Consider a "round" rigid body with moment of inertia I = BMR², where M is the body's mass, R is thebody's radius, and B is a constant depending on the type of the body.Rigid BodyUniform hoopUniform solid cylinderUniform spherical shellUniform solid sphere11/22/3k2/5 B. (2 points) Among the four "round" rigid bodies shown at the table, for the same masses and radii,which among them will have the most number of cycles per second?

Given: Moment of inertia for round rigid bodies is I = ꞵMR2 . Mass and radii are same for all the…

Answered: Consider a "round" rigid body with…

Similar questions

Each of the following objects has a radius of 0.168 m and a mass of 2.67 kg, and each rotates about an axis through its center (as in this table) with an angular speed of 40.1 rad/s. Find the magnitude of the angular momentum of each object. a hoop a solid cylinder a solid sphere a hollow spherical shell
A hollow spherical shell has mass 8.50 kg and radius 0.240 m. It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.875 rad/s2. What is the kinetic energy of the shell after it has turned through 6.50 rev?
Needs Complete typed solution with 100 % accuracy.
Four particles with masses 7 kg, 2 kg, 7 kg, and 4 kg are connected by rigid rods of neg- ligible mass as shown. Aassume the system. rotates in the xy plane about the z axis (ori- gin, O) with an angular speed of 6 rad/s. 7 kg y A 4 kg 2 kg 6 rad/s 7 kg Т 5 m Find the moment of inertia of the system about the z axis. Answer in units of kg. m². Your response... Previous Responses X #1.490 PALETTE
A 25-kg child stands at a distance r = 1.0 m from the axis of a rotating merry-go-round. The merry-go-round can be approximated as a uniform solid disk with a mass of 500 kg and a radius of 2.0 m. The moment of inertia of this system is
A disc of mass M and radius R is rolling without slipping. The ratio of its rotational kinetic energy to its translational kinetic energy is 0.25 4 O 1 O 0.5 O 2 O 1.5
A spherical shell of radius 3.09 cm and a sphere of radius 7.47 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the spherical shell's angular speed to the sphere's angular speed be?
A rope with a negligible mass has two blocks that are suspended over a pulley, m, and M, as shown in the image. The pulley can be considered as a uniform solid cylindrical disk. What is the equation for the net torque on the disc? Assume acceleration of blocks are a=(1/2)(9.8m/s2). What is the moment of inertia for this shape? (using the net torque equation from the above question, substitute the moment of inertia) The angular acceleration is correlated to the linear acceleration as α=r. Make the substitution into the torque equation in order to get the equation in terms of acceleration, α only.
Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius Rb=2R are connected by a thin, uniform rod of length L=2R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia I about the axis through the center of the rod. Write the expression in terms of M, R, and a numerical factor in fraction form.
A solid cylinder with a radius of 4.0 cm has the same mass as a solid sphere of radius R. If the cylinder and sphere have the same moment of inertia about their centers, what is the sphere’s radius?
The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.209 m and mass 5.08 kg, and two thin crossed rods of mass 8.66 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0462 m thick, made out of a material with a density of 7830 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?
The table below lists four uniform objects. Object 4 is selected and placed on a frictionless axle along its axis of symmetry as in the figure. Find the object's mass if its radius is R = 0.7 m and a torque of magnitude T = 24.2 Nm (about the axle) exerted by force causes an angular acceleration of magnitude a = 9 rad/s². Object Number 1 2 3 4 R M = Object solid sphere hollow sphere thin-walled hollow cylinder solid cylinder Top View M -axle kg F

SEE MORE QUESTIONS

Consider a "round" rigid body with moment of inertia I = BMR2, where M is the body's mass, R is the body's radius, and B is a constant depending on the type of the body. Rigid Body Uniform hoop Uniform solid cylinder Uniform spherical shell Uniform solid sphere 1 1/2 2/3 k 2/5