Question

One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.00 m, as shown in the figure below. When θ = 30.0°, the speed of the object is 6.50 m/s.

One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.00 m, as shown in the figure below. When 8 = 30.0°, the speed of the object is 6.50 m/s. 10 (a) At this instant, find the magnitude of the tension in the string. N (b) At this instant, find the tangential and radial components of acceleration. m/s2 downward tangent to the circle ac m/s2 inward (c) At this instant, find the total acceleration inward and below the cord at (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? O Yes O No (e) Explain your answer to part (d).

Answer 1

T 19 Newtanys zudlan Ef = mac muz T-mg Cono = T = m( 12 + g copo) T=27.9054N 6 at - F E = m - gsmo (9.8) Sm 309 z 14.9 m/s2 ac = 210 6.5 1 142.25 m/s2 c a rotel 4+2 +9c2 14.5+ 42.25 42-53 m/s2 tanullat = tan-1/4.9 ac (47.25) = (6.615 d No e of object is swinging the equilibrium posohan at gain speed where it is losing speed it 4+ is scaling away from equilibrium posotian an both cases when the card is 30°. from the vertical asa de at have magnitude & diretan Calcuted m m and ©.

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