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A uniform rod of length L and mass M is free to rotate about a frictionless pivot at one end. The rod is released from rest in the horizontal position.

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A uniform rod of mass Mand length Llies along the xaxis with its center at the origin. Consider an element of length dxat a distance xfrom the origin. (a) Show that this A student stands on a platform that is free to rotate and holds two dumbbells, each at a distance of 65 cm from his central axis.

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A long, uniform rod of length L and mass M is pivoted about a frictionless, horizontal pin through one end. The rod is nudged from rest in a vertical position. At the instant the rod is horizontal, find (a) its angular speed, (b) the magnitude of its angular acceleration, (c) the x and y components of the acceleration of its center of mass, and ...

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A thin uniform rod AB of mass M and length L is hinged at one end A to the level floor. Initially it stands vertically and is allowed to fall freely to the floor in the vertical plane. The angular velocity of the rod, when its end B strikes the floor is (g is acceleration due to gravity)

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A uniform rod of length L and mass M is free to rotate about a frictionless pivot at the end attached to the wall. A pencil of length L, initially standing on end falls over. With what speed does the eraser strike the horizontal surface, assuming the pencil point remains at rest on the surface?

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Get the detailed answer: A uniform thin rod of mass m=2.6 kg and length L=1.2 m can rotate about an axle through its center. Four forces are acting on it a rod of negligible mass and length 2l. This system is initially at rest with the rod horizontal, as shown above, and is free to rotate about a frictionless, horizontal axis through the center of the rod and perpendicular to the plane of the page. A bug, of mass 3M, lands gently on the sphere on the left.

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