Problem 14: Suppose an object weighing 64 pounds stretches a spring 8 feet. If the object is attached to the spring and released 5 feet below the equilibrium position from rest, find the equation of motion of the object, x(t). Problem 15: The voltage V in an alternating current source has amplitude 110N2 and ordinary frequency f=

High-speed elevators function under two limitations: (1) the maximum magnitude of vertical acceleration that a typical human body can experience without discomfort is about 1.2 m/s², and (2) the typical maximum speed attainable is about 8.8 m/s. You board an elevator on a skyscraper's ground floor and are transported 190 m above the ground level in three steps: acceleration of magnitude 1.2 m/s² from rest to 8.8 m/s, followed by constant upward velocity of 8.8 m/s. then deceleration of magnitude 1.2 m/s² from 8.8 m/s to rest. T Part A Determine the elapsed time for each of these 3 stages. Express your answers using two significant figures separated by commas. tace, tconstant, tdec = Submit Part B AFN,acc AFN,constant FN FN Submit Request Answer 2 [5] ΑΣΦ Determine the change in the magnitude of the normal force, expressed as a % of your normal weight during each stage. Express your answers using two significant figures separated by commas. 2 AFN,dec FN Request Answer Part C Complete…

A force of 15 Newtons stretches a spring 20 centimeters. After a 3 kilogram mass is attached to the spring, the mass is pulled down to a position √3 meters below equilibrium and released with an upward velocity of 5 meters per second. Find a. The equation of motion. b. The amplitude, period, and phase shift of the simple harmonic motion.

A mass weighing 16 pounds is attached to a spring, stretching it 2 feet. A damping mechanism provides a resistance numerically equal to b times the instantaneous velocity. The mass is pulled down 1 foot below equilibrium and released from rest. a. Find the equations of motion for b = 3, b = 4, b = 5. b. Determine if each system is underdamped, critically damped, or overdamped.