Amass of 20 g stretches a spring 5 cm. suppose that the mass is also attached to a viscous damper with a damping constant of 400 dyn·s/cm. if the mass is pulled down an additional 2 cm and then released, find its position u at any time t. plot u versus t. determine the quasi frequency and the quasi period. determine the ratio of the quasi period to the period of the corresponding undamped motion. also find the time τ such that |u(t)| < 0.05 cm for all t > τ.

All the simple machines make work easier to do by changing the or of a force. a. size; type b. work; type c. size; direction d. type; direction

(**i would really appreciate if this was answered soon** ) which pair of quantities includes one quantity that increases as the other decreases during simple harmonic motion?

Aperson gives a shopping cart an initial push along a horizontal floor to get it moving, and then lets go. the cart travels forward along the floor, gradually slowing as it moves. consider the horizontal force(s) on the cart while it is moving forward and slowing. which of the following statements is correct? (a) both a forward and a backward force are acting on the cart, but the forward force is larger. (b) only a forward force is acting which diminishes with time. (c) both a forward and a backward force are acting on the cart, but the backward force is larger. (d) only a backward force is acting, no forward force.