Question

A uniform circular platform of mass 100 kg and radius 3.0 m is mounted on a...

A uniform circular platform of mass 100 kg and radius 3.0 m is mounted on a frictionless vertical axle and is initially stationary. A girl of mass 40 kg stands on the rim of the platform. She begins to walk along the rim at a speed of 1.5 m/s relative to the ground in clockwise direction. What is the resulting angular velocity of the platform.

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

It can be solved using conservation of angular momentum.

About the center of disc, angular momentum of girl is

In cylindrical polar coordinated.

therefore

The angular momentum of platform is

as initial angular momentum was 0

final must be 0.

so

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
A flat uniform circular disk (radius = 3.00 m, mass = 1.00 ✕ 102 kg) is...
A flat uniform circular disk (radius = 3.00 m, mass = 1.00 ✕ 102 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 50.0 kg person, standing 1.75 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 2.60 m/s relative to the ground. Find the resulting angular speed of the disk (in...
A flat uniform circular disk (radius = 5.44 m, mass = 320 kg) is initially stationary....
A flat uniform circular disk (radius = 5.44 m, mass = 320 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 66.4-kg person, standing 2.40 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 2.97 m/s relative to the ground. Find the magnitude of the resulting angular speed (in rad/s) of the...
A girl of mass M stands at the rim of a platform of radius R and...
A girl of mass M stands at the rim of a platform of radius R and rotational inertia I=aMR^2 (a is a fraction). Initially, both the girl and the platform are at rest, She throws a rock of mass m=M/3 horizontally in a direction that is tangent to the outer edge of the platform. The speed of the rock, relative to the ground, is v. If the velocity of the girl relative to the ground after she throws the rock...
A Texas cockroach of mass 0.177 kg runs counterclockwise around the rim of a lazy Susan...
A Texas cockroach of mass 0.177 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 14.1 cm, rotational inertia 5.88 x 10-3 kg·m2, and frictionless bearings. The cockroach's speed (relative to the ground) is 2.73 m/s, and the lazy Susan turns clockwise with angular velocity ω0 = 3.38 rad/s. The cockroach finds a bread crumb on the rim and, of course, stops. (a) What is the angular...
A Texas cockroach of mass 0.108 kg runs counterclockwise around the rim of a lazy Susan...
A Texas cockroach of mass 0.108 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 12.4 cm, rotational inertia 4.19 x 10-3 kg·m2, and frictionless bearings. The cockroach's speed (relative to the ground) is 2.81 m/s, and the lazy Susan turns clockwise with angular velocity ω0 = 3.56 rad/s. The cockroach finds a bread crumb on the rim and, of course, stops. (a) What is the angular...
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about...
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a mass of 127.0 kg, a radius of 2.00 m, and a rotational inertia of 5.08×102 kgm2 about the axis of rotation. A student of mass 66.0 kg walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.31 rad/s when the student...
A large horizontal circular platform (M=91 kg, r=3.99 m) rotates about a frictionless vertical axle. A...
A large horizontal circular platform (M=91 kg, r=3.99 m) rotates about a frictionless vertical axle. A student (m=77.93 kg) walks slowly from the rim of the platform toward the center. The angular velocity ω of the system is 3.8 rad/s when the student is at the rim. Find the moment of inertia of platform through the center with respect to the z-axis. Find the moment of inertia of the student about the center axis (while standing at the rim) of...
A large horizontal circular platform (M=105.1 kg, r=3.54 m) rotates about a frictionless vertical axle. A...
A large horizontal circular platform (M=105.1 kg, r=3.54 m) rotates about a frictionless vertical axle. A student (m=54.08 kg) walks slowly from the rim of the platform toward the center. The angular velocity ω of the system is 2.24 rad/s when the student is at the rim. Find the moment of inertia of platform through the center with respect to the z-axis. Find the moment of inertia of the student about the center axis (while standing at the rim) of...
A large horizontal circular platform (M=97.3 kg, r=4.71 m) rotates about a frictionless vertical axle. A...
A large horizontal circular platform (M=97.3 kg, r=4.71 m) rotates about a frictionless vertical axle. A student (m=78.94 kg) walks slowly from the rim of the platform toward the center. The angular velocity ω of the system is 2.56 rad/s when the student is at the rim. A. Find the moment of inertia of platform through the center with respect to the z-axis. answer = 1079.26 kg*m^2 B. Find the moment of inertia of the student about the center axis...
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about...
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 1.80 m and a rotational inertia of 347 kg·m2 about the axis of rotation. A 58.4 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.49 rad/s when the student starts at the rim, what is the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT