A homogeneous solid hemisphere, of mass M and radius a rests with its vertex in contact with a rough horizontal plane, and a particle of mass m, is placed on its base, which is smooth, at a distace c from the centre. Show that the hemisphere i!!ence to roll or slide according as the coefficient of friction is greater or less than 25mac 26 (M + m) a² + 40mc²
A homogeneous solid hemisphere, of mass M and radius a rests with its vertex in contact with a rough horizontal plane, and a particle of mass m, is placed on its base, which is smooth, at a distace c from the centre. Show that the hemisphere i!!ence to roll or slide according as the coefficient of friction is greater or less than 25mac 26 (M + m) a² + 40mc²
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Transcribed Image Text:A homogeneous solid hemisphere, of mass M and radius a rests
with its vertex in contact with a rough horizontal plane, and a particle of mass
m, is placed on its base, which is smooth, at a distace c from the centre. Show that
the hemisphereillence to roll or slide according as the coefficient of
friction μ is greater or less than
25mac
26 (M + m) a² + 40mc²
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