The fi gure shows a portion of a plate cam used in the design of a control mechanism. The motion of pin P in the fi xed slot of the plate cam is controlled by the vertical guide A, which travels horizontally at a constant speed of 6 in. /sec over the central sinusoidal portion of the slot. Determine the normal component of acceleration when the pin is at the position x = 2 in.

Materials will have different energies associated with the electrons inside them. this is related to how strongly bound they are by their work function. if we sandwich a material with a very low energy between two materials with a high energy, we create a trap for an electron. if this trap is very narrow in one direction in comparison to the others, this is approximately a 1-dimensional box that confines the electron. what is the lowest energy of an electron in the box if the thinnest direction across the materials is 4.81 nm?