Homework Answers
Two ladybugs sit on a rotating disk, as shown in the figure (the ladybugs are at rest with respect to the surface of t...
Two ladybugs sit on a rotating disk, as shown in the figure (the ladybugs are at rest with respect to the surface of the disk and do not slip). (Figure 1) Ladybug 1 is halfway between ladybug 2 and the axis of rotation. What is the angular speed of ladybug 1? one-half the angular speed of ladybug the same as the angular speed of ladybug 2 twice the angular speed of ladybug 2 one-quarter the angular speed of ladybug 2...
A ladybug crawls along the radius of a rotating compact disk of mass M = 0.015...
A ladybug crawls along the radius of a rotating compact disk of mass M = 0.015 kg and radius r = 0.06 m (ldisk = Mr²/2). The pivot is frictionless and the disk is initially rotating with angular speed wa = 31.416 rad/s. The ladybug starts at the outer edge (Figure A) and ends at center (Figure B). At the end of the ladybug's travel the disk rotates with angular speed wg = 31.510 rad/s. WB Figure A Figure B...
VB = 10 ft/s B D The disk shown on the figure is rotating counterclockwise at...
VB = 10 ft/s B D The disk shown on the figure is rotating counterclockwise at the same time it slips on the surface (notice the difference in the speeds of points A and B). 0.8 450 CN30° For the instant shown: VA = 5 ft/s a) Find the location of the instantaneous center of rotation. Use the space below to do the required velocity diagram. (15 points) b) Determine the velocity of the center of the disk (point C)...
Calculate the angular momentum for a rotating disk, sphere, and rod. (a) A uniform disk of...
Calculate the angular momentum for a rotating disk, sphere, and rod. (a) A uniform disk of mass 16 kg, thickness 0.5 m, and radius 0.9 m is located at the origin, oriented with its axis along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the +y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.7 s. What is the...
Rotation Homework 1 1.) Clearly explain the difference between rotation and a revolution. near speed called...
Rotation Homework 1 .1.) Clearly explain the difference between rotation and a revolution. 2.) What is linear speed called when something is rotating? 3.) At a constant radius, how does the tangential speed change as the angular velocity increases? 4.) At a constant angular velocity, how does tangential speed change as the radius increases? 5.) A ladybug sits halfway between the axis and the edge of a rotating disk. What will happen to the ladybug's tangential velocity if a.) The RPM rate is doubled? b.) The ladybug...
Free body diagram: 24 0.5r 0.5r No slip (a) An ec centric disk is rotating on the ground as shown in the figure above. The disk has radius r. The distance between the center of mass of th...
Free body diagram: 24 0.5r 0.5r No slip (a) An ec centric disk is rotating on the ground as shown in the figure above. The disk has radius r. The distance between the center of mass of the disk (denoted as C) to its geometric center (denoted as O) is 1 r. The angle of rotation of the disk is θ and the displacement at point O is x. The disk has mass m. The moment of inertia with respect...
An object is placed on top of a horizontally rotating disk at a distance of 0.2...
An object is placed on top of a horizontally rotating disk at a distance of 0.2 m from the center (axis of rotation). We observe that the object starts sliding when the frequency of the disk’s rotational motion is 30 revolutions/min. Find the coefficient of static friction between the object and the disk. Use g = 10 m/s2.
When a compact disk with a 12.0-cm diameter is rotating at 34.6 rad/s, what are (a)...
When a compact disk with a 12.0-cm diameter is rotating at 34.6 rad/s, what are (a) the linear speed and (b) the centripetal acceleration of a point on its outer rim? (c) Consider a point on the CD that is halfway between its center and its outer rim. Without repeating all of the calculations required for parts (a) and (b), determine the linear speed and the centripetal acceleration of this point.
A turntable with a rotational inertia 0.215 kg middot m^2 is rotating at 3.35 rad/s. Suddenly,...
A turntable with a rotational inertia 0.215 kg middot m^2 is rotating at 3.35 rad/s. Suddenly, a disk with rotational inertia 0.106 kg times m^2 is dropped onto the turntable with its center on the rotation axis. Assuming no outside forces act, what's the common rotational velocity of the turntable and disk?
A baseball bat can be rotated around many different axes of rotation. Three such possibilities are shown in (Figure 1)
Figure 1:Part A: A baseball bat can be rotated around many different axes of rotation. Three such possibilities are shown in (Figure 1) . Rank the baseball bat's moment of inertia about each of these three axes of rotation.Rank the moment of inertia from largest to smallest and overlap axes labels if the same.Part B: Given the same baseball bat and possible axes of rotation shown in (Figure 1) , for which axis of rotation would it be the easiest...
Two ladybugs sit on a rotating disk, as shown in the figure (the ladybugs are at rest with respect to the surface of the disk and do not slip). (Figure 1) Ladybug 1 is halfway between ladybug 2 and the axis of rotation. What is the angular speed of ladybug 1? one-half the angular speed of ladybug the same as the angular speed of ladybug 2 twice the angular speed of ladybug 2 one-quarter the angular speed of ladybug 2...
A ladybug crawls along the radius of a rotating compact disk of mass M = 0.015 kg and radius r = 0.06 m (ldisk = Mr²/2). The pivot is frictionless and the disk is initially rotating with angular speed wa = 31.416 rad/s. The ladybug starts at the outer edge (Figure A) and ends at center (Figure B). At the end of the ladybug's travel the disk rotates with angular speed wg = 31.510 rad/s. WB Figure A Figure B...
VB = 10 ft/s B D The disk shown on the figure is rotating counterclockwise at the same time it slips on the surface (notice the difference in the speeds of points A and B). 0.8 450 CN30° For the instant shown: VA = 5 ft/s a) Find the location of the instantaneous center of rotation. Use the space below to do the required velocity diagram. (15 points) b) Determine the velocity of the center of the disk (point C)...
Calculate the angular momentum for a rotating disk, sphere, and rod. (a) A uniform disk of mass 16 kg, thickness 0.5 m, and radius 0.9 m is located at the origin, oriented with its axis along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the +y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.7 s. What is the...
Free body diagram: 24 0.5r 0.5r No slip (a) An ec centric disk is rotating on the ground as shown in the figure above. The disk has radius r. The distance between the center of mass of the disk (denoted as C) to its geometric center (denoted as O) is 1 r. The angle of rotation of the disk is θ and the displacement at point O is x. The disk has mass m. The moment of inertia with respect...
A turntable with a rotational inertia 0.215 kg middot m^2 is rotating at 3.35 rad/s. Suddenly, a disk with rotational inertia 0.106 kg times m^2 is dropped onto the turntable with its center on the rotation axis. Assuming no outside forces act, what's the common rotational velocity of the turntable and disk?
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