No Knowledge Points Yet
Knowledge points for this tag are currently being developed.
Browse Problems
3 problems tagged with center-of-mass in Rotational Motion
P0642
Beginner Mechanics › Rotational MotionCenter of Mass of Three Touching Disks
Three uniform disks of the same material and thickness have radii $r_1=a$, $r_2=2a$, and $r_3=2a$. They are welded together in a line such that their edges touch, as shown in the diagram.
- Find the distance of the center of mass of the system from the center of the smallest disk (radius $a$).
- Find the moment of inertia around the center of the disk with radii $r_2=2a$.
P0645
Intermediate Mechanics › Rotational MotionCenter of Mass of a Disk with Hole
A uniform circular disk has a radius $R$. A circular hole with a radius of $R/2$ is cut from it, tangent to the center and the edge of the original disk.
- Find the distance of the center of mass of the remaining part from the center of the original disk.
- Find its moments of inertia about an axis at the center of the original disk and perpendicular to the disk
P0737
Advanced Mechanics › Rotational MotionMotion of Two Masses Connected by a String
Two point masses, 1 and 2, with masses $m_1$ and $m_2$ ($m_1 > m_2$) respectively, are on a smooth horizontal table. They are connected by a light, inextensible string of length $L$. Initially, mass 1 is held fixed while mass 2 revolves around it in a circle. Then, mass 1 is released, and mass 2 follows the trajectory shown in the figure.
- Find the spacing $h$ (distance between neighboring points $A_2$) and the loop width $d$ (distance between neighboring points $A_2$) of the trajectory. And find the height of the loop $H$ (vertical distance between neighboring points of $A_1$ and $A_2$).
- Find the radius of curvature of the trajectory of $m_2$ at its turning points (points of maximum and minimum vertical displacement).
Practice by Difficulty
Practice all Center-Of-Mass problems by difficulty level
Problem Sets
No problem sets available for Center-Of-Mass.