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 around the edge. (a) At this instant, what is the speed of the center of mass of the disk? vcm = m/s (b) At this instant, how much rotational kinetic energy does the disk have relative to its center of mass? Krot = J
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A string is wrapped around a disk of mass m = 1.8 kg and radius
R...
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...
F10.5 N 12.0 cm F-10.5 N 31.0 cm Figure 1: The diagram for problem 3 showing a disk's movement with a string wrapp...
F10.5 N 12.0 cm F-10.5 N 31.0 cm Figure 1: The diagram for problem 3 showing a disk's movement with a string wrapped around it. (3) A string is wrapped around a disk of mass 2.60 kg. Starting from rest, you pull the string with a constant force of 10.5 N along a mearly frictionless surface. At the instant when the center of mass of the disk has moved a distance of 0.120 m, your hand has moved a distance...
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?
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...
A solid disk with mass M (1.00 kg) and radius R (0.200 m) is sitting on...
A solid disk with mass M (1.00 kg)
and radius R (0.200 m) is sitting on a frictionless surface. We
analyzed the situation at left below, where a force F (2.00 N) is
applied for four seconds, by a string that has been wrapped around
the outer surface of a cylindrical disk.
Two students are debating the
following question. ‘The same force is applied for the same amount
of time, but this time by a string attached to the edge...
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?
A solid, 3.00-kg disk has a string wrapped around its circumference as shown below. The string...
A solid, 3.00-kg disk has a string
wrapped around its circumference as shown below. The string is
attached to the ceiling. When the disk is released, it accelerates
downward as the string unrolls. The disk has a radius of 20.0 cm.
What will be the linear velocity of its center of mass after it
falls through a distance of 3.00 meters? (Note: not all the
information given is needed.) Ignore friction.
Ans: 6.26 m/s
(c) A string is wrapped many times around a frictionless pulley, which is a uniform disk...
(c) A string is wrapped many times around a frictionless pulley, which is a uniform disk of mass M. The string is connected to a hanging mass of massm. What is the speed of the hanging mass after it falls a distance h from rest? (d) A ceiling fan accelerates uniformly at a rate of 3rad/s^2 from rest. How long does it take for the acceleration of a point 1.2 m from the center to have a magnitude of 6m/s^2
A string is wrapped around a pulley of mass M, radius R, and moment of inertial....
A string is wrapped around a pulley of mass M, radius R, and moment of inertial. The string is attached to a mass m; the mass m is then released. Treat the pulley as if it were a uniform disk (a) Find the acceleration of the mass m as it falls. (b) How would your answer to part (a) above change if we ignore the motion of the pulley (effectively setting the mass M -0)? m
F10.5 N 12.0 cm F-10.5 N 31.0 cm Figure 1: The diagram for problem 3 showing a disk's movement with a string wrapped around it. (3) A string is wrapped around a disk of mass 2.60 kg. Starting from rest, you pull the string with a constant force of 10.5 N along a mearly frictionless surface. At the instant when the center of mass of the disk has moved a distance of 0.120 m, your hand has moved a distance...
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...
A solid disk with mass M (1.00 kg)
and radius R (0.200 m) is sitting on a frictionless surface. We
analyzed the situation at left below, where a force F (2.00 N) is
applied for four seconds, by a string that has been wrapped around
the outer surface of a cylindrical disk.
Two students are debating the
following question. ‘The same force is applied for the same amount
of time, but this time by a string attached to the edge...
A solid, 3.00-kg disk has a string
wrapped around its circumference as shown below. The string is
attached to the ceiling. When the disk is released, it accelerates
downward as the string unrolls. The disk has a radius of 20.0 cm.
What will be the linear velocity of its center of mass after it
falls through a distance of 3.00 meters? (Note: not all the
information given is needed.) Ignore friction.
Ans: 6.26 m/s
A string is wrapped around a pulley of mass M, radius R, and moment of inertial. The string is attached to a mass m; the mass m is then released. Treat the pulley as if it were a uniform disk (a) Find the acceleration of the mass m as it falls. (b) How would your answer to part (a) above change if we ignore the motion of the pulley (effectively setting the mass M -0)? m
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