Question

You are observing a shaker apparatus which consists of a large block resting on a slippery surface with smaller block sitting atop of the larger block. The large block is attached to a spring and is set in simple harmonic motion. You can measure the period of this motion using a stopwatch. You wonder how big an amplitude of motion is possible before the small block starts to slip on the larger block given that you know the coefficient of static friction between the two blocks. Make sure to express your answer in terms of the known quantities and any other fundamental constants.

Answer 1

Solutions The diagram is given below. m Soum motion can be given by x= A cos wr a differentiating wort time we get VE-Awa Sinul a=- Aw?coswr amax=- AW2 when wrzo] From the frame of refrence of M we can observe an f m ma max ire. - mamax of ma max = 4x mg amax = ls g = Aw? Msg => A= Ms Work amak 1 W2 - Ms mg Answeg Scanked with CamScanner