Suppose a pulse of light is emitted by a source at an angle a = /2 and frequency w in a frame of reference that is stationary with respect to the source (see figure 1 in part iii of the notes for definition of the angle). the observer is stationary in a reference frame that is boosted by v = -0.5 in the x-direction with respect to the source frame. what frequency w' will the observer find the light pulse to have.

Compare the horizontal displacement of the two balls as they travel to the ground. what do you observe?

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.

The chart shows daniela’s run through her race. what is her velocity? 1.5 m/s 2 m/s 2.5 m/s 5 m/s