Question

Chapter 3, Problem 3/119 The two springs, each of stiffness k = 1.17 kN/m, are of equal length and undeformed when e = 0. If the mechanism is released from rest in the position = 34°, determine its angular velocity when = 0. The mass m of each sphere is 2.7 kg. Treat the spheres as particles and neglect the masses of the light rods and springs. m 0.26 m m rad/s Answer:

Answer 1

Given thal Stiffnew of the spaing (K)- 1.17K/m. ернal A0 o0 the two Sp^ings аяе unde fomed dength and 0- 34 the defatmation OCLUT. AH mas of Eadh sphere m): 2.1 Undefmed lungth o): J.2)-21 о. 368 m fromthe law of (osines 34 |(0.26) (0.36)2 (a 26)(0-26) (o{30-34) O. 244 m 2 26C0.26)-2(0.2c0.26) Cos(70+34 o.459 m de famations ate The o.091 m

from work- Cnergy equaHon t AVe AT+ The ini tial ard inal kine ic energies ate To 0 2- Grautaional Potential energies aHe m o26)in3-mg Co-) cos(3) Sinkary ma (o.26) Co 26) cos(au ) 2.x9.i Co-26) os(3v C2.79.81) (0-26) mg (o.26) > V2 - 6.88 J The iniHal and fimal elaytic Spai tential 2 enexgies IK,+L ki Ve, aHe 2.

Ve, 4. 844 39 8.99496+ Ve, 13. 84 J Ve,2 U-2ATA+ A -0 -o - 6.88-(-5-71)+0 - (13-84)- o. 2. O 2740 6.88-5.71+ 13-84 5.o o 274 IS O o.24 54. 8 .40 ad s ) = Argalay velo