Question

A particle that hangs from a spring oscillates with an angular frequency of $2rad/s$. The spring particle system is suspended from the ceiling of an elevator car and hangs motionless (relative to the elevator car) as the car descends at a constant speed of $1.5m/s$. The car then stops suddenly. What is the equation of motion for the particle is $x=-0.75\sin xt$. Find the value of $x$.

• A. $1$
  
• B. $2$
  
• C. $3$
  
• D. $5$
  

Answer 1

The correct option is B $2$

The given equation of motion of particle suggests that particle is in simple harmonic motion. Therefore by comparing it with $x=Asin\omega t$
$x=\omega =2$