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Title: A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° Post by: ppk on Apr 4, 2012 A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by I= (2/5)MR2.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline. (b) Determine the angular speed of the sphere at the bottom of the incline. (c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere? Title: Re: A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° Post by: sci_expert on Apr 9, 2012 (a) 7.5 m/s
(b) 50 rad/s (c) The linear speed depends on neither the radius nor the mass of the sphere. The angular speed depends on the radius of the sphere. |