circular cylinder in ﬁnite depth water as part of a need to determine accurately the natural frequencies of oscillation of a highly buoyant tethered cylinder. Linton  investigated the problems of radiation (both heave and sway) and scattering of water waves by a sphere submerged in ﬁnite depth water using the same method.
Question 7.11 Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time.
In all the four cases, as the mass density is uniform, centreof mass is located at their respective geometrical centres. 7.11. Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius.
The volume of the cylinder is 21 meters cubed. However, the "height" of the sphere is technically just the diameter, which is twice the radius.
A larger mass on a shorter string is easier to spin around than a small mass with a long string. So, imagine that cylinders rolling down a slope as masses rotating around an axis in the center. Assuming they are the same mass, the hollow cylinder is essentially like the fat kid sitting at the very end--it takes a lot to move him.
Three bodies a ring (R), a solid cylinder (C) and a solid sphere (S) having same mass and same radius roll down the inclined plane without slipping. They start from rest, if v R , v C and v S are velocities of respective bodies on reaching the bottom of the plane, then:
A cylinder of radius RC and mass mC, and a sphere of radius RS and mass mS are released from rest on a rough surface that is inclined at the angle β with the Show transcribed image text 2. A solid cylinder of mass M and radius R starts from rest and rolls without slipping down an inclined plane of...
same height and same diameter is hollowed out. Find the total surface area of the. remaining solid to the nearest cm2. By measuring the amount of water it holds, a child finds its volume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.
of the cylinder is another, smaller, cone, which is similar (proportional) to the original cone. The base of this small cone is the same as the top of the cylinder, so the small cone has radius r. Since \height-to-radius" ratio of the big cone is 3 2, it must be the same for the small cone. This means that the height of the small cone is 3r 2 ...