d 8.4 kg 6.4 kg In the system shown above, the pulley is a uniform disk with a mass of 0.35 kg and a radius of 7.25 cm. There is no friction between the 8.4 kg mass and the horizontal surface, and the rope does not slip on the pulley. The system is released from rest. Use work-energy principles to determine the kinetic energy of the (a) 6.4 kg mass and (b) the pulley after the 8.4 kg mass has moved 2.3 meters. a. K6.4 kg b. Крulley J
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- Energy conservation with conservative forces: A very small 100-g object is attached to one end of a massless 10-cm rod that is pivoted without friction about the opposite end. The rod is held vertical, with the object at the top, and released, allowing the rod to swing. What is the speed of the object at the instant that the rod is horizontal? 1.8 m/s 1.4 m/s 0.71 m/s 2.8 m/s 4.0 m/s fbbspherical R a vertical axis on frictionless bearings (see the figure above). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object when it has fallen a distance d after being released from rest? Use energy considerations. NOTE: Eoncono au ome of andA cart rolls along a frictionless track. A graph of its potential energy vs position is shown below.a). Mark on the graph any points of stable equilibrium. If there are no stable equilibria, simply write “none.”b). What is the direction of the force when the cart is at x = 80m?Show all work, please and thank you!
- I am unsure where to start on this problem how do I do it?A slender metal rod has a mass MM and length LL. The rod is first rotated about a perpendicular axis through its center with an angular velocity ωω (see figure (a) below). It is then rotated about a perpendicular axis through its end at the same angular velocity (see figure (b) below). Part A Find the ratio of the kinetic energy of the first case to that of the second case. Express your answer using three significant figures.A hollow cylinder (hoop), a solid cylinder (disk), and a solid sphere, each of mass M and radius R, roll down a hill of height h. Rank the objects based on their total kinetic energy at the bottom of the hill. Rank the one with the most energy 1, etc. If two are equal, give them the same ranking. hoop___________ disk_______________sphere_______________Justify your ranking
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