A sphere of radius r starts from rest and rolls without slipping along a curved surface, dropping through a vertical distance of 0.431 m. Find the final speed v of the sphere's center of mass.
Energy conservation
Potential energy = rolling kinetic energy + translation kinetic energy
mgh= 1/2mv^2 + 1/2 I *w^2
I=2/5 *mr^2 , w=v/r
0.7v^2= 9.81*0.431, v= 2.46 m/s
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A solid sphere of uniform density starts from rest and rolls
without slipping down an inclined plane with angle θ =
30o. The sphere has mass M = 8
kg and radius R = 0.19 m . The
coefficient of static friction between the sphere and the plane is
μ = 0.64. What is the magnitude of the frictional
force on the sphere?
Ff =
N