Help with FRQ.

FRQ - the horizontal spring (20 points) Two identical masses of mass M are attached to an ideal spring positioned horizontally on a frictionless surface, as shown below. The system is stretched to the right a distance x, and released to oscillate in simple harmonic motion. A motion sensor is used to capture the velocity-time graph of the oscillating masses. The graph of this motion is shown below. Tvelm's - sinx 1. S - 4. 5 : 6 - NW 9 95 10 10.5 . time /'s a) Determine the time period, 7, the angular frequent, @, the amplitude of the displacement, x. , and the maximum acceleration, a , of the oscillating system. T= 6 seconds T= 1 6. 215 X = Acos (wt ) W W : - wot : 2TT W : 215 IT A = 1 Aw ? 3 b ) 9 . = ( ) of time. i) Write the expression, using values from a) above, that describes the position of the system as a function v ( t ) = - sinx p(t ) = -cosx I pos m ii) Draw the position-time graph on the axes below. Annotate the axes with appropriate values. -time is CS Scanned with CamScannerID: E Name: c) i) Write the expression, using values from a) above, that describes the acceleration of the system as a function of time. v ( ( ) : - sinx all ) : cosx ii) Draw the acceleration-time graph on the axes below. Annotate the axes with appropriate values. 10 Al time is The force constant for the spring is known: A = 24.0 N/m. d) i) Calculate the maximum kinetic energy of the oscillating masses. z kaz = 2 ( 24 ) ( 1)2 = 12kts ii) Plot a graph of kinetic energy as a fuction of time. Annotate the axes with appropriate values. TKU -time / below. Later, when the system is again at maximum position, one of the masses is detached, as shown in the diagram e) reasoning. i) Describe the effect that this loss of mass has on the total mechanical energy of the system. Explain your There is no relation between mass and mechanical energy ii) What effect does this loss of mass have on the time period of the oscillation? Explain your reasoning. the period will decrease CS Scanned with CamScanner