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imperfectly rough fixed A homogeneous sphere rolls down an sphere, starting from rest at the highest point. If the spheres separate when the with the vertical, prove that cos line joining their centres makes an angle 2μ sin 0= Ae²ue, where A is the function of μ only.

imperfectly rough fixed A homogeneous sphere rolls down an sphere, starting from rest at the highest point. If the spheres separate when the with the vertical, prove that cos line joining their centres makes an angle 2μ sin 0= Ae²ue, where A is the function of μ only.

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A homogeneous imperfectly rough fixed sphere rolls down an sphere, starting from rest at the highest point. If the spheres separate when the line joining their centres makes an angle with the vertical, prove that cos 0 + 2μ sin 0 = Ae²ue, where A is the function of μ only.
Transcribed Image Text:A homogeneous imperfectly rough fixed sphere rolls down an sphere, starting from rest at the highest point. If the spheres separate when the line joining their centres makes an angle with the vertical, prove that cos 0 + 2μ sin 0 = Ae²ue, where A is the function of μ only.
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