A person sits on a frictionless stool that is free to rotate but is initially at...
A person sits on a frictionless stool that is free to rotate but is initially at rest. The person is holding a bicycle wheel (I = 3 kg*m2) that is rotating at 8 rev/s in the clockwise direction as viewed from above, and the moment of inertia of the person-wheel-stool system is 9 kg*m2. For this problem, all answers involving a rotational component will be expressed in revolutions rather than radians.
1. What is direction of the angular momentum of the system?
2. The person flips the rotating wheel over 180 degrees. What is the magnitude of the angular momentum of the rotating wheel?
3. After the person flips the rotating wheel over 180 degrees, what is the direction of the angular momentum of the rotating wheel?
4. After the person flips the rotating wheel over 180 degrees, what is the magnitude of the angular momentum of the system?
5. After the person flips the rotating wheel over 180 degrees, what is the direction of the angular momentum of the system?
6. The person flips the rotating wheel over 180 degrees, taking 0.5 seconds to complete this action. What is the magnitude of the angular velocity of the person-wheel-stool system about the axis of the stool after the wheel is flipped?
7. What is the direction of the angular velocity of the person-wheel-stool system about the axis of the stool after the wheel is flipped?
8. What is the magnitude of the angular acceleration of the person-wheel-stool system?
9. T/F: The angular momentum of a system only changes with the application of an external net torque; otherwise the angular momentum of a system will never change.
Homework Answers
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A person sits on a frictionless stool that is free to rotate but
is initially at...
A student sitting on a stool that is free to rotate (frictionless), but is initially at...
A student sitting on a stool that is free to rotate (frictionless), but is initially at rest, holds a bicycle wheel. The wheel has a rotational velocity of 10 rev/s about a vertical axis counter clockwise (vector of angular momentum points up). The rotational inertia of the wheel is 4 kg*m2 about its center and the rotational inertia of the student and wheel and platform about the rotational axis of the platform is 12 kg*m2. If the student flips the axis of...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5 m on a merry-go-round (rmgr = 2.0 m, Imgr = 1000 kg*m2) with a constant force F = 90 N applied tangentially to the edge of the merry-go-round (i.e., the force is perpendicular to the radius). The merry-go-round resists spinning with a frictional force of f = 10 N acting at a radius of 1 m and a frictional torque τ = 15 N*m...
A student holds a spinning bicycle wheel while sitting motionless on a stool that is free...
A student holds a spinning bicycle wheel while sitting
motionless on a stool that is free to rotate about a vertical axis
through its center (see the figure below). The wheel spins with an
angular speed of 16.1 rad/s and its initial angular momentum is
directed up. The wheel's moment of inertia is 0.110 kg ·
m2 and the moment of inertia for the student plus stool
is 3.30 kg · m2.
(a)
Find the student's final angular speed (in...
On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a...
On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a distance of 0.560m from the axis of rotation of the stool. she is given an angular velocity of 2.75rad/s , after which she pulls the dumbbells in until they are only 0.160m distant from the axis. the woman's moment of inertia about the axis of rotation is 4.50kg*m2 and may be considered constant. Each dumbbell has a mass of 4.80kg and may be considered...
On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a...
On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a distance of 0.620 m from the axis of rotation of the stool. She is given an angular velocity of 3.05 rad/s , after which she pulls the dumbbells in until they are only 0.160 m distant from the axis. The woman's moment of inertia about the axis of rotation is 5.50 kg⋅m2 and may be considered constant. Each dumbbell has a mass of 5.35...
Kindly answer the and explain the questions given below Part B: Moving a Bicycle Wheel Equipment...
Kindly answer the and explain the questions given below
Part B: Moving a Bicycle Wheel Equipment • rotating platform with stool . bicycle wheel Procedure 3. Have a different group member sit on the stool. Have another group member rotate the bicycle wheel as quickly as possible. Orient this rotating wheel so that it is rotating cow in a horizontal plane when viewed from above and pass lit to the stationary person on the stool. Observe what happens when the...
3. A student sits on a freely rotating stool holding two dumbbells, each of mass 2.92...
3. A student sits on a freely rotating stool holding two dumbbells, each of mass 2.92 kg. When his arms are extended horizontally, the dumbbells are 0.95 m from the axis of rotation and the student rotates with an angular speed of 0.754 rad/s. The moment of inertia of the student plus stool is 2.69 kg · m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.305 m from the rotation axis....
A 85 kg person, which tan be treated at a point maw. 11 initially located at...
A 85 kg person, which tan be treated at a point maw. 11 initially located at the edge of a I SO kg solid merry go round with a radius of 2 meters rotating clockwise at a rate of 0.5 revolutions per second. The then moves toward the center of the merry-go-round to a radius of 1 m Calculate the Initial moment of inertia for the system about the given pivot point Calculate the magnitude and direction of the initial...
A student sits on a freely rotating stool holding two dumbbells, each of mass 2.98 kg...
A student sits on a freely rotating stool holding two dumbbells, each of mass 2.98 kg . When his arms are extended horizontally , the dumbbells are 0.96 m from the axis of rotation and the student rotates with an angular speed of 0.747 rad/s. The moment of inertia of the student plus stool is 2.62 kg · m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.305 m from the rotation...
A student sits on a freely rotating stool holding two dumbbells, each of mass 3.08 kg...
A student sits on a freely rotating stool holding two dumbbells,
each of mass 3.08 kg (see figure below). When his arms are extended
horizontally (Figure a), the dumbbells are 0.96 m from the axis of
rotation and the student rotates with an angular speed of 0.755
rad/s. The moment of inertia of the student plus stool is 2.53 kg ·
m2 and is assumed to be constant. The student pulls the
dumbbells inward horizontally to a position 0.304 m...
A student holds a spinning bicycle wheel while sitting
motionless on a stool that is free to rotate about a vertical axis
through its center (see the figure below). The wheel spins with an
angular speed of 16.1 rad/s and its initial angular momentum is
directed up. The wheel's moment of inertia is 0.110 kg ·
m2 and the moment of inertia for the student plus stool
is 3.30 kg · m2.
(a)
Find the student's final angular speed (in...
Kindly answer the and explain the questions given below
Part B: Moving a Bicycle Wheel Equipment • rotating platform with stool . bicycle wheel Procedure 3. Have a different group member sit on the stool. Have another group member rotate the bicycle wheel as quickly as possible. Orient this rotating wheel so that it is rotating cow in a horizontal plane when viewed from above and pass lit to the stationary person on the stool. Observe what happens when the...
3. A student sits on a freely rotating stool holding two dumbbells, each of mass 2.92 kg. When his arms are extended horizontally, the dumbbells are 0.95 m from the axis of rotation and the student rotates with an angular speed of 0.754 rad/s. The moment of inertia of the student plus stool is 2.69 kg · m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.305 m from the rotation axis....
A 85 kg person, which tan be treated at a point maw. 11 initially located at the edge of a I SO kg solid merry go round with a radius of 2 meters rotating clockwise at a rate of 0.5 revolutions per second. The then moves toward the center of the merry-go-round to a radius of 1 m Calculate the Initial moment of inertia for the system about the given pivot point Calculate the magnitude and direction of the initial...
A student sits on a freely rotating stool holding two dumbbells,
each of mass 3.08 kg (see figure below). When his arms are extended
horizontally (Figure a), the dumbbells are 0.96 m from the axis of
rotation and the student rotates with an angular speed of 0.755
rad/s. The moment of inertia of the student plus stool is 2.53 kg ·
m2 and is assumed to be constant. The student pulls the
dumbbells inward horizontally to a position 0.304 m...
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