Question

A spherical ball with a radius R = 12.0 cm is thrown on a uniform horizontal lane with initial soeed of 9.0 m/s. The ball is thrown in such a way that it skids for a distance before is starts pure rolling. Its motion is purely translational when it first hit the lane. The coefficient lf kinetic friction between the ball and the lane is 0.22. (a) For how long the ball skids? (b) How many revolution does it make before it starts to roll?

3.A spherical ball with a radius R = 12.0 cm is thrown on a uniform horizontal lane with initial speed of 9.0 m/s. The ball is thrown in such a way that it skids for a distance before it starts pure rolling. Its motion is purely translational when it first hit the lane. The coefficient of kinetic friction between the ball and the lane is 0.22. (a) For how long the ball skids? (b) How many revolutions does it make before it starts to roll? (Note: 1=(2/5)MR (7-points)

Answer 1

R=012m, mo I = 22 mR² V=wR. A IN = mg vo MKN t -- ov ing puerolling a= Mking -ukg. v=vo-ungt To= uking R=102 » MK mg R= 2 med 2 = m & ung • rad/s² 2 R Ex0.22 x 9.8 a 12 =44092 rad/s2 o=otat from (2261) V=WR atR > Vo-ungt 44.92x012 t 9 -0.22x9.8 xt: t=10199 31080 rad bo O= 0+1 2+² I 2 x 44.92*(1-1972 Ano 31.80 5.06 No of renonton an ejanto Oxford