Question

two particles execute $SHM$ on same straight line with same position,same time period $6$ second and same amplitude $5cm$. Both the particle start $SHM$ from their mean position (in same direction) with a time gap of $1sec$. Find the maximum separation between the two particles during their motion:

• A. $2cm$
• B. $3cm$
• C. $4cm$
• D. $5cm$

Answer 1

The correct option is A $2cm$

Given,

Two particles executes SHM on same straight line with same position

Same time period $=6s$

Same amplitude $=5cm$

Both the particle starts SHM from their mean position(in same direction)

Time gap$=1sec$

Finding maximum

separation between the two particles during their motion

$T=2\pi \sqrt{\frac{l}{g}}6=2\pi \sqrt{\frac{l}{10}}(\frac{3}{\pi }{)}^2\times 10=ll=\frac{10}{5}=2cm$