practice - kg being supported by a cable connected to the...

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1. Suppose we have a binary star system with two stars of mass m 1 and m 2 orbiting about each other. Their orbits are circles of radii r 1 and r 2 centered on the center of mass of the system. (a) Sketch out the two orbits on a single diagram. Do not forget to label the center of mass and radii of both stars. What is the direction of motion for each star? (b) Calculate the magnitude of the gravitational force of m 1 on m 2 . (c) Calculate the magnitude of the acceleration of each respective star. (d) What is the orbital period of the binary system in terms of r 1 , r 2, m 1 , m 2 and G ? 2. Suppose we have a uniform beam of with mass
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Unformatted text preview: kg being supported by a cable connected to the beam a distance L = 5.0 m from the wall, at an angle of as shown in the diagram below. The beam is screwed onto the wall with a force F exerted by the wall on the beam. Now, we put an object of mass kg on top of the beam at a distance d = 1.0 m from the wall. (a) Construct a free-body diagram for the beam. (b) Construct equations for the static equilibrium for the beam. (c) What is the tension in the cable? (d) What is the horizontal and vertical components of the force that the wall exerts on the beam?...
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