(c) Rank the objects' rotational kinetic energies from highest to lowest as the objects roll down the ramp.

A)solid cylinder > thin spherical > solid sphere > hoop

B)hoop > thin spherical > solid cylinder > solid sphere

C)hoop > solid cylinder > solid sphere > thin spherical

D)thin spherical > solid sphere > solid cylinder > hoop

1. 👍
2. 👎
3. 👁
1. I figure it out

1. 👍
2. 👎
2. (a) You should take the time to look these up.
I(hoop) = M R^2
I(solid sphere) = (2/5) M R^2
I(solid cylnder) = (1/2) MR^2
I(spherical shell) = (2/3) MR^2

http://hyperphysics.phy-astr.gsu.edu/HBASE/isph.html

(b) The higher the value of (I/MR^2), the slower it rolls, because more of the potential energy is used up making it spin. You do the ranking

(c) The order will be opposite from (b)

1. 👍
2. 👎

## Similar Questions

1. ### Physics

An green hoop with mass mh = 2.4 kg and radius Rh = 0.14 m hangs from a string that goes over a blue solid disk pulley with mass md = 2.2 kg and radius Rd = 0.1 m. The other end of the string is attached to a massless axel through

2. ### algebera

1) Identify the solid form by the given net. :Triangular Prism :Triangular Pyramid*** :Cone :Triangle 2) Name the solid according to it's description: The figure has two bases that are parallel congruent circles. :Cylinder***

3. ### Math

Name the geometric solid suggested by a file cabinet. A sphere B rectangular prism C pyramid D cylinder

4. ### physics

A uniform solid cylinder of radius R and a thin uniform spherical shell of radius R both roll without slipping. If both objects have the same mass and the same kinetic energy, what is the ratio of the linear speed of the cylinder

1. ### physics (please check work)

Four identical particles, each with mass m, are arranged in the x,y plane like a cross. They are connected by light sticks to form a rigid body. If m=2.0kg and a=1.0 m the rotational inertia of this array about the y axis is:

2. ### Calculus

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 2 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your

3. ### physics

a positive point charge q sits at the center of a hollow spherical shell. The shell, with radius R and negligible thickness, has net charge -2q. find an expression for the for the electric field strength (a) inside the sphere, rR.

4. ### physics

Each of the following objects has a radius of 0.180 m and a mass of 2.65 kg, and each rotates about an axis through its center (as in the table below) with an angular speed of 41.4 rad/s. Find the magnitude of the angular momentum

1. ### Physics Please help!

In each of the following cases, the mass is 7.99 kg and the radius is 7.50 cm. (a) What is the moment of inertia (kg/m2 ) of a solid cylinder rotating about an axis parallel to the symmetry axis but passing through the edge of the

2. ### Algebra

This diagram shows a solid metal cylinder. The cylinder hasbase radius 2x and height 9x. The cylinder is melted down and made into a sphere of radius r Find an expression for in terms of x

3. ### Physics-Gauss' Law, hard

Thank you Damon for answering my first questions fast and accurately. Do you or anybody else know how to do these harder Gauss' Law Problems? 1. A solid metal sphere of radius R has charge +2Q. A hollow spherical shell of radius

4. ### Maths IX

The mass of a solid sphere of metal 5cm in diameter is 6.25 kg. Find the mass of a spherical shell of same metal, the external diameter being 10cm and thickness 1 cm.