1. A pendulum is made from a thin homogeneous metal plate cut into an equilateral triangle. What is the frequency of small oscillations if the plate is suspended by one vertex? What is the frequency for the same plate suspended at a midpoint of one of the edges? For both cases assume that the oscillation is in the plane of the plate.

Which of the following is an example of motion in two dimensions?

(1 point) match the differential equations and their vector valued function solutions. you may wish to multiply at least one solution out fully, to make sure that you know how to do it. you can get the other answers quickly by process of elimination and just multiply out one row element.

(2) (a) you have a simple circuit that consists of only a battery (δvbat=1.5v) and two resistors with resistance r1=10ω and r2=5ω, connected in series with each other. what is the current running through the battery? (b) you re-arrange your circuit so now r2 is attached in parallel to r1 rather than in series. what is the current running through the battery? (c) you add an additional resistor r3=7ω on the same branch as r2. what is the current running through the battery? (d) what is the power dissipated in r3?