We can model a small merry-go-round as a uniform circular disk with mass 88 kg and...
We can model a small merry-go-round as a uniform circular disk with mass 88 kg and diameter 1.8 m. How many 22 kg children need to ride the merry-go-round, standing right at the outer edge, to double the moment of inertia of the system?
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We can model a small merry-go-round as a uniform circular disk
with mass 88 kg and...
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...
(4) A playground ride, known as merry-go-round, consists of a disk with a mass of 40.0...
(4) A playground ride, known as merry-go-round, consists of a disk with a mass of 40.0 kg and a radius of 1.80 m mounted on a frictionless axle. The frictionless axle is a vertical cylinder of radius kg, and has the same rotational axis as the disk. A child with a mass of 3.50 m/s on a line tangential to the outer rim of the disk and jumps onto the outer edge of the ride while it is at rest...
4. Cons ider the case of a rotating merry-go-round platform of mass of 310 kg and...
4. Cons ider the case of a rotating merry-go-round platform of mass of 310 kg and radius 3.40 m. A person of mass 85 kg is standing on the outer edge of the merry-go-round platform. The merry-go- round platform with the person standing on its edge, rotates without friction about its central vertical axle with an angular speed of 2.30 rad/s. The person then jumps off the merry-go-round along a line radially outward from the central axle of the platform....
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5...
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5 m is rotating initially wi = 12 rad/s. A person (we'll call the person a thin uniform rod) of mass m = 65 kg and height h= R initially stands over the rotation axis. The person decides to lie down with feet at the center and head at the outer edge (see figure). Since the person is a "thin rod', we can ignore the...
A boy of mass 35.2 kg is standing on the edge of a merry-go-round which is at rest.
A boy of mass 35.2 kg is standing on the edge of a merry-go-round which is at rest. The merry-go-round is a flat disk of mass 59.3 kg and radius 2.3m (the moment of inertia of a cylinder is ½ mr^2 ), turning on a frictionless pivot. The boy starts to walk around the edge of the merry-go-round in the clock-wise direction (when viewed from the top). When the boy is moving at 2.4 m/s relative to the merry-go-round: a....
5. Ilan, of mass 75 kg, stands at the center of a rotating merry-go-round platform of...
5. Ilan, of mass 75 kg, stands at the center of a rotating merry-go-round platform of radius 3.0 m and moment of inertia 820 kg · m². The platform rotates without friction with angular velocity 0.95 rad/s. He walks radially to the edge of the platform. (a) Calculate the angular velocity when Ilan reaches the edge. (b) Calculate the rotational kinetic energy of the system of platform plus person before and after the he makes his walk. (c) While Ilan...
4. A 85-kg merry-go-round of radius 1.7 meters has a girl (with a mass of 32...
4. A 85-kg merry-go-round of radius 1.7 meters has a girl (with a mass of 32 kg) riding along on the outer edge. (4 pts.) What is the moment of inertia for the merry-go-round? (4 pts.) What is the moment of inertia for the girl? (3 pts.) What is the total moment of inertia? edge of the merry-go-round, applying a constant torque of 170 Nem. (3 pts.) What is the angular acceleration of the merry-go-round (and girl)? (3 pts.) What...
A uniform circular disk (merry-go-round) of radius R=2.19 m and mass M=21.9 kg freely rotates about...
A uniform circular disk (merry-go-round) of radius R=2.19 m and mass M=21.9 kg freely rotates about a vertical axis, which is perpendicular to the ground, with initial angular velocity omegai=3.05 rad/s. A cat of mass m=8.70 kg, climbing in a tree, which hangs over the disk, falls straight down onto the edge of the disk and rides on it. The cat decides to walk inward and sits down R/2 m from the center. What is now the magnitude of the...
1. Three children are riding on the edge of a merry‑go‑round that has a mass of...
1. Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.80 m. The merry‑go‑round is spinning at 22.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children...
A child of mass m = 40 kg is sitting on a merry-go-round (disk) of mass...
A child of mass m = 40 kg is sitting on a merry-go-round (disk) of mass M = 120 kg and radius R = 1.0 m at a distance r=0.50 m from the axis of rotation. Calculate the moment of inertia of this system, in kg m2. I disk IMR2. Do not type in any units. m M
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...
(4) A playground ride, known as merry-go-round, consists of a disk with a mass of 40.0 kg and a radius of 1.80 m mounted on a frictionless axle. The frictionless axle is a vertical cylinder of radius kg, and has the same rotational axis as the disk. A child with a mass of 3.50 m/s on a line tangential to the outer rim of the disk and jumps onto the outer edge of the ride while it is at rest...
4. Cons ider the case of a rotating merry-go-round platform of mass of 310 kg and radius 3.40 m. A person of mass 85 kg is standing on the outer edge of the merry-go-round platform. The merry-go- round platform with the person standing on its edge, rotates without friction about its central vertical axle with an angular speed of 2.30 rad/s. The person then jumps off the merry-go-round along a line radially outward from the central axle of the platform....
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5 m is rotating initially wi = 12 rad/s. A person (we'll call the person a thin uniform rod) of mass m = 65 kg and height h= R initially stands over the rotation axis. The person decides to lie down with feet at the center and head at the outer edge (see figure). Since the person is a "thin rod', we can ignore the...
5. Ilan, of mass 75 kg, stands at the center of a rotating merry-go-round platform of radius 3.0 m and moment of inertia 820 kg · m². The platform rotates without friction with angular velocity 0.95 rad/s. He walks radially to the edge of the platform. (a) Calculate the angular velocity when Ilan reaches the edge. (b) Calculate the rotational kinetic energy of the system of platform plus person before and after the he makes his walk. (c) While Ilan...
4. A 85-kg merry-go-round of radius 1.7 meters has a girl (with a mass of 32 kg) riding along on the outer edge. (4 pts.) What is the moment of inertia for the merry-go-round? (4 pts.) What is the moment of inertia for the girl? (3 pts.) What is the total moment of inertia? edge of the merry-go-round, applying a constant torque of 170 Nem. (3 pts.) What is the angular acceleration of the merry-go-round (and girl)? (3 pts.) What...
A child of mass m = 40 kg is sitting on a merry-go-round (disk) of mass M = 120 kg and radius R = 1.0 m at a distance r=0.50 m from the axis of rotation. Calculate the moment of inertia of this system, in kg m2. I disk IMR2. Do not type in any units. m M
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