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A simple pendulum, made of a string of length l and a bob of mass m, is released from a small angle 0. It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle 1. Then M is given by

a.

   

b.

   

c.

 

d.

m



Question ID - 50653 | SaraNextGen Top Answer

A simple pendulum, made of a string of length l and a bob of mass m, is released from a small angle 0. It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle 1. Then M is given by

a.

   

b.

   

c.

 

d.

m

1 Answer
127 votes
Answer Key / Explanation : (c) -

Before collision                       After collision

v=         v1 =      

By momentum conservation

m        = MVm − m      

   = MVm

and e=1=

 ( ) = Vm       …(I)

 ( ) = MVm  … (II)

Dividing

 =

By componendo divided

=  =

 =     ⇒ M= m

127 votes


127