Answered: You can treat the pottery wheel as a… | bartleby

Related questions

Question

You can treat the pottery wheel as a uniform disk and the blob of clay as a point
particle. The moment of inertia of a disk about an axis through its center is given
by I = M R².
(a) Write down expressions for the angular momentum of the system before and
after the blob has been placed on the wheel.
(b) Hence, find the mass M of the pottery wheel.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Two spheres each with a radius of 5.0 cm and mass of 0.50 kg are free to slide along a thin rod with a of length 50 cm and a mass of 2 kg rotating counterclockwise about the center of the rod. Initially, the moment of inertia of the system is 0.255 kg*m². The beads slide to the end of the rod, which changes the moment of inertia to 0.377 kg*m. The tangential speed of either of the spheres after the beads have slid to the end is 20 m/s. What was the initial angular velocity? intial final
Each of the following objects has a radius of 0.162 m and a mass of 2.31 kg, and each rotates about an axis through its center (as in this table) with an angular speed of 38.4 rad/s. Find the magnitude of the angular momentum of each object. (a) a hoop kg · m²/s (b) a solid cylinder kg · m²/s (c) a solid sphere kg · m²/s (d) a hollow spherical shell kg · m²/s
Two kids, each with a mass of 25.0 kg, are standing at the edge of a merry-go-round. Treat both kids as point masses. The merry-go-round is a uniform disk with a mass of 97.5 kg and a radius of 1.25 meters, which is free to rotate about its center of mass without friction. The moment of inertia of a solid disk rotating about its center of mass is given by I = MR2 /2 , and the moment of inertia of a point mass is given by I = mr2 . The merry go round is initially rotating at 12.5 revolutions per minute (rpm). a) If both kids walk to the center of the merry-go-round, what will the final angular speed be, in rpm? Hint: use conservation of angular momentum. b) What is the change in the total kinetic energy of the disk and the two kids during this process? Give your answer in units of Joules (J)
A cockroach of mass m lies on the rim of a uniform disk of mass 8.00m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.320 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then iş the angular velocity of the cockroach-disk system? rad/s (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? (c) What accounts for the change in the kinetic energy? (Select all that apply.) O cockroach does negative work on the disk O gravity O centripetal force O friction O centrifugal force O cockroach does positive work on the disk
Please help me
A uniform rod of mass 210 g and length 100 cm is free to rotate in a horizontal plane around a fixed vertical axis through its center, perpendicular to its length. Two small beads, each of mass 22 g, are mounted in grooves along the rod. Initially, the two beads are held by catches on opposite sides of the rad's center, 12 cm from the axis of rotation. With the beads in this position, the rod is rotating with an angular velocity of 16.0 rad/s. When the catches are released, the beads slide outward along the rod. (a) What is the rod's angular velocity (in rad/s) when the beads reach the ends of the rod? (Indicate the direction with the sign of your answer.) rad/s (b) What is the rod's angular velocity (in rad/s) if the beads fly off the rod in a tangential, straight line path? (Indicate the direction with the sign of your answer.) rad/s
A man with a mass Of 80 kg runs at a speed of 4 m/s along the tangent to a disk shaped platform of mass 160 kg and radius of 2 m. The platform is initially at rest but can rotate freely about an axis through its center. For the platform, I = (1/2) M R². Treat the man as a point particle. (a) Find the angular velocity of the platform after the man jumps in. (2) He then walks slowly to the center. Find the new angular velocity.
A 139-kg platform-oriented horizontally consists of a uniform disk of radius 1.85 m and can rotate about the vertical axis through its center. A 63.3-kg person stands on the platform at a distance of 1.17 m from the center and a 27.5-kg dog sits on the platform near the person, 1.39 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.
A disk of mass (m) and radius (R) is spinning counterclockwise about its axis of symmetry with angular speed (w). A blob of class of mass (mc) is dropped onto the disk at a distance (d) from its center and sticks to the disk. What is the final angular speed of the system? Assume there is an axle through the center of the disk, and that the disk is spinning around an axle through its center, like a turntable. Also assume d<R
A wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R. The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d < R from the center. (a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (b) Is mechanical energy of the clay–cylinder system conserved in this process?
A uniform disk of mass M is rotating freely about its center. On its rim lie a cockroach of mass M/9. Initially the cockroach and disk rotate together with an angular velocity of 3.2 rad/s. Then the cockroach walks halfway to the center of the disk. What is the new angular velocity of the system?
You are trying to get a better feel for the effect of geometry and mass distribution on the moment of inertia. You have a solid disk and a thin ring, each of radius, r = 1.30 m, and mass, m = 73.0 kg. You mount both on fixed, horizontal frictionless axes about which they can spin freely. Then you spin them both. (a) How much work do you need to do to get each object to spin at 3.00 rad/s? (b) Let us assume that you have been causing them to spin by using a constant force applied tangentially to their circumferences. If the above speed is to be reached within 0.700 s, what is the magnitude of the force you need to apply to each object? (c) You next attempt to stop each object by pressing one finger on each side of each object, right at the outer edge. The coefficient of kinetic friction between each finger and the surface of each object is 0.300. Find the minimum force you have to apply to stop each object within 1.00 min.

SEE MORE QUESTIONS