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Prove the result that the velocity v of translation of a rolling body (like a ring, disc,cylinder or sphere) at the bottom of an inclined plane of a height h is given by υ² = [ 2gh / (1 + k ² / R ²)] using dynamical consideration (i.e. by consideration of forces and torques). Note k is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the plane

Answer» Prove the result that the velocity v of translation of a rolling body (like a ring, disc,cylinder or sphere) at the bottom of an inclined plane of a height h is given by υ² = [ 2gh / (1 + k ² / R ²)] using dynamical consideration (i.e. by consideration of forces and torques). Note k is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the plane


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