1. Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lecture 40

2. Simple harmonic oscillator

3. The forces No force Force in –x direction Force in +x direction

4. More Detail Time

5. Some Terms Amplitude: Max distance Period: Time it takes to get back to here

6. A block with mass m is attached to the end of a spring, with spring constant k. The spring is stretched a distance L and let go at t=0 Find the position of the mass at all times Where does the maximum speed occur? What is the maximum speed?

7. If the block is pulled a distance x 1 to the right and released from rest, how long will it take the block to return to its equilibrium position? How does this time change if the displacement is increased from x 1 to 2x 1 ? How fast will the block be moving at its equilibrium position for the x 1 displacement?

8. A bullet of mass m is fired with velocity of magnitude into a block of mass M. The block is connected to a spring constant k and rests on a frictionless surface. Find the velocity of the block as a function of time. (Assume the bullet comes to rest infinitely quickly in the block, i.e. during the collision the spring doesn’t get compressed.)

9. Simple pendulum How long does it take to return to the equilibrium?