The "Giant Swing" at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. Each arm supports a seat suspended from a cable 5.00 m long, and the upper end of the cable is fastened to the arm at a point 3.00 m from the central shaft. (a) Find the time of one revolution of the swing if the cable supporting a seat makes an angle of 30.0∘ with the vertical. (b) Does the angle depend on the weight of the passenger for a given rate of revolution?

Answer :

(A) Time period sec

(B) Angle is independent of weight.

Explanation:

Given :

Length of fastened arm m

Length of cable m

(A)

Time of one revolution is

Total radius of circle is m

Total force in horizontal direction X- direction

Since

Total force in Y - direction,

Comparing both equation,

Where

So time period,

  s

(B)

Mass is cancelled out, so the angle is independent of weight.

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.