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a slender uniform, metal rod with mass M is pivoted without friction about an ax

ID: 2140674 • Letter: A

Question

a slender uniform, metal rod with mass M is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring with force constant k is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. If the rod is displaced by a small angle ( heta) from the vertical and released, show that it moves in angular SHM and Calculate the period. ^n **Hint: Assume that the angle is small enough for the approximations ( heta) (sin hetapprox heta)

Explanation / Answer

a slender uniform, metal rod with mass M is pivoted without friction about an ax