Question

Q4-5: A collar of weight 10 lb slides along a frictionless rod in the vertical plane. The spring attached to the collar has an unstretched length of 14 in. and stiffness of 4 lb/in. If the collar is released from rest at the instant shown low, find the contact force the rod exerts on the collar at points A and B, both on the curved portion of the rod. k=41b/in. w 14 in. 14 in. 14 in. - 14 in.--

Answer 1

Apply the energy balance equation at initial position and point A and obtain velocity at A.

Apply the energy balance equation at initial position and point B and obtain velocity at B.

Draw the free body and kinetic diagrams of collar at A and B and apply equation of motion.

nih'a bo srlon 4A0 31.30 s in. +J4 ,- lo 31-305 - 141.30S in Stretch, PE o pring po sihon () at ( K 2 2 S48.92 1b.in (v) Sa2.92 b in t /2 ir +१.१। lb - rom geome ty: V 142 414 -19.799 in. 14.199 14 - S.799 in PC pring at A- () k 4x5199-64-254- t6ihx It 12 in 5.60s 1b. t 14+1428 - 28-14 14 in PE fring K at B 4X4- 342 in lbx t 12 in 32.667 t.1b

potentia enY Net bositon 1: ).). Net PE at A. C)..) S 60s -t 5.605t0 Net PE at B 32.664 +W9 32 C67-(10x1 21 b.t KEat positon1: T O KE at A T 2 D615528 VA KE at B TR = B 32:2 0.15528 V Pytonseuration T+TA A: 0+ 49.910.1ss28 2 t5 05 16 89

Tt 2 b th9.91 6S528 + 2) . 64 Accelirator lamponcats 16.9a 28s.30l 2 (o-)- 2 2 44.56 () 1412 82 2. V 2 13.64 I59 58 82 1 (14/2 Spring fes 23-19C2) Akp45199 414 56 Lb (1) FBD at A NP m We 2N ma,) NtND-FASin 45 - m)n lo +N-23.1968n4s-lo 22445 NA =82.4

Tt 2 b th9.91 6S528 + 2) . 64 Accelirator lamponcats 16.9a 28s.30l 2 (o-)- 2 2 44.56 () 1412 82 2. V 2 13.64 I59 58 82 1 (14/2 Spring fes 23-19C2) Akp45199 414 56 Lb (1) FBD at A NP m We 2N ma,) NtND-FASin 45 - m)n lo +N-23.1968n4s-lo 22445 NA =82.4