Problem a: On a frictionless surface, m A , m B bodiesare accelerated together (

Question

Problem a:

On a frictionless surface, mA, mB bodiesare accelerated together (i. e. their accelerations are the same,see the enclosed figure). A force F acts on thebody mA. Determine the acceleration of the bodies;Calculate the force acting on mB!

Problem b.

The most simple acceleration sensor is shown in the figure (abody with mass m is suspended on a string): give the a(a) function!Prepare the graph of a(a) by means of EXCEL!

Explanation / Answer

a) if A exerts a force f on B, then B exerts a force -f on A. equation of motion for A: F-f = amA equation of motion for B: f = amBF=a(mA + mB ) a = F/(mA + mB ) f = amB = FmB/(mA +mB ) b) if T=tension anf =vertical angle of string, mg = T cos >>> T = mg/cos ma = T sin = mg tan a = g tan so you measure to get acceleration a.

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