First slide
Applications of SHM
Question

A block of mass m is projected towards a spring with velocity  . The force constant of the spring is K. The block is projected from a distance  from the free end of the spring .The collision between block and the wall is completely elastic. Match the following columns

Column – I                                                                                         Column - II 
A) maximum compression of the spring                                 P)  KV02m
     
B) Energy of oscillations of block                                              Q)  mV02k
C) Time period of oscillations                                                     R) 12mV02
D) maximum acceleration of the                                               S)  2lV0+πmk
 

Moderate
Solution

12Kx02=12mV02 x0=mV02K

Time period  T1=2T4+2t=2π2mK+2l0V0
Energy of oscillations =  12mV02

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