Question

Dynamics:

17. For the system shown, determine the velocity of block B after it has dropped 1.75 ft. The system is at rest when weight B is dropped and the spring is at its free length. (i.e. unloaded) k = 60 lb/ft 4.0 ft Dia le 20 slug-ft B 2.0 ft Dia 45 lb

Answer 1

Pax ne Aurwer Given For syum shoron belers, the oojective is to detoumine after block B dropped .5 Pt of xhenon belouo Mykem The k6016/et 4.ft Dia slug-ft 2.0 Yef 2 ft Dia 4 5 16 .75 ft is dropped when The sest is at length Pree the sprirg is at and spring domgetion in find Now we Yotated Angle .5 Bo/2 3,5 I.5 Pt ohen meves 45 h in Spring tlomgation x 2 3.5 2. -3.5

ne 2 of block let May velecity 2 VB Then ongulan vedaciy of pultey Ve 2 einetic ene We knew; gnitial potential and oP pobential enarg Final enengy- Potential energy of Spring block B inetic eneray of block +Yotational kinetic wgof puley WB4516. T 20 St 5 32.174 32.14 39864 Substitulehe values in akove equation. 니.35] +½ (139564) (ve)+을 (20) E 60 4 O 22.96g - 7-8 5+ o699 V 2.5

Paye -55-782 + 3.199 V : 3.199 55-78 2 55-82 2 3.199 V 434 4.15 Ft /sec af ter it has dropped 1.75 ft is block B of Velacity Ve = 4 . 195 Pt/ Sec