The lower disk in the figure has a mass of 440 ? and a radius of 3.5 ?? and is rotating at 180 ??? on a frictionless shaft of negligible radius. The upper disk, which is initially not rotating, has a mass of 270 ? abd a radius of 2.3 ??, and is dropped onto the lower disk. Assume no friction between the shaft and the disks. a. Determine their common rotation speed after the drop (in ???). b. The fraction of kinetic energy lost to friction.
Homework Answers
Constants| Periodic Table Part A In the figure the lower disk, of mass 430 g and...
Constants| Periodic Table Part A In the figure the lower disk, of mass 430 g and radius 3.1 cm, is rotating at 180 rpm on a frictionless shaft of negligible radius. The upper disk, of mass 270 g and radius 2.5 cm, is initially not rotating. It drops freely down onto the lower disk, and frictional forces bring the two disks to a common rotational speed. (Figure 1) Find the final common frequency in rpm. Express your answer using two...
A disk of mass M and radius R is rotating with an angular velocity ω. A...
A disk of mass M and radius R is rotating with an angular velocity ω. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk. After the collision, the disk and rod rotate together with an angular velocity of? What fraction of the initial kinetic energy was lost in the collision?
9. A disk of mass M and radius R is rotating with an angular velocity o....
9. A disk of mass M and radius R is rotating with an angular velocity o. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk as shown in the figure (page above). After the collision, the disk and rod rotate together with an angular velocity of c) 30/4 f) none of the above 10. What fraction of the initial kinetic energy was lost in the collision in question...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100 rad/s on a shaft passing through the center of mass of the disk. A 2 kg solid ball of the same radius, initially not rotating, slides down the shaft(the shaft passes through the ball's center of mass) and is coupled to the disk. Assuming that the rotational inertia of the shaft is negligible, a) What is the angular speed of the disk-ball combination, b)...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100 rad/s on a shaft passing through the center of mass of the disk. A 2 kg solid ball of the same radius, initially not rotating, slides down the shaft (the shaft passes through the ball's center of mass) and is coupled to the disk. Assuming that the rotational inertia is of the shaft is negligible, (b) What is the angular speed of the disk-ball...
3. A uniform solid disk of turns around a frictionless spindle with an angular speed wo...
3. A uniform solid disk of turns around a frictionless spindle with an angular speed wo A hoop with the same mass and radius is dropped onto the disk such that it sticks and begins rotating with the disk. What is the final angular speed? What fraction of the kinetic energy is lost?
A uniform disk with mass M and radius R is rotating about an axis through its center-of-mass.
A uniform disk with mass M and radius R is rotating about an axis through its center-of-mass. The axis is perpendicular to the disk. The moment of inertial for the disk with a central axis is I MR2. Two non-rotating smaller disks, each with mass M2 and radius R/4, are glued on the original disk as shown in the figure. (a) Show that the ratio of the moments of inertia is given by I'/I = 35/16, where I' is the moment...
The mass of the disk is 0.35 kg with a radius of 0.18 m and is...
The mass of the disk is 0.35 kg with a radius of 0.18 m and is
initially spinning at 5 revolutions per second. It is spinning
horizontally and on a very low friction axle.
Then a uniform thin rod of length 0.40m and mass of 0.085 kg is
suspended just above the spinning disk and dropped, without any
rotational motion, onto the spinning disk exactly across its
diameter.
After the rod is dropped, the rod and disk are moving with...
specify equations used please Part I: A disk of mass M and radius R is rotating...
specify equations used please
Part I: A disk of mass M and radius R is rotating with some angular velocity o, about a frictionless axis. A non rotating solid hemisphere of radius R is to be dropped from above and it sticks to the lower disk so that the new angular velocity is 1/3 0.. What is the mass of the hemisphere in terms of M?
A solid circular disk with 200 kg mass and 2 5 meter radius is turning at...
A solid circular disk with 200 kg mass and 2 5 meter radius is turning at 6 rads/sec about a fixed, frictionless, vertical axis A 50 kg woman steps onto this "merry-go-round" at the outer radius Assume she slays at the outer radius and assume she has essentially no kinetic energy just before she touches the spinning disk a) What is the disk's rotation rate after the woman has stepped onto the disk? b) How much mechanical energy converts to...
Constants| Periodic Table Part A In the figure the lower disk, of mass 430 g and radius 3.1 cm, is rotating at 180 rpm on a frictionless shaft of negligible radius. The upper disk, of mass 270 g and radius 2.5 cm, is initially not rotating. It drops freely down onto the lower disk, and frictional forces bring the two disks to a common rotational speed. (Figure 1) Find the final common frequency in rpm. Express your answer using two...
9. A disk of mass M and radius R is rotating with an angular velocity o. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk as shown in the figure (page above). After the collision, the disk and rod rotate together with an angular velocity of c) 30/4 f) none of the above 10. What fraction of the initial kinetic energy was lost in the collision in question...
A 3 kg disk of radius 0.25m is rotating freely at an angular speed of 100 rad/s on a shaft passing through the center of mass of the disk. A 2 kg solid ball of the same radius, initially not rotating, slides down the shaft (the shaft passes through the ball's center of mass) and is coupled to the disk. Assuming that the rotational inertia is of the shaft is negligible, (b) What is the angular speed of the disk-ball...
3. A uniform solid disk of turns around a frictionless spindle with an angular speed wo A hoop with the same mass and radius is dropped onto the disk such that it sticks and begins rotating with the disk. What is the final angular speed? What fraction of the kinetic energy is lost?
The mass of the disk is 0.35 kg with a radius of 0.18 m and is
initially spinning at 5 revolutions per second. It is spinning
horizontally and on a very low friction axle.
Then a uniform thin rod of length 0.40m and mass of 0.085 kg is
suspended just above the spinning disk and dropped, without any
rotational motion, onto the spinning disk exactly across its
diameter.
After the rod is dropped, the rod and disk are moving with...
specify equations used please
Part I: A disk of mass M and radius R is rotating with some angular velocity o, about a frictionless axis. A non rotating solid hemisphere of radius R is to be dropped from above and it sticks to the lower disk so that the new angular velocity is 1/3 0.. What is the mass of the hemisphere in terms of M?
A solid circular disk with 200 kg mass and 2 5 meter radius is turning at 6 rads/sec about a fixed, frictionless, vertical axis A 50 kg woman steps onto this "merry-go-round" at the outer radius Assume she slays at the outer radius and assume she has essentially no kinetic energy just before she touches the spinning disk a) What is the disk's rotation rate after the woman has stepped onto the disk? b) How much mechanical energy converts to...
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