1 Properties of SHM At t = 0 seconds a 500 g block oscillating on a spring is observed moving to the right at x = 15 cm. It reaches a maximum displacement of 25 cm at t = 0.30 seconds. Problem 1.1. What is the phase constant of the motion? Problem 1.2. What is the angular frequency of the motion? Problem 1.3. Draw a position-versus-time graph for one cycle of the motion.

An object moves in simple harmonic motion described by the equation d=4 cos t, where t is measured in seconds and d in inches. Find the following. a. the maximum displacement b. the frequency c. the time required for one cycle a. in. b. cycles per second C. Enter your answer in the answer bos Save for Later Type here to search

10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below itsequilibrium position. After release, the block makes one complete up-and-down cycle in 2seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? d. Write a function to model the displacement ? (in inches) as a function of the time ? (in seconds) after release. Assume that a displacement above the equilibrium point is positive.e. Find the displacement of the block and direction of movement at ? = 1 sec.

A spring with spring constant 18.0 N/m hangs from the ceiling. A 510 g ball is attached to the spring and allowed to come to rest. It is then pulled down 7.80 cm and released. Part A What is the time constant if the ball's amplitude has decreased to 2.60 cm after 53.0 oscillations? Express your answer with the appropriate units. HA Value Units