Which is an example of induction?

a. as a balloon is rubbed against a person’s hair, the balloon becomes charged.

b. as a metal rod is held near an object with a positive charge, the rod becomes charged.

c. the air between a metal rod and an object suddenly becomes charged.

d. as a coin is placed on a charged object, the net charge in the object is reduced.

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.