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?
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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 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 3-kg mass is attached to a light, thin string that is wound around a uniform...
A 3-kg mass is attached to a light, thin string that is wound around a uniform cylinder with a mass of 4 kg and a radius of 4 cm. The 3-kg mass is released from rest and the cylinder turns without friction as the 3-kg mass falls. a) What is the speed of the 3-kg mass after it falls 40 cm? the angular speed of the cylinder after the mass falls 40 cm?
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 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...
A cylinder of radius 0.40 m and a mass of 12 kg has a string wound around it. The string is pulled off perpendicular to the radius, so that it doesn't slip while spooling off the cylinder, ma...
A cylinder of radius 0.40 m and a mass of 12 kg has a string wound around it. The string is pulled off perpendicular to the radius, so that it doesn't slip while spooling off the cylinder, making the cylinder rotate around an axis through its center with a rotational acceleration of 0.60 rad/s. (The formula for the moment of rotational inertia for the cylinder in this situation is I-% mr, where "m" is the mass and "t" is the...
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
2. A uniform, solid cylinder with mass M and radius 2R is on an incline plane with angle of inclination of 6. A str...
2. A uniform, solid cylinder with mass M and radius 2R is on an incline plane with angle of inclination of 6. A string is attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder can rotate about the axle. The string runs over a disk-shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the...
A light string is wrapped around the outside of a 2.0-kg-wheel whose radius is 75 cm....
A light string is wrapped
around the outside of a 2.0-kg-wheel whose radius is 75 cm. The
wheel has a frictionless axel that allows it to rotate but prevents
its center of mass from moving. Assume the moment of inertia of the
wheel is the same as that of a point particle of equal mass at the
same radius from the axel. The string is then attached to a 3.0-kg
hanging mass that is released from rest. While the mass...
A uniform, solid cylinder with mass 5 and radius 2*1.8 rests on a horizontal table. A...
A uniform, solid cylinder with mass 5 and radius 2*1.8 rests on
a horizontal table. A string is attached by a yoke to a
frictionless axle through the center of the cylinder such that the
cylinder can rotate about the axle at the center. The string runs
over a disk-shaped pulley with mass 5 and radius 1.8 that is
mounted on a frictionless axle through its center. A block of mass
5 is suspended from the free end of the...
In the figure below, a rope is wound around a horizontal disk (Ma 3.10 kg and...
In the figure below, a rope is wound around a horizontal disk (Ma 3.10 kg and Ra 17.0 cm). passed across a pulley (Ic 50.0 kg cm2 and Re 8.00 cm), and connected to a hanging 4.00 kg mass. Initially, the mass is held in place, and the system is at rest. The mass is then released and descends in response to the force of gravity. The rope does not slip on the pulley or the horizontal disk. Both the...
A 3-kg mass is attached to a light, thin string that is wound around a uniform cylinder with a mass of 4 kg and a radius of 4 cm. The 3-kg mass is released from rest and the cylinder turns without friction as the 3-kg mass falls. a) What is the speed of the 3-kg mass after it falls 40 cm? the angular speed of the cylinder after the mass falls 40 cm?
A cylinder of radius 0.40 m and a mass of 12 kg has a string wound around it. The string is pulled off perpendicular to the radius, so that it doesn't slip while spooling off the cylinder, making the cylinder rotate around an axis through its center with a rotational acceleration of 0.60 rad/s. (The formula for the moment of rotational inertia for the cylinder in this situation is I-% mr, where "m" is the mass and "t" is the...
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
2. A uniform, solid cylinder with mass M and radius 2R is on an incline plane with angle of inclination of 6. A string is attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder can rotate about the axle. The string runs over a disk-shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the...
A light string is wrapped
around the outside of a 2.0-kg-wheel whose radius is 75 cm. The
wheel has a frictionless axel that allows it to rotate but prevents
its center of mass from moving. Assume the moment of inertia of the
wheel is the same as that of a point particle of equal mass at the
same radius from the axel. The string is then attached to a 3.0-kg
hanging mass that is released from rest. While the mass...
A uniform, solid cylinder with mass 5 and radius 2*1.8 rests on
a horizontal table. A string is attached by a yoke to a
frictionless axle through the center of the cylinder such that the
cylinder can rotate about the axle at the center. The string runs
over a disk-shaped pulley with mass 5 and radius 1.8 that is
mounted on a frictionless axle through its center. A block of mass
5 is suspended from the free end of the...
In the figure below, a rope is wound around a horizontal disk (Ma 3.10 kg and Ra 17.0 cm). passed across a pulley (Ic 50.0 kg cm2 and Re 8.00 cm), and connected to a hanging 4.00 kg mass. Initially, the mass is held in place, and the system is at rest. The mass is then released and descends in response to the force of gravity. The rope does not slip on the pulley or the horizontal disk. Both the...
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