1) What are the components of the solar system and how are they held in orbit around the sun? 2) How and why did the solar system form?

3) How does Earth's tilt relative to the sun lead to seasons?

4) How can a model of the solar system explain eclipses?

Key Terms
Earth's tilt

eclipse

gas cloud

gravity

helium

hydrogen

lunar eclipse

nebular hypothesis

nuclear fusion

seasons

solar eclipse

Solar system

solar system formation

space objects

the Sun
please help me i need to pass this test to help my grade

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.