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Determine elongation because of self weight of tapering rod:
Sol.: Take a tapering rod hung vertically and firmly fixed at top position. The rod is of length L tapers uniformly from diameter dl to d2, Let sides AC and BD meet at the point E when produced. Extension L in the length L of the rod ABDE because of self weight is
δL = extension of conical rod AEB because of self weight - extension because of conical segment CEB because of self weight - extension in rod length L because of weight of segment CED where P is weight of segment CED and w is specific weight of bar material Substituting the value of tensile load P in above expression, we get From geometrical configuration This gives : If rod is conical, that is, d2 = 0 which is same expression as derived previously.
Compute amplitude and frequency of the particle: The displacement of a particle is described by x = 5 + 3 cos 3 t. Determine the position of the particle at t = 3 seconds. Com
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clamping calulations
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