Question

A string is wrapped around a uniform disk of mass M = 2.2 kg and radius R = 0.1 m. (Recall that the moment of inertia of a uniform disk is (1/2) MR2.)

A string is wrapped around a uniform disk of mass M = 2.2 kg and radius R = 0.1 m. (Recall that the moment of inertia of a uniform disk is (1/2) MR2.) Attached to the disk are four low-mass rods of radius b = 0.13 m, each with a small mass m = 0.7 kg at the end. The device is initially at rest on a nearly frictionless surface. Then you pull the string with a constant force F = 22 N. At the instant when the center of the disk has moved a distance d = 0.044 m, a length w = 0.038 m of string has unwound off the disk. 

image.png

(a) At this instant, what is the speed of the center of the apparatus? 

(b) At this instant, what is the angular speed of the apparatus? 

(c) You keep pulling with constant force 22 N for an additional 0.038 s. Now what is the angular speed of the apparatus? 

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A string is wrapped around a uniform disk of mass M = 2.2 kg and radius R = 0.1 m. (Recall that the moment of inertia of a uniform disk is (1/2) MR2.)
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A string is wrapped around a disk of mass m = 1.8 kg and radius R...

    A string is wrapped around a disk of mass m = 1.8 kg and radius R = 0.10 m. Starting from rest, you pull the string with a constant force F = 7 N along a nearly frictionless surface. At the instant when the center of the disk has moved a distance x = 0.14 m, your hand has moved a distance of d = 0.33 m. Two pucks, one pulled from the center, the other by a string wrapped...

  • A rod of length L and negligible mass is attached to a uniform disk of mass M and radius R (see figure below).

    A rod of length L and negligible mass is attached to a uniform disk of mass M and radius R (see figure below). A string is wrapped around the disk, and you pull on the string with a constant force F. Two small balls each of mass m slide along the rod with negligible friction. The apparatus starts from rest, and when the center of the disk has moved a distance d, a length of strings has come off the...

  • A uniform disk of radius 0.2 m and mass m = 16 kg is mounted on...

    A uniform disk of radius 0.2 m and mass m = 16 kg is mounted on a nearly frictionless axle. A string is wrapped tightly around the disk and pulled with a constant force of F = 1 N. After a while the disk has reached an angular speed of ω0 = 2.3 rad/s. What is its angular speed 1.5 s later?

  • A rope is wrapped around the rim of a large uniform solid disk of mass 305...

    A rope is wrapped around the rim of a large uniform solid disk of mass 305 kg and radius 2.10 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest, what is its angular speed in rev/s at the end of 2.65 s?

  • A rope is wrapped around the rim of a large uniform solid disk of mass 225...

    A rope is wrapped around the rim of a large uniform solid disk of mass 225 kg and radius 2.50 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest, what is its angular speed in rev/s at the end of 1.65 s?

  • A rope is wrapped around the rim of a large uniform solid disk of mass 295...

    A rope is wrapped around the rim of a large uniform solid disk of mass 295 kg and radius 2.40 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest what is its angular speed in rev/s at the end of 1.95 s?

  • A rope is wrapped around the rim of a large uniform solid disk of mass 315...

    A rope is wrapped around the rim of a large uniform solid disk of mass 315 kg and radius 1.60 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest what is its angular speed in rev/s at the end of 2.95 s?

  • A rope is wrapped around the rim of a large uniform solid disk of mass 315...

    A rope is wrapped around the rim of a large uniform solid disk of mass 315 kg and radius 2.40 m. The horizontal disk is made to rotate by pulling on the rope with a constant force of 195 N. If the disk starts from rest what is its angular speed in rev/s at the end of 1.75 s?

  • Problem: A pulley, consists of a disk of radius R=0.2 m and mass M= 50 kg...

    Problem: A pulley, consists of a disk of radius R=0.2 m and mass M= 50 kg is mounted on a nearly frictionless axle. A string is wrapped lightly around the pulley, and you pull on the string with a constant force, F = 100 N. If the pulley starts from rest, what is the angular speed at a time At = 1 s later? Assume that the string does not slip on the pulley. Note: Moment of inertia of a...

  • String is wrapped around an object of mass M= 0.5 kg and moment of inertia I= 0.02 kg·m2.

    String is wrapped around an object of mass M= 0.5 kg and moment of inertia I= 0.02 kg·m2. You pull the string with your hand straight up with some constant force F such that the center of the object does not move up or down, but the object spins faster and faster (see the figure). This is like a yo-yo; nothing but the vertical string touches the object. When your hand is a height y0= 0.24 m above the floor,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT