an atwood machine is constructed using two
wheels (with the masses concentrated at the
rims). the left wheel has a mass of 2.5 kg and
radius 22.2 cm. the right wheel has a mass
of 2.7 kg and radius 27.49 cm. the hanging
mass on the left is 1.59 kg and on the right
1.24 kg
m
mz
what is the acceleration of the system?
the acceleration of gravity is 9.8 m/s.
answer in units of m/s.

The roller coaster from problem #1 then tops a second hill at 15.0 m/s, how high is the second hill? 91.5 m 79.2 m 80.0 m 68.5 m

A2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kn. what is the frequency of the fundamental mode of vibration of this wire?

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.