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What do we calculate if we integrate length element ds around a full circle? the area of the circle the diameter of the circle the circumference of the circle the radius of the circle

What do we calculate if we integrate length element ds around a full circle? the area of the circle the diameter of the circle the circumference of the circle the radius of the circle

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What do we calculate if we integrate length element d s around a full circle? the area of the circle the diameter of the circle the circumference of the circle the radius of the circle

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A pendulum, comprised of a light string of length L and a small sphere (its radius is much smaller than L or d ), swings in the vertical plane. The pendulum is released from rest at the horizontal position (θ = 90∘). During the swing, the string bends around a peg located a distance d below the point of suspension, and the pendulum swings a full circle around the peg. We choose d to be the smallest distance that allows this to happen. a) At this value of d, what is the kinetic energy of the pendulum at the top of the circular swing? b) What is d in terms of L ? c) Discuss how the results for (a) and (b) would change if the pendulum moves against air resistance throughout its path. No calculations are required but you should answer in terms of work and energy.

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