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      physics
      mechanics
      Easy

      Question

      A space b l o c k space i s space r e l e a s e d space o n space t h e space c o n v e x space s u r f a c e space o f space a space h e m i s p h e r i c a l space w e d g e space a s space s h o w n space i n space
f i g u r e. space D e t e r m i n e space t h e space d i s p l a c e m e n t space o f space t h e space w e d g e space w h e n space t h e space b l o c k space r e a c h e s space t h e space a n g u l a r space
p o s i t i o n space theta.

      1. negative fraction numerator m R sin theta over denominator m plus M end fraction
      2. fraction numerator 2 m R sin theta over denominator m minus M end fraction
      3. fraction numerator m R sin theta over denominator m plus M end fraction
      4. fraction numerator m R sin theta over denominator m minus M end fraction

      The correct answer is: fraction numerator m R sin theta over denominator m plus M end fraction


        table attributes columnalign left end attributes row cell m subscript 1 capital delta x with rightwards arrow on top subscript 1 plus m subscript 2 capital delta x with rightwards arrow on top subscript 2 equals 0 end cell row cell m left parenthesis R sin theta minus right parenthesis minus M x equals 0 end cell row cell x equals fraction numerator m R si theta over denominator m plus M end fraction end cell end table

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