Created by StemPy LabA horizontal platform in the shape of a uniform disc, of mass and radius , turns freely about a vertical axis through its centre. A man of mass stands at the centre, and the platform turns at revolutions per minute. The man now walks slowly along a radius to the edge of the platform. Treat the man as a point mass. The new rate of turning is closest to
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← A shell is fired from level ground at 100 m/s, at 45° above the horizontal. At the highest point of its path it explodes into two pieces of equal mass. Just after the explosion, one piece is at rest, and it falls straight down. Ignore air resistance and take g = 10 m/s². How far from the gun does the other piece land?Two stars of masses M and 2M form a binary system. They move in circles about their common centre of mass, always staying a distance d apart. If G is the gravitational constant, the period of their motion is →
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