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Tushar Watts Grade: 12
        


In the arrangement shown, the apppreciable friction exisits only b/w the bodym and the wedge.The frictional coeff being equals to @. The masses of pulley and the thread are negligible. Show that the acc of body m w.r.t the horizontal surface on which the wedge slides is given by


mg / [2m+@m+M]

7 years ago

Answers : (1)

Pratham Ashish
17 Points
										

hi,


fbd of m



fbd of M


let the acceleration of m in horizontal direction be  a, then from fbd.


        N = ma..............................(1)


the acce. of the M will also be a,


so,     T - N = Ma


     T- ma = Ma .....................................(2)


from the constraint of the length of the cord,


    the vertical accel. of  m  will be the same as horizontal one,


balancing the vertical forces on m ,


    mg -T - @ma = ma


   mg -T -ma (@+1)  =0 ......................................(3)


putting T = Ma +ma   from eq. (2)   to (3)    we get,


    mg - (M+m)a - ma (@+1) = 0


     (2m+ M + @m) a = mg


     a = mg /(2m+ M + @m)


 


7 years ago
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