Consider a ball on a smooth surface with springs attaching it to fixed points on either...

 

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Consider a ball on a smooth surface with springs attaching it to fixed points on either side of it, along the x-axis. The displacement x of the ball in metres from its equilibrium position at time t in seconds after being set in motion is given by the equation below: x(t) = 0.10 sin[(2.0 s)t + /2] m (a) What is the acceleration of the ball's oscillation about its equilibrium position? (b) What was the acceleration of the ball at the moment it was set in motion (t = 0)? Consider a ball on a smooth surface with springs attaching it to fixed points on either side of it, along the x-axis. The displacement x of the ball in metres from its equilibrium position at time t in seconds after being set in motion is given by the equation below: x(t) = 0.10 sin[(2.0 s)t + /2] m (a) What is the acceleration of the ball's oscillation about its equilibrium position? (b) What was the acceleration of the ball at the moment it was set in motion (t = 0)?

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Solution a Acceleration of the ball To find the acceleration we need the second derivative of the di... View the full answer