Question

A mass of 1.9 kg is located at the end of a very light and rigid...

A mass of 1.9 kg is located at the end of a very light and rigid rod 44 cm in length. The rod is rotating about an axis at its opposite end with a rotational velocity of 5 rad/s.

(a) What is the rotational inertia of the system?


(b) What is the angular momentum of the system?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Mass of the object = M = 1.9 kg

Length of the rod = L = 44 cm = 0.44 m

The object is at one end of the rod and the axis is at the other end of the rod therefore the object is at a distance of 0.44 m from the axis.

Rotational inertia fo the system = I

I = 0.3678 kg.m2

Rotational velocity of the object = = 5 rad/s

Angular momentum of the system = L

L = I

L = (0.3678)(5)

L = 1.84 kg.m2/s

a) Rotational inertia of the system = 0.3678 kg.m2

b) Angular momentum of the system = 1.84 kg.m2/s

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
Two 0.2-kg masses are located at either end of a 1-m long very light and rigid...
Two 0.2-kg masses are located at either end of a 1-m long very light and rigid rod, as shown. a) What is the rotational inertia of this system about an axis through the center of the rod? b) What is the rotational acceleration of this system if a net torque of 10 N∙m is applied to it?
A 1.50-kg rod 1.00m long has a 2.00-kg mass attached to one end and a 4.00-kg...
A 1.50-kg rod 1.00m long has a 2.00-kg mass attached to one end and a 4.00-kg mass attached to the other. The system rotates at a constant angular speed about a fixed axis perpendicular to the rod that passes through the rod 40.0 cm from the end with the 4.00-kg mass attached. The angular speed of the system is 150 rad/s. a) What is the total moment of inertia of this system (including the rod and two masses) about the...
A solid disk of mass m1 = 9.8 kg and radius R = 0.25 m is...
A solid disk of mass m1 = 9.8 kg and radius R = 0.25 m is rotating with a constant angular velocity of ω = 30 rad/s. A thin rectangular rod with mass m2 = 3.9 kg and length L = 2R = 0.5 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1)What is the initial angular momentum of the rod and disk system? 2)What is the...
A solid disk of mass m1 = 9.5 kg and radius R = 0.19 m is...
A solid disk of mass m1 = 9.5 kg and radius R = 0.19 m is rotating with a constant angular velocity of ω = 30 rad/s. A thin rectangular rod with mass m2 = 3.3 kg and length L = 2R = 0.38 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1) What is the initial angular momentum of the rod and disk system? 2) What...
A solid disk of mass m1 = 9.3 kg and radius R = 0.21 m is...
A solid disk of mass m1 = 9.3 kg and radius R = 0.21 m is rotating with a constant angular velocity of ω = 30 rad/s. A thin rectangular rod with mass m2 = 3.8 kg and length L = 2R = 0.42 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1) What is the initial angular momentum of the rod and disk system? 2) What...
A 8.20 g bullet is fired into a 0.900 kg block attached to the end of...
A 8.20 g bullet is fired into a 0.900 kg block attached to the end of a 0.402 m nonuniform rod of mass 0.899 kg. The block-rod-bullet system then rotates in the plane of the figure, about a fixed axis at A. The rotational inertia of the rod alone about A is 0.0740 kg·m2. Treat the block as a particle. (a) What then is the rotational inertia of the block-rod-bullet system about point A? (b) If the angular speed of...
(a) A light, rigid rod of length ℓ = 1.00 m joins two particles, with masses...
(a) A light, rigid rod of length ℓ = 1.00 m joins two particles, with masses m1 = 4.00 kg and m2 = 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 4.80 m/s. (Enter the magnitude to at least two decimal places in kg · m2/s.) Two masses...
Two children, each with mass m = 24.0 kg, sit on opposite ends of a narrow...
Two children, each with mass m = 24.0 kg, sit on opposite ends of a narrow board with length L = 4.3 m, width W = 0.22 m, and mass M = 6.6 kg. The board is pivoted at its center and is free to rotate in a horizontal circle without friction. A) What is the rotational inertia of the board plus the children about a vertical axis through the center of the board? B) What is the magnitude of...
A uniform disk of mass Mdisk = 4 kg and radius R = 0.24 mhas a...
A uniform disk of mass Mdisk = 4 kg and radius R = 0.24 mhas a small block of mass mblock = 2.2 kg on its rim. It rotates about an axis a distance d = 0.16 m from its center intersecting the disk along the radius on which the block is situated. What is the moment of inertia of the block about the rotation axis? What is the moment of inertia of the disk about the rotation axis? When...
A small object with a mass of 1.62 kg is moving with a speed of 290...
A small object with a mass of 1.62 kg is moving with a speed of 290 m/s (with respect to the ground) when it collides with a rod with a mass of 11.99 kg and a length of L m. The rod is initially at rest, in a vertical position, and pivots about an axis going through its center of mass which is located exactly halfway along the rod. The object imbeds itself in the rod at a distance L/4...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT