Problem 6. Find the moment of inertia of a solid torus of mass M, inner radius...
Find the moment of inertia of a solid sphere (mass M, radius R) around a diameter. Do this by slicing the sphere into disks.
Find the moment of inertia of a solid sphere (mass M, radius R) around a diameter. Do this by slicing the sphere into disks.
Problem 6 A torus (bagel shape) with inner circle radius a and outer circle radius b has wires wrapped around it to form N loops large enough that cylindrical symmetry is a fair approximation. If the current running through the wire is I and is moving upwards when viewed from above along the outer edge of the torus fine the magnetic field in the plane that cuts the torus in half horizontally (like you were cutting the bagel to make...
Question 18 You are given a solid ring with mass m * 2 kg and moment of inertia, / +34 kg cm2. The inner radius of the ring is R3 cm. What is the outer radius, R, of the ring? 8.5 cm. 3.2 cm 5 cm. 15 cm
A thick ring has inner radius 1/2R, outer radius R, and mass M. Find an expression for its rotational inertia. Express your answer in terms of the variables R and M.
M 6 Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius Rp = 3R) are connected by a thin, uniform rod of length L = 4R 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...
A hollow cylinder of mass M has an outer radius of 10 cm. Calculate the inner radius of the cylinder, if the cylinder is to roll down an incline in the same time as a spherical shell of mass M and radius 10 cm. You may assume that the moment of inertia of a spherical shell of mass M and radius R is 2MR2/3. answer: 5.8 cm
two uniform solid spheres with mass M and radius R and the other with mass M and radiius Rb =2R, are connected by a thin uniform rod of length L=2R and mass M. find an expression for the moment of inertia I about the axis through the center of the rod. wrtie an expression in terms of M, R, and a numerical factor in fraction form Mandard and the chamad conected by a thirred of 2R and Find an expression...
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...
Moment of Inertia or Rotational Inertia. A solid cylinder has mass 25kg with radius 60 cm (a) Find its moment of inertia. (b) if the cylinder has a linear speed is 7.7ms, what is the magnitude of the angular momentum of the cylinder? (b) If the cylinder has a linear speed is 7.7m/s, what is the magnitude of the rotational kinetic energy of the cylinder?