Questions
Starting from the origin a body oscillates simple harmonically with period of 2 s. After what time will its kinetic energy be 75% of the total energy
detailed solution
Correct option is A
The kinetic energy of a body undergoing S.H.M. is given by K.E. =12mÏ2A2cos2â¡Ït or (K.E.) max=12mÏ2A2According to given problem K.E.=(75/100)(K.E.)maxâ´ 12mÏ2A2cos2â¡Ït=7510012mÏ2A2 or cosâ¡Ït=±3/2 or Ït=Ï6 or 2ÏTÃt=Ï6 or t=T12=16sSimilar Questions
One end of an ideal spring is connected with a smooth block with the other end with rear wall of driving cabin of a truck as shown in figure. Initially, the system is at rest. If truck starts to accelerate with a constant acceleration ‘a’ , then the block (relative to truck ):
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