A disc as moment of inertia 4 kg · m² and a radius of 1.43 m...
A disc as moment of inertia 4 kg · m² and a radius of 1.43 m revolves around a fixed, frictionless axis perpendicular to the disc and passing through the center of the disc. A force of 15 N is applied tangentially to the edge of the disc, which starts from the rest. Determine the angular velocity after the disk completes 2.7 revolution (s). Choose one: a)ω = 2.5 rad / s b)ω = 9.4 rad / s c)ω = 3.6 rad / s d)ω = 9.5 rad / s e)ω = 13 rad / s
Homework Answers
A carousel has a radius of 2 m and a moment of inertia of 500 kg·m²,...
A carousel has a radius of 2 m and a moment of inertia of 500 kg·m², and can rotate around a frictionless axis. A person of 25 kg runs tangentially towards the edge of this carousel, which is at rest, with an initial velocity v = 2.5 m/s, and jumps into the toy. What is the final angular velocity of the person and the carousel together?
In the diagram, Disk 1 has a moment of inertia of 4.20 kg · m2 and...
In the diagram, Disk 1 has a moment of inertia of 4.20 kg · m2 and is rotating in the counterclockwise direction with an angular speed of 6.90 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular speed of 8.50 rad/s falls from above onto Disk 1. The two then rotate as one in the clockwise direction with an angular speed of 2.80 rad/s. Determine the moment of inertia of Disk 2.
In the diagram, disk 1 has a moment of inertia of 3.2 kg · m2 and...
In the diagram, disk 1 has a moment of inertia of 3.2 kg · m2 and is rotating in the counterclockwise direction with an angular velocity of 7.3 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular velocity of 8.9 rad/s falls from above onto disk 1. The two then rotate as one in the clockwise direction with an angular velocity of 1.8 rad/s. Determine the moment of inertia, in kg ·...
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...
20.) A circular disc of mass M =500 gm and radius R = 20 cm is...
20.) A circular disc of mass M =500 gm and radius R = 20 cm is rotating about an axis perpendicular to it and passing through its centre. The initial angular speed of rotation of the disc is 30 rad/s. A bug of mass m = 25 gm which was originally on the disc at the rotating axis crawls outward and stops when it is 5 cm from the rim of the disc Calculate the new speed of rotation of...
A flat horizontal disc of moment of inertia 2.2 kg m2 is rotating at 4.5 rad...
A flat horizontal disc of moment of inertia 2.2 kg m2 is rotating at 4.5 rad s-1 about a vertical axis through its centre. A 0.13 kg mass is dropped onto the disc, landing without slipping 1.4 m from the centre. Calculate the new angular velocity of the disc, in rad s-1 , to 2d.p.
1. The pulley has a radius of 2.70 m and a moment of inertia of 39.0...
1. The pulley has a radius of 2.70 m and a moment of inertia of 39.0 kg·m2. The hanging mass is 4.20 kg and it exerts a force tangent to the edge of the pulley. What is the angular acceleration of the pulley? (answer needed in rad/s^2 2. A string is wound tight around the spindle of a top, and then pulled to spin the top. While it is pulled, the string exerts a constant torque of 0.150 N·m on...
7) A turntable with moment of inertia IT = 0.042 kg m2 and radius R = 0.24 m is rotating with ω = 0.68 rad/s. A mouse of...
7) A turntable with moment of inertia IT = 0.042 kg m2 and radius R = 0.24 m is rotating with ω = 0.68 rad/s. A mouse of mass m = 0.053 kg is standing on the edge of the turntable. a) What are the total moment of inertia and the total angular momentum of this system? b) If the mouse walks towards the center of the turntable, does the angular velocity increase or decrease? Explain the answer conceptually. c)...
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed...
A merry-go-round with moment of inertia 400 kg-m^2 and radius 2.0m is rotating with angular speed 0.50 rad/s in the clockwise direction about a fixed axis. A child of mass 40 kg runs tangentially to the merry-go-round with speed 3.0m/s and grabs onto the outside edge of the merry-go-round. a. What is the final angular velocity of the system (merry-go-round plus child)/ What is the final tangential speed of the child? b. What is the change in kinetic energy? c....
A carousel has a radius of 1.70 m and a moment of inertia of 130 kg...
A carousel has a radius of 1.70 m and a moment of inertia of 130 kg · m2 . A girl of mass 46.5 kg is standing at the edge of the carousel, which is rotating with an angular speed of 3.20 rad/s. Now the girl walks toward the center of the carousel and stops at a certain distance from the center d. The angular speed of the carousel is now 5.2 rad/s. How far from the center did the...
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...
20.) A circular disc of mass M =500 gm and radius R = 20 cm is rotating about an axis perpendicular to it and passing through its centre. The initial angular speed of rotation of the disc is 30 rad/s. A bug of mass m = 25 gm which was originally on the disc at the rotating axis crawls outward and stops when it is 5 cm from the rim of the disc Calculate the new speed of rotation of...
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