Created by StemPy LabA uniform solid cylinder of mass lies on a rough horizontal floor. A horizontal force of is applied to it, perpendicular to its axis, at the topmost point of the cylinder. The cylinder rolls without slipping. Which statement about the acceleration of its centre and the friction force from the floor is correct?
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← A smooth hemisphere of radius R is fixed with its flat face on a horizontal floor, as shown in the figure. A small particle is placed at its top and given a horizontal speed u = √(gR/2). The particle slides down the curved surface and, at some point, leaves it. How far below the top of the hemisphere is the particle when it loses contact?Imagine a straight, smooth tunnel dug through the Earth along a chord, as shown in the figure. The chord is at a distance R/2 from the centre of the Earth, where R is the radius of the Earth. Treat the Earth as a uniform sphere, and let g be the acceleration due to gravity at its surface. A small ball is released from rest at one end of the tunnel. Its speed as it passes the midpoint of the tunnel is →
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