One end of a cord is fixed and a small 0.450-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 3.00 m as shown in the figure below. When 0 = 23.0°, the speed of the object is 7.00 m/s. At this instant, find each of the following i (a) the tension in the cord T = × Your response differs from the correct answer by more than 10%. Double check your calculations. N (b) the tangential and radial components of acceleration a₁ = Your response differs from the correct answer by more than 10%. Double check your calculations. m/s² inward a₁ = m/s² downward tangent to the circle (c) the total acceleration a total = × Your response differs from the correct answer by more than 10%. Double check your calculations. m/s² inward and below the cord at Your response differs from the correct answer by more than 100%.° (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? ○ Yes No ×

One of the more challenging elements in pairs figure skating competition is the "death spiral" (see the figure below), in which the female figure skater, balanced on one skate, is spun in a circle by the male skater. The axis of rotation of the pair is vertical and through the toe of the skate on the male skater's leg that is bent backward, the toe being planted into the ice. During the one-armed maneuver first developed in the 1940s, the outstretched arm of the male skater must apply a large force to support a significant fraction of the female skater's weight and also to provide her centripetal acceleration. This force represents a danger to the structure of the wrist of the male skater. (a) Modeling the female skater, of mass 47.0 kg, as a particle, and assuming that the combined length of the two outstretched arms is 129 cm and that arms make an angle of 45.0° with the horizontal, what is the magnitude of the force (in N) exerted by the male skater's wrist if each turn is completed…

How does gravity affect oscillation of a pen