A mass is attached to a spring with stiffness . The mass is displaced to the right and given outward (to the right) velocity of . Neglect the resistance of the medium. Determine the equation of motion of the mass along with its amplitude, period, phase, and natural frequency. How long after release does the mass pass through the equilibrium position?

The force it would take to accelerate an 900-kg car at the rate of 6m/s2

How is an electron dot structure used to represent a covalent bond?

Industrial processes often require the damping of vibrations. consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 47500 n/m. this workbench is used when creating products that involve highly unstable chemicals. according to specifications, the acceleration of the manufacturing equipment must be held to less than 22.3 m/s2 for the manufacturing process to proceed safely. the amplitude of vibrations are expected to remain under 0.622 mm throughout. given that the workbench and maufacturing equipment combine to 6.05 kg, find the maximum acceleration expected of the equipment and workbench. (ignore the mass of the springs.)