A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below.

Question

Question

A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below.

A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below. (Submit a file with a maximum size of 1 MB.)

(a) Show that the tension in the string is one third of the weight of the disk.

(b) Show that the magnitude of the acceleration of the center of mass is 2g/3.

(c) Show that the speed of the center of mass is (4gh/3)^1/2 after the disk has descended through distance h.

(d) Verify your answer to (c) using the energy approach.

science physics

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Add a comment

Answer 2

Similar Homework Help Questions

A string is wrapped around a uniform cylinder of mass M and radius R as shown...

A string is wrapped around a uniform cylinder of mass M and radius R as shown in figure 4. The cylinder is released from rest with the string vertical and its top end tied to a fixed bar. a. Show that the tension in the string is one-third the weight of the cylinder. b. Show that the magnitude of the acceleration of the center of gravity is 2g/3. c. Show that the speed of the center of gravity is (4gl/3)^1/2...
Question 7(a). A string is wound around a uniform disc of mass M and radius R....

Question 7(a). A string is wound around a uniform disc of mass M and radius R. The dise is released from rest with the string vertical and its top end tied to a fixed bar (Fig.4). Find 6 the tension in the string. (ii) the magnitude of acceleration of the centre of mass. (ii) the speed of the centre of mass of the disc after it has descended through the distance h. 2 121 121 Figure 4 Question 7(b). A...
please show steps clearly please also use both forms of newtons 2nd Law to relate both...

please show steps clearly please also use both forms of newtons 2nd Law to relate both forms of newtons 2nd Law using a=R(alpha) both a and alpha must be expressed in a way that makes their magnitudes positive -use kinematics for part c -include an energy diagram when confirming with the energy approach and assume there is no work done by external forces for the disk-string-earth system in part d rotatioll Is LCIU. DU solving a transcendental equation numerically. 41....

A yo-yo: A simple model of the yo-yo toy is below. A string is wound around...

A yo-yo: A simple model of the yo-yo toy is below. A string is wound around a uniform disk of radius R=0.3 m and mass M=2kg. The disk is released from rest when the string is vertical and its top end is tied to a fixed bar as in the figure below. Find the torque of the disk around THE CONTACT POINT. Find the speed of the yo-yo center of mass once it went down 2 meters.
A disk of uniform mass M and radius R (Icm = 1 / 2MR2) is tied...

A disk of uniform mass M and radius R (Icm = 1 / 2MR2) is tied to a rope that in turn is tied to the ceiling, as shown in figure 2. The mass is released from rest and its center of mass low with a constant acceleration of (Assume that there is friction between the string and the disc and therefore it does not slip.):
A string is wound around a disk of mass M = 215 kg and a radius...

A string is wound around a disk of mass M = 215 kg and a radius of R = 0.310 m. The disk is free to rotate about its center by a frictionless pin. The other end of the string is attached to a mass m = 87.0 kg. The mass is released from rest and travels downward causing the cylinder to rotate. How many revolutions did the disk make 6 seconds after the release of mass m from rest?

2-a rope is wrapped around a solid disk of radius R = 2.5 m and a...

2-a rope is wrapped around a solid disk of radius R = 2.5 m and a mass of 1.5 kg . The disk rotates about its own axis. A bucket water has been tied to the other end of the rope as show in the figure. by the rotating disk. The mass of the bucket is 2.0 kg. SHOW FORMULAS AND COMPLETE SOLUTION UNDER EACH PART OF THE PROBLEM. a) calculate the moment of inertia/ Rotational inertia of the disk?...
A solid disk of mass M and radius R is released from rest at a vertical...

A solid disk of mass M and radius R is released from rest at a vertical height h from the ground on an inclined plane having an angle of inclination ? as shown in the figure below. The disk will roll on the inclined plane. Find the speed of the disk when it reaches the bottom of the inclined plane.
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...

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 string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below.

Homework Answers

Add Answer to:
A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below.

Post as a guest

Earn Coins

A string is wrapped around a uniform cylinder of mass M and radius R as shown...

Question 7(a). A string is wound around a uniform disc of mass M and radius R....

please show steps clearly please also use both forms of newtons 2nd Law to relate both...

A yo-yo: A simple model of the yo-yo toy is below. A string is wound around...

A disk of uniform mass M and radius R (Icm = 1 / 2MR2) is tied...

A string is wound around a disk of mass M = 215 kg and a radius...

2-a rope is wrapped around a solid disk of radius R = 2.5 m and a...

A solid disk of mass M and radius R is released from rest at a vertical...

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 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 wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below.

Homework Answers

Add Answer to: A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below.

Post as a guest

Earn Coins

Add Answer to:
A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. See the figure below.