Two uniform, solid cylinders of radius r
and total mass m are connected along their
common axis by a short, light rod and rest
on a horizontal tabletop . a frictionless ring
at the center of the rod is attached to a
spring with force constant k; the other end
of the spring is fixed. the cylinders are
pulled to the left a distance x, stretching the
spring, and then released from rest. due to
friction between the tabletop and the
cylinders, the cylinders roll without
slipping as they oscillate. show that the
motion of the center of mass of the
cylinders is simple harmonic, and find its
period.
The perimeter of a rectangle is given by the formula p=2l+2w, where l represents the length and w represents the width. what is the perimeter of a rectangular field measuring 80 feet by 85 feet.
We know that a number is called a composite number if it has at least one factor other than 1 and the number itself. Here, 5045 is the product of 2 prime factors 5 and 1009 . Hence,7× 6 × 5 × 4 × 3 × 2 × 1+ 5 is a composite number.