Consider the following pendulum that consists of a massless straight rigid rod aob with a point mass m attached at the bottom point a. the pendulum rotates without friction about the point o and it is initially at vertical equilibrium. a spring k is attached at the top point b and sets the pendulum to motion with the application of a vertical displacement input z(t). the spring k is unstretched at t = 0 and the pendulum is vertical. determine the linearized equation of motion of the pendulum about the vertical position

In a heat engine if 1000 j of heat enters the system the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2000 j ?

What kind of simple machine is a catapult?

Place several e-field sensors at a few points on different equipotential lines, and look at the relationship between the electric field and the equipotential lines. which statement is true? 1-at any point, the electric field is perpendicular to the equipotential line at that point, and it is directed toward lines of higher voltages. 2-at any point, the electric field is perpendicular to the equipotential line at that point, and it is directed toward lines of lower voltages. 3-at any point, the electric field is parallel to the equipotential line at that point.