A uniform disc of radius 30 cm and mass 12 kg is pivoted so that it...
A uniform disc of radius 30 cm and mass 12 kg is pivoted so that it is free to rotate about an axis through its center. A string wrapped around the disc is pulled with a force of 80 N. What is the angular velocity of the disc after 5 s ?
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A uniform disc of radius 30 cm and mass 12 kg is pivoted so that
it...
A flywheel (a uniform solid cylinder of radius 0.25 m and mass 80 kg) is initially...
A flywheel (a uniform solid cylinder of radius 0.25 m and mass 80 kg) is initially at rest, but free to rotate about the axis through its center. A belt wrapped around it is pulled off horizontally, providing a tangential force of 45 N to the outer rim of the flywheel for 2.00 s. Calculate the final kinetic energy of the wheel.
A 2.7-kg 12-cm-radius cylinder, initially at rest, is free to rotate about the axis of the...
A 2.7-kg 12-cm-radius cylinder, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 18 N. (a) Find the magnitude of the torque exerted by the rope. N · m (b) Find the angular acceleration of the cylinder. rad/s2 (c) Find the angular velocity of the cylinder at t = 0.70 s. rad/s
A solid disc of uniform mass density has mass of 2 kg and a radius of...
A solid disc of uniform mass density has mass of 2 kg and a radius of 10 cm. The disc is placed horizontally on a frictionless table. A vertical axle passes through the center of the disc. Starting from rest, what is the angular velocity of the disc after a tangential force of 2 N is applied at the rim of the disc over a 5 second period? 31.42 rad/s 10 rad/s 3.142 rad/s 100 rad/s
6. A 25-kg solid cylinder with a radius of 11 cm, initially at rest, is free...
6. A 25-kg solid cylinder with a radius of 11 cm, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 17 N. Assuming that the rope does not slip, determine the following a) The torque exerted on the cylinder by the rope b) The angular acceleration of the cylinder c) The angular speed of the cylinder after 0.5 s
A wheel with mass of 5 kg and a radius of 15 cm is mounted so...
A wheel with mass of 5 kg and a radius of 15 cm is mounted so that it spins on an axle through its center. A light-weight string is wound around the circumference of the wheel. If a constant force of 3.0 N is applied to the end of the string for 1.0 seconds, what will be the change in the angular velocity? (Model the wheel as though it were a uniform cylinder.)
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 uniform disk with mass 38.8 kg and radius 0.200 m is pivoted at its center...
A uniform disk with mass 38.8 kg and radius 0.200 m is pivoted at its center about a horizontal, frictionless axle that is stationary. The disk is initially at rest, and then a constant force 25.0 N is applied tangent to the rim of the disk. a)What is the magnitude v of the tangential velocity of a point on the rim of the disk after the disk has turned through 0.170 revolution? b)What is the magnitude a of the resultant...
A uniform disc with mass M and radius R = 0.10 m is mounted on a...
A uniform disc with mass M and radius R = 0.10 m is mounted on a frictionless, horizontal axle, as shown in the figure. The light cord wrapped around the disk is pulled so that it has a constant tension of T = 20.0 N. Starting from the rest, the disk performs a rotational motion with a constant angular acceleration a = 2 rad/s2 Find mass M of the disk. (Note that the moment of inertia of the disk is...
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius...
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius 2.10 m free to rotate about a frictionless axis through its center. A 40.0 kg child stands at the edge and the system is initially rotating at 0.300 rad/sec. The child begins to walk around the edge of the merry-go-round with a velocity of 0.250 m/s relative to the ground in the direction of the rotation. What is the angular velocity of the merry-go-round...
A string is wrapped around a uniform solid cylinder of radius 4.60 cm, as shown in the figure. The cylinder can rotate...
A string is wrapped around a uniform solid cylinder of radius
4.60 cm, as shown in the figure. The cylinder can rotate freely
about its axis. The loose end of the string is attached to a block.
The block has mass 19.6 kg, and the cylinder has mass 12.3
kg.
a) Find the magnitude α of the angular acceleration of the cylinder
as the block descends.
b)What is the acceleration of the block?
c)What is the tension in the string?
6. A 25-kg solid cylinder with a radius of 11 cm, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 17 N. Assuming that the rope does not slip, determine the following a) The torque exerted on the cylinder by the rope b) The angular acceleration of the cylinder c) The angular speed of the cylinder after 0.5 s
A uniform disc with mass M and radius R = 0.10 m is mounted on a frictionless, horizontal axle, as shown in the figure. The light cord wrapped around the disk is pulled so that it has a constant tension of T = 20.0 N. Starting from the rest, the disk performs a rotational motion with a constant angular acceleration a = 2 rad/s2 Find mass M of the disk. (Note that the moment of inertia of the disk is...
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius 2.10 m free to rotate about a frictionless axis through its center. A 40.0 kg child stands at the edge and the system is initially rotating at 0.300 rad/sec. The child begins to walk around the edge of the merry-go-round with a velocity of 0.250 m/s relative to the ground in the direction of the rotation. What is the angular velocity of the merry-go-round...
A string is wrapped around a uniform solid cylinder of radius
4.60 cm, as shown in the figure. The cylinder can rotate freely
about its axis. The loose end of the string is attached to a block.
The block has mass 19.6 kg, and the cylinder has mass 12.3
kg.
a) Find the magnitude α of the angular acceleration of the cylinder
as the block descends.
b)What is the acceleration of the block?
c)What is the tension in the string?
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