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angular momentum of a particle a particle p with mass m is moving such that its position vector has the components x
integrals of a spherical pendulum a spherical pendulum with mass m and length l is shown in figure 260 the angles and
second guldin theorem the volume of a solid generated by the revolution of a plane region about an axis lying in the
attraction of a spherical shell determine the gravitational potential of a spherical shell with inner radius r1 and
attraction of a sphere consider a uniform sphere with radius r and mass m as shown in figure 259 determine the
a moving load on a barge a load m 2000 kg is on the smooth deck of a barge of mass m 8000 kg the load is pulled with
double penduluma using a free-body diagram and the newton method determine the equations of motion of the double
conservative force check determine whether each of the following force fields f is conservative and determine the
impact of a particle in a circle a particle m is fired with initial velocity v0 from the intersection of a circle with
a particle in a cone a particle of mass m slides without friction inside an upside-down conical shell of semi vertical
moment of momentum determine the moment of momentum of m in figure 267 the mass m is attached to a mass less rod with
impact and motion figure 268 illustrates a carriage with mass m that has an oblique surface the carriage can move
projectile impact in figure 274 the particle b is released from rest at time t 0 the particle a is thrown after t 1s
motion in a fluid when a heavy body b of density rhob and volume v is immersed in a fluid of density rhof the weight w
cylindrical-spherical system relationship assume the position velocity and acceleration of a particle are given in a
covariant and contravariant componentsa express the scalar product of two vectors in terms of their covariant and
base vectors of cylindrical coordinate system consider the cylindrical coordinate systema determine the principal base
a homeowner paid 4000 for a solar water heater and received a tax credit of 30 the system saves 450 per year find a
a solar energy system in tampa florida requires two rows of collectors facing south and tilted at a fixed 30deg angle
construct a table of hourly sun angles for the 15th day of each month for a location of your choice also show the
what is the true solar time in sheridan wyoming 107degw at 1000 am mountain daylight time on june 10 what is the true
derive an equation for the lines of constant declination in a sunpath diagram for example figure 212 check your
calculate the incidence angle at noon and 9 am solar time on a fixed south-facing flat-plate collector located at
repeat problem 10c if the surface containing point p faces due west instead of due south for a 40degn locationproblem
prepare shadow maps for point p on the sun-path diagrams for 35degn and 40degn for the three geometries shown in a b