A regulation basketball has a 15 cm diameter and may be appropriated as a thin spherical shell. How long will it take a basketball starting from rest to roll without slipping 2.9 m down an incline that makes an angle of 29.7 with the horizontal? The acceleration of gravity is 9.81 m/s^2 .

Answer in units of s.

Solution :

From the given data,

For the spherical shell is

where x is the radius of gyration and the acceleration of a rolling body on an inclined plane = a

Therefore,

  = 0.6 x 9.81 x sin ( 29.7)

Δt = 1.411 s

a

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