1 answer

Please show work Two particles of m_1 and m_2 are connected by a light, inextensible string...

Question:

Problem 7 A Two particles Mof mu and m, are connected by a light, inextensible string of total of mass length L, which passes through a smooth hole in a smooth horizontal table. The mass m2 is suspended below the table, and the mass m moves in a circular motion on the table with an initial distance Ro from the hole. A gravitational field g acts on this system. The mass mi starts out with speed vo on the table initially at right angles to the string. (a) Find, but do not solve, the equations of motion for mi and moves only m2, if m in a vertical line (b) Assume initial conditions were such that equilibrium nearly held and solve for the equilibrium distance Re, when R-0. Solve the equations of motion for small departures from equilibrium. Describe this motion. Please show work
Two particles of m_1 and m_2 are connected by a light, inextensible string of total of mass length L, which passes through a smooth hole in a smooth horizontal table. The mass m_2 is suspended below the table, and the mass m_1 moves in a circular motion on the table with an initial distance R_0 from the hole. A gravitational field g acts on this system. The mass m_1 starts out with speed v_0 on the table initially at right angles to the string. (a) Find, but do not solve, the equations of motion for m_1 and moves only m_2, if m_2 moves only in a vertical line. (b) Assume initial conditions were such that equilibrium nearly held and solve for the equilibrium distance R_e, when R = 0. Solve the equations of motion for small departures from equilibrium. Describe this motion.

Answers

2 2 dtdi2 d l- v2 Ro n 2 2.

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