A 150 g mass is hung from a massless vertical spring, causing the spring to stretch by 10 cm and come to rest. The mass is then displaced from its equilibrium position by 5 cm and released. (g=9.8 m/s/s) a. What is the period of the resultant motion? b. What is the maximum speed of the mass during its motion?

A weight is suspended from a spring and is moving up and down in a simple harmonic motion. At start, the weight is pushed up 7 cm above the resting position, and then released. After 15 seconds, the weight reaches again to its highest position. a. Find the equation of the motion b. How high is the weight with respect to the resting position after 20 seconds since it was released.

B and C only

Near the top of the Citigroup Center building in New York City, there is an object with mass of 3.2 × 105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven—the driving force is transferred to the object, which oscillates instead of the entire building. A. What effective spring constant should the springs have to make them oscillate with a period of 2.2 s in N/m?  B. What energy is stored in the springs for a 1.4 m displacement from equilibrium in J?