A particle is executing simple harmonic motion with a time period . At time , it is at its position of equilibrium. The kinetic energy-time graph of the particle will look like:
Step 1. Given data
A particle is executing simple harmonic motion within a time period .
Step 2. Kinetic energy time-graph
Position of a particle executing SHM,
[ is angular frequency, is time]
Velocity function, [ is velocity]
Kinetic energy,
Step 3. Check the kinetic energy at
But, at , [ is time period of the particle]
Step 4. Check the kinetic energy at
at ,
is maximum
Step 5. check the kinetic energy at
at ,
is maximum
Hence, option is correct.