A body weighing 25 lb is suspended from a spring of constant k = 160 lb /ft. At time t = 0 it has a downward velocity of 2 ft /sec as it passes through the position of static equilibrium. Determine (a) the system period and (b) the maximum acceleration attained by the mass.

A spring with a spring constant of 1200lbf/ft is attached to block with a mass of 96.6lbm horizontally. It was initially displaced 3 inches to the left of the equilibrium position and released at 12in/s going to the right. Determine also the b) velocity 2 seconds after the push in ft/s *

Subject:mec

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 14 ft/s. Determine the time (in s) at which the mass passes through the equilibrium position. (Use g = 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

find the equations of motion using the lagrange equations of motion. The main rod has length l and mass m, the left spring has spring constant k and right spring has spring constant 2k

When Crates A and B of mass ma = 31 kg and mB = 78 kg are released from rest, Crate A moves to the right on a rough surface (u = 0.4 ). The force P = 20 Newtons is always acting on Crate B. The linear spring has a stiffness of k = 490 N and is initially stretched 0.4 meters before the system is released from rest. Neglect the mass of the pulleys and cables and neglect friction in the pulley bearings. Determine the work done by the weight of Crate B (in Joules) when Crate A has moved a distance of 0.8 meters to the right. Consider g = 10 m. 82 B

Answer D, E and F only

Bar AB in the figure rotates counterclockwise with a constant angular velocity of 2.5 rad/s. If all of the bars have a unit mass of 2 kg/m, determine the total kinetic energy of the system in the position shown.

The controlling force F (in N) and r the radius of rotation r (in mm) for a spring loaded governor are related by the expression F = 6r - 144 Each ball has a mass of 20 kg and the extreme radii of ball rotation are 150 mm and 240 mm respectively. The minimum equilibrium speed is

3: A 24 lb weight stretches a spring 6 feet. The weight hangs vertically from the spring and a damping force numerically equal to 2√√3 times the instantaneous velocity acts on the system. The weight is released from 3 feet above the equilibrium position with a downward velocity of 14 ft/s. (a) Determine the time (in seconds) at which the mass passes through the equilibrium position. (b) Find the time (in seconds) at which the mass attains its extreme displacement from the equilibrium position.