Determine the angular velocity of the disk and the linear velocity of m and m' (this mass is connected to the smaller radius disk). Calculate the tension in each rope. Assume that m = 600 grams, m' = 500 grams, M = 800 grams, R = 8 cm, and 6 cm. (Both disks have the same density and thickness)
Figure:
a disk is connected via a rope

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

a 2,000 calorie based diet.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .