A water wheel with radius = 1.8 m and mass = 1.3 x 10³ kg is used to power a grain mill next to a river. Treat the water wheel as a hollow cylinder. The rushing water of the river rotates the wheel with a constant frequency fr = 1.4 Hz.
= 1.7m
= 17x 10³ kg
= 2.2 Hz
Calculate the angular velocity aw of the water wheel in radians/sec.

How is sound energy produced a. vibrating objects b. objects being heated c. temperature differences d. stationary objects

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.

How many neutrons does element x if it’s atomic number is 28 and its mass number is 87