Consider the objects on the coordinate grid: a rod with m, = 6.25 kg, a right triangle with m, = 32.0 kg, and a square with m, = 6.55 kg. Calculate the center of gravity for the system. Assume the objects are uniform. (Give the coordinates of the center of gravity in m.) у (m) |(9, 7) (-5, 5) - (2, 7) (8, 5) (-2, 2) (4, 1) !x (m) Show hide x-coordinate m y-coordinate m Need Help? Read It
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- A object of mass 3.00 kg is subject to a force F, that varies with position as in the figure below. Fx (N) A coordinate plane has a horizontal axis labeled x (m) and a 4 vertical axis labeled F, (N). There are three line segments. The first segment runs from the origin to (4,3). The second segment runs from (4,3) to (12,3). The third segment runs from (12,3) to (17,0). 2 x (m) 2 4 6 8 10 12 14 16 18 20 (a) Find the work done by the force on the object as it moves from x = 0 to x = 4.00 m. (b) Find the work done by the force on the object as it moves from x = 4.00 m to x = 12.0 m. (c) Find the work done by the force on the object as it moves from x = 12.0 m to x = 17.0 m. (d) If the object has a speed of 0.600 m/s at x = 0, find its speed at x = 4.00 m and its speed at x = 17.0 m. speed at x = 4.00 m m/s speed at x = 17.0 m m/s 3,A painter (of mass 75 kg) needs to reach out from a scaffolding to paint the side of a building, so he lays a plank across two bars of the scaffolding, and puts a heavy bucket of mass 72 kg directly over one of the bars (see figure). You can assume the plank is massless, and is long enough to reach to the other building. If the bars are separated by a distance 2.6 m, how far, d, from the bar on the the right can the painter walk before the plank starts to fall? d =Consider the objects on the coordinate grid: a rod with m, = 5.25 kg, a right triangle with m, = 36.0 kg, and a square with m, = 4.45 kg. Calculate the center of gravity for the system. Assume the objects are uniform. (Give the coordinates of the center of gravity in m.) у (m) (9, 7) (-5, 5) (2,7) (8, 5) mo (-2, 2) (4, 1) x (m) x-coordinate y-coordinate m
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