Auniform sphere (i = 2/5 mr 2 ) rolls down an incline. (a) what must be the incline angle if the linear acceleration of the center of the sphere is to be 0.10 gb) for this angle, what would be the acceleration of a frictionless block sliding down the incline

Part a)

Part b)

Explanation:

As the uniform sphere is rolling down the inclined plane then the net force on the sphere is given as

also we have torque equation on it

for pure rolling

now we have

now we have

now given that

so we have

Part b)

If the inclined plane is frictionless then the acceleration is given as

Explanation:

Given

Moment of inertia of sphere is

Here Friction will Provide torque

thus

Also friction will oppose weight sin component

(b)Considering the coefficient of friction

acceleration of block sliding down the incline

i wanna say it’s between b and d, leaning more towards b.

when heated, the valance electrons increased their speed and transferred the heat from electron to electron.   i just took the test.