A mass-spring system consists of a mass of 2 kg and the spring has a length of 0.9 m. e of 25.6 Newtons is needed to maintain the spring stretched to a length of 1.1 m. ne the spring is stretched to a length of 1.1 m. and then it is released with some initial y of "0". The task is to find the position of the mass at any time.

A force of 62,125 pounds pulls on a steel rod that has a diameter of 1800 inches. Find the force pulling on 1 square inch of the cross-sectional area. Round the answer to the nearest pound.

A spring has a natural length of 10 feet, and when an 64lb weight is attached, the spring measures 13.2 feet. The weight is initially displaced 4 feet above equilibrium and given a downward velocity of 3 ft/sec. Find its displacement for t>0 if the medium resists the motion with a force of two Ibs for each ft/sec of velocity.

A mass weighing 4 pounds is attached to a spring whose constant is 2 Ib/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 16 ft/s. Determine the time (in s) at which the mass passes through the equilibrium position. (Useg = 32 ft/s? for the acceleration due to gravity.) Find the time (in s) after the mass passes through the equilibrium position at which the mass attains its extreme displacement from the equilibrium position. What is the position (in ft) of the mass at this instant? ft