Question

A 3 lb*f collar is attached to a spring and slides without friction along a circular rod which lies in a horizontal plane. The spring has a constant k = 1.5 lbf/in and is undeformed when the collar is at B. If the speed of the collar is 6 ft/s when it passes through point D, determine the speed of the collar (in ft/s) as it passes point B.

Please include four significant figures in the final answer.

Thank you very much! :)

A 3 lbf collar is attached to a spring and slides without friction along a circular rod which lies in a horizontal plane. The spring has a constant k = 1.5 lbf/in and is undeformed when the collar is at B. If the speed of the collar is 6 ft/s when it passes through point D, determine the speed of the collar (in ft/s) as it passes point B. Tc 3 lb WWW B D 12 in. 5 in.

Answer 1

Answer:

1 . 3lb wur B D sind 12in =) Lp = 12ts=17in = 13 in Le = √² + 12² LB = 125=7 in -> w g 3 32.2 = 0.0932 lb. s21 fut -Principle of conservation of energy, Tetve = Toto here, Tp = + mvor= Ž x 0.0932 x (6) 2 To = 1.68 ft. Vo = txtr5 (17) 12 - 18.06 lb-ft 2 = 10.5625 tb-ft Vc = *1.5*(3) 12 Te = 170.09324 v 2 = 0.0466 VC 2 Vc = 10.5625 + wh 10.5625+ 3x Vc = U-8/25 lb-ft foom ean@ OOO466 Vc? + 11.8125 = 1.08 + 18.06 v² = 184.8712 v = 13.5 ftls

2 > Forem consewation of energy, TB TV B = To TVD - To £80.0932 X VB 0.0466 VAZ VB = +/-x 1.57 +(3x0) = 3.0625 lb-ft 2 - B from ean 0.0466 182 +3.0625 1. 68 +18.06 2 VB = 357.8862 I UB VB = 18.91 fals