The position of a particle of mass m moving freely in two dimensions in an inertial cartesian coordi- nate system is given by (xy). write down the particle's kinetic energy t(xý) and the equations of mo- tion. generalized coordinates qi (x, y, t) and q2 (x, y, r) are defined by 4-xcosot + ysinar -xsin cot + ycosot where co is a constant. write down the inverse transformations, x(1.42,t) and y(g1.9) and hence find an expression for t(4,.iz) in the new coordinates. obtain the equations of motion in the new coordi- nates (including the generalized forces qi and q2). identify the extra terms that appear, in terms of so- called "fictitious forces".

This problem has been solved! see the answera non-uniform fire escape ladder is 6.0m long whenextended to the icy alley below. it is held at the top by africtionless pivot, and there is neglibible frictional force fromthe icy surface at the bottom. the ladder weighs 250n, and it'scenter of gravity is 2.0m along the ladder from the bottom. amother and child of total weight 750n are on the ladder 1.5m fromthe pivot. the ladder makes an angle θ with the horizontal.find the magnitude and direction ofa) the force exerted by the icy alley on the ladderb) the force exerted by the ladder on the pivotc) do your answers in part a and b depend on the angle?

Aknife blade is a(n) a. lever b. screw c. wedge d. inclined plane

Acapacitor is storing energy of 3 joules with a voltage of 50 volts across its terminals. a second identical capacitor of the same value is storing energy of 1 joule. what is the voltage across the terminals of the second capacitor?