Question

A thin, rigid, uniform rod has a mass of 1.40 kg and a length of 2.50...

A thin, rigid, uniform rod has a mass of 1.40 kg and a length of 2.50 m. (a) Find the moment of inertia of the rod relative to an axis that is perpendicular to the rod at one end. (b) Suppose all the mass of the rod were located at a single point. Determine the perpendicular distance of this point from the axis in part (a), such that this point particle has the same moment of inertia as the rod does. This distance is called the radius of gyration of the rod.

Homework Answers

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
An object is formed by attaching a uniform, thin rod with a mass of mr =...
An object is formed by attaching a uniform, thin rod with a mass of mr = 7.22 kg and length L = 5.52 m to a uniform sphere with mass ms = 36.1 kg and radius R = 1.38 m. Note ms = 5mr and L = 4R. 1)What is the moment of inertia of the object about an axis at the left end of the rod? 2)If the object is fixed at the left end of the rod, what...
A thin uniform rod has a length of 0.400 m and is rotating in a circle...
A thin uniform rod has a length of 0.400 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.34 rad/s and a moment of inertia about the axis of 2.50×10−3 kg⋅m2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of...
A thin uniform rod has a length of 0.430 m and is rotating in a circle...
A thin uniform rod has a length of 0.430 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.32 rad/s and a moment of inertia about the axis of 3.20×10−3 kg⋅m2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of...
A thin uniform rod has a length of 0.490 m and is rotating in a circle...
A thin uniform rod has a length of 0.490 m and is rotating in a circle on a frictionless table. The axis of rotation is perpendicular to the length of the rod at one end and is stationary. The rod has an angular velocity of 0.37 rad/s and a moment of inertia about the axis of 3.50×10−3 kg⋅m2 . A bug initially standing on the rod at the axis of rotation decides to crawl out to the other end of...
A thin, 1-dimensional, uniform rod of mass M and length L lies on the x axis...
A thin, 1-dimensional, uniform rod of mass M and length L lies on the x axis with one end at the origin. (a) Find its moment of inertia tensor about the origin. (b) Find the moment of inertia tensor if the rod’s center is located at the origin.
A thin, uniform rod is bent into a square of side length a. If the total...
A thin, uniform rod is bent into a square of side length a. If the total mass of the rod is M, find the moment of inertia about an axis through the center and perpendicular to the plane formed by the interior of the square. Thanks!
Uniform rod with length 6.6 m and mass 9.2 kg is rotating about an axis passing...
Uniform rod with length 6.6 m and mass 9.2 kg is rotating about an axis passing distance 4 m from one of its ends. The moment of inertia of the rod about this axis (in kg m2) is
A solid circular disk has a mass of 1.2 kg and a radius of 0.19 m....
A solid circular disk has a mass of 1.2 kg and a radius of 0.19 m. Each of three identical thin rods has a mass of 0.13 kg. The rods are attached perpendicularly to the plane of the disk at its outer edge to form a three-legged stool (see the drawing). Find the moment of inertia of the stool with respect to an axis that is perpendicular to the plane of the disk at its center. (Hint: When considering the...
A thin rod has a length of 0.380 m and rotates in a circle on a...
A thin rod has a length of 0.380 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.428 rad/s and a moment of inertia of 1.31 x 10 −3 kg·m 2 . A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5.00 x...
A thin rod has a length of 0.380 m and rotates in a circle on a...
A thin rod has a length of 0.380 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.428 rad/s and a moment of inertia of 1.31 x 10 −3 kg·m 2 . A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5.00 x...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT