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Read very important 2md Law Problem (based on Problem S-4, page 100-101, form th

ID: 2288800 • Letter: R

Question

Read very important 2md Law Problem (based on Problem S-4, page 100-101, form the HRW textbook) The experiment shown in Figure 1 can be modeled by applying Newton's 2nd law to the two objects, the glider (with mass M) and the hanging mass (with mass m). The force diagram for the two objects i shown in the figure below. Notes: - in the analysis below the friction between the glider and the airtrack is neglected. the hanging mass m includes both the mass of the hanger/removable masses as well the mass of the below the pulley portion of the string used to connect the mass M with the hanger. on x: Ony: T=Ma FN-Mg=0 Ony: mg-T=ma Using the equations (3) and (5) the acceleration a of the system can be determined as a function of the hanging mass m, the mass of the glider M and the gravitational acceleration g: a= VERY IMPORTANT-before you come to the lab you will have determine the correcet equation (6) for the acceleration a. You will have to show your work and the formula for a to your TA before you to determine the formula for a during the lab, you might not have time to finish the lab and starting the lab. Failure to do so will result in lost points for the lab. Also be advised that it

Explanation / Answer

There two equations obtained by using Newtons second law for both objects.

T=Ma...........3

and      mg-T=ma.......4

            putting eq3 in eq4 and eleminating T from eq4, we get

     mg-Ma=ma

      mg=ma+Ma

       mg=(m+M)a

or     a= mg / ( m+M)

         This is the required value of a.