* Please show solution so i can understand how the problem issolved. Question: A

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* Please show solution so i can understand how the problem issolved.
Question: A uniform solid sphere rolls down an incline. (a) What must bethe incline angle if the linear acceleration of the center of thesphere is to have a magnitude of 0.10g? (b) If a frictionless blockwere to slide down the incline at that angle, would itsacceleration magnitude be more than, less than, or equal to 0.10g?Why?
Thanks for your help!
Question: A uniform solid sphere rolls down an incline. (a) What must bethe incline angle if the linear acceleration of the center of thesphere is to have a magnitude of 0.10g? (b) If a frictionless blockwere to slide down the incline at that angle, would itsacceleration magnitude be more than, less than, or equal to 0.10g?Why?
Thanks for your help!

Explanation / Answer

When a uniform sphere rolls down an incline      then from newton's laws ofmotion            Ma =Mgsin       a = gsin Therefore the angle of the inclination = sin-1 ( a/g) = sin-1 ( 0.1g /g)= 5.70 (b) Instead of sphere if a block were slide down                 the acceleration should be the same   a = 0.1g only

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