Question

The rotational inertia I of any given body of mass M about any given axis is...

The rotational inertia I of any given body of mass M about any given axis is equal to the rotational inertia of an equivalent hoop about that axis, if the hoop has the same mass M and a radius k given by

The radius k of the equivalent hoop is called the radius of gyration of the given body. Using this formula, find the radius of gyration of (a) a cylinder of radius 3.72 m, (b) a thin spherical shell of radius 3.72 m, and (c) a solid sphere of radius 3.72 m, all rotating about their central axes.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Four objects—a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell—each have a...
Four objects—a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell—each have a mass of 4.06 kg and a radius of 0.253 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in this table. 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...
Compute the rotational inertia for a spherical shell rotating about its diameter. The mass of the...
Compute the rotational inertia for a spherical shell rotating about its diameter. The mass of the shell is 10 kg and the shell has an inner radius of 5 cm and an outer radius of 15 cm
Calculate the rotational inertia of a meter stick with mass m=0.56 kg about an axis perpendicular...
Calculate the rotational inertia of a meter stick with mass m=0.56 kg about an axis perpendicular to set stick and located at the 20 cm mark. (Treat the stick as a thin rod).
Find the moment of inertia of a uniformly dense hollow cylinder rotating about the y- axis....
Find the moment of inertia of a uniformly dense hollow cylinder rotating about the y- axis. [Clearly define all model elements and show all work for full credit] Check your answer with the following limiting conditions: - When a0 (solid disk/cylinder) - When a ≈ b (thin hoop/cylinder)
Each of the following objects has a radius of 0.209 m and a mass of 2.31...
Each of the following objects has a radius of 0.209 m and a mass of 2.31 kg, and each rotates about an axis through its center (as in this table) with an angular speed of 36.0 rad/s. Find the magnitude of the angular momentum of each object. (a) a hoop kg · m2/s (b) a solid cylinder kg · m2/s (c) a solid sphere kg · m2/s (d) a hollow spherical shell kg · m2/s
Calculate the rotational inertia of a meter stick, with mass 0.633 kg, about an axis perpendicular...
Calculate the rotational inertia of a meter stick, with mass 0.633 kg, about an axis perpendicular to the stick and located at the 27.4 cm mark. (Treat the stick as a thin rod.)
Consider the objects below, all of mass M and radius R (where appropriate). They are placed...
Consider the objects below, all of mass M and radius R (where appropriate). They are placed on an incline plane at the same height. Which object will roll down the incline and reach the bottom with the greatest total energy? a) A solid sphere b) A thin spherical shell c) A solid cylinder of length L d) A cylindrical shell of length L e) All will reach bottom with same energy Group of answer choices A solid sphere A thin...
A cylinder of radius R = 50 cm has rotational inertia I. It is rotating with...
A cylinder of radius R = 50 cm has rotational inertia I. It is rotating with angular velocity w = 2 rad / s. A bullet of mass m = 160 grams and speed v = 1500 m / s hits the cylinder at a distance 40 cm from its axis and remains there. Both the cylinder and the bullet stop after collision. Find I in units of kg - m2.
A hoop (rotational inertia I=MR2 ) of mass M = 1.6 kg and radius R =...
A hoop (rotational inertia I=MR2 ) of mass M = 1.6 kg and radius R = 50 cm is rolling on a flat surface at a center-of-mass speed of v = 1.2 m/s. Part A The total kinetic energy of the rolling hoop can be expressed as The total kinetic energy of the rolling hoop can be expressed as 34Mv2 12Mv2 Mv2 56Mv2 32Mv2 Request Answer Part B If an external force does 16 J of a positive work on...
Calculate the rotational inertia about the x-axis of a solid of revolution y = x^2 about...
Calculate the rotational inertia about the x-axis of a solid of revolution y = x^2 about the y-axis with a height of 4 m. Assume the solid is made of aluminum (? = 2.7 g/cm3)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT