An 8-kg mass is attached to a spring hanging from the ceiling and allowed to come to rest. assume that the spring constant is 40 n/m and the damping constant is 4 n-sec/m. at time =0, an external force of =4cos(+) is applied to the system. formulate the initial value problem describing the motion of the mass and determine the amplitude and period of the steady-state solution.

In a system, when potential energy decreases, then entropy also decreases. true false

The coulomb's law explains which of the following? select all the force between two charged objects is inversely proportional to the charge on each object. the force between two charged objects is directly proportional to the charge on each object. the force between two charged objects is directly proportional to the distance separating them. the force between two charged objects is inversely proportional to the square of the distance separat coulomb's law is similar to newton's 2nd law. if the force between two objects is f and the charge on both objects is doubled, the new force between the would now be 2f. if the force between two objects is 2f and the distance separating them is doubled, the new force between the objects would now o the be zf.

The system is released from rest with the cable taut, and the homogeneous cylinder does not slip on the rough incline. determine the angular acceleration of the cylinder and the minimum coeffi cient s of friction for which the cylinder will not slip.