Ahollow spherical shell with mass 1.95 kg rolls without slipping down a slope that makes an angle of 39.0 ∘ with the horizontal. find the minimum coefficient of friction μ needed to prevent the spherical shell from slipping as it rolls down the slope.

0.323

Explanation:

mass of spherical shell=1.95 kg

inclination

Friction will oppose the motion of shell

where a=acceleration

a is given by

I=moment of inertia

and

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

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