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?
I got 21.168N and the computer told me I was wrong because I was trying to find force of the max static instead of the actual static force. Please help!
m*g*sin20-f=m*a and the rotational frame f*r=I*a/r where f is the force of friction, a is the translational acceleration and I is the moment of inertia of the sphere
combine and solve for f a=g*sin20-f/m and f*r^2/I=g*sin20-f/m or f=g*sin20/(r^2/I+1/m)
