ANSWERS. i; 9 



(10) v l = 20 ft. per second, nearly; angle = 20^. 



( 1 1 ) The relative velocity of P 2 with respect to J\ must always pass 

 through P lt The locus of Q is a circle. 



(12) A cycloid. 



(13) About 20". 



Page 79. 



(4) 233! ; 24! ; 933^ ft. per minute. 



(5) 16.6 knots; 560 ft. per minute. 



(6) 55; 66; 2 | in. 



(7) 0.174, 0.119, 0-146 of the stroke. 



Page 85. 



(2) By(2),Art. i59,/ n 



(3) By Art. 159, j n j sin i// = v*/p ; hence v 2 =/ p sin if/. 



(4) Since j is directed towards A, taking A as origin, we have 



JQ = o, i.e. r- = const. ; comp. Art. 135. 

 / 



(5) = eo = const., r = const. ; hence, by (6), Art. 161, j=j r 

 at 



= -r<J. 



(6) /=no 2 . 



Page 86. 



(i) (a) 1718 ft. above the point ; () after 2 m. 52 s. ; (c) 1891 ft. ; 

 (d) 21.2 miles an hour. 



(4) 45- 



(7) Construct a circle having the given point as its highest point 

 and touching (a) the straight line, (b) the circle. 



Page 90. 



(9) (a) 1 74ft.; (b) in about 8 seconds; (c) 254 ft. per second, 

 inclined at an angle of about 5 to the vertical. 



(10) 227 ft. per second. 



