Shown in the figure is a simple apparatus that may be used

Chapter 8, Problem 62

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Shown in the figure is a simple apparatus that may be used to simulate gravity conditions on other planets. A rope is attached to an astronaut who maneuvers on an inclined plane that makes an angle of degrees with the horizontal. (a) If the astronaut weighs 160 pounds, find the x- and y-components of the downward force (see the figure for axes). (b) The y-component in part (a) is the weight of the astronaut relative to the inclined plane. The astronaut would weigh 27 pounds on the moon and 60 pounds on Mars. Approximate the angles (to the nearest 0.01) so that the inclined-plane apparatus will simulate walking on these surfaces.

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