Re-derive analytically with the intermediate steps and motivate with pictograms the transfor-mations from geocentric right ascension and declination to topocentric right ascension anddeclination and to topocentric azimuth and elevation. Show the hour angle and the siderealtime explicitly in your drawings. Define all terms and variables.

Given that P=120lb and Q=130lb, find the rectangular representation of P+Q.

Briefly describe the use of I and J for the arc center method of circular interpolation.

Convert the following: (a) 400lbft to knm; (b) 6m/s to mi/h; (c) 20lb/in.2 to Pa; and (d) 500slug/in. to kg/m

A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).

Determine Ix for the triangular region shown.

A dimension listed on an engineering drawing is known as the _______ _______.

Given r=4i6j+2km (position vector) F=20i+40j30kN (force vector) =0.8j+0.6k (dimensionless unit vector) compute (a) rF; and (b) rF.

For the quarter circle in Table 9.2, verify the following formulas: (a) Ixy by integration; and (b) Ixy using the formula for Ixy and the parallel-axis theorem.

The grade of a wheel describes its __________ on a scale from __________ to __________.