EQUILIBRIUM OF PARTICLES (PROBLEMS)

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Myron Banks
5 years ago
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1 EQUILIRIUM OF PARICLES (PROLEMS)

2 1. Determine the force P required to maintain the 2-kg engine in the position for which q=3 o. he diameter of the pulle at is negligible.

3 2. 4-kg sphere rests on the smooth parabolic surface. Determine the reaction of the surface on the sphere and the mass m required to hold it in the equilibrium position. 6 o m A = m

4 Problems (Equilibrium of Particles) 3. wo particles weighing 8 and 2 are held in equilibrium on frictionless perpendicular surfaces b a cable which makes an angle q with the horiontal. a) Determine the normal forces acting from the surfaces on the particles, b) ension in the cable, c) Angle q. cable

5 4. he pail and its contents have a mass of 1 kg. If the length of cable AC is 7 m, determine the horiontal distance for equilibrium. Also find the tension in the cable. he mass of the small pulle at is small and can be neglected. 4 m A 1 m C

6 5. he clinder of mass 1 kg having a ver small diameter is held against a semi-clinder with a much larger diameter b two h r A r=2 mm h=12 mm identical springs, which are fied to points C and C on the ground. he springs are unstretched when C at point A. Knowing that the small clinder is in equilibrium at C point, what is the spring constant?

7 6. A small peg P rests on a spring that is contained inside the smooth pipe. he spring eerts anupward force of 284 on the peg. Determine the point of attachment A (,, ) of cord PA so that the tension in cords P and PC equals 13 and 84, respectivel. P.6 m.4 m.2 m.3 m C A

8 7. Crate A weighing 58 rests on the inclined surface b the cable A and force P which is parallel to the -ais. Determine the tension in the cable A and force P for equilibrium. Since the crate is mounted on casters, the force eerted b the incline on the crate is perpendicular to the incline. 1.5 m 3 m 2.2 m C 3 m E A P O 4 m D

9 Problems (Equilibrium of Particles) 8. If A = =14, determine the force P, A and the reactions between the collars and bars.

10 9. Collar A weighing 25, which can slide freel on the parabolic rod in plane, is held.4 m in equilibrium b the spring A and force P which is parallel to - k=3 /m P =3 2 ais. he spring has a constant of 3 /m and its unstretched.6 m O A.2 m length is.1 m. Determine the reaction between the collar and rod. eglect friction.

11 1. he 1-kg collar A rests on the smooth straight fied bar CD b the cable A. Determine the tension in the cable and the reaction between the collar and bar CD. C

12 11. Smooth collars A, and C, each weighing 36, are connected b the wires A and C and ma slide freel on the smooth rod having the shape shown. Determine the magnitude of the horiontal force P which must be applied to the collar A to maintain equilibrium. DEFG portion of the rod is parallel to -plane.

13 FD of collar A P A Four unknowns A A FD of collar FD of collar C A C C Four unknowns C C hree unknowns

14 FD of collar C C C C A (;9;3) (2;5;7) C (6;1;) F 1.5 m 4.5 m m 1 6 E C C C F 4i 4 j 7k C 9 36 j C i C k F C C C 36

15 .6 cos.6 sin q q q o F F k j i j k j i k j i F A A A A A C C A C FD of collar A C F E E F 6 m.5 m q q

16 FD of collar A P A F A A 36 j A Ai P Pk 36i 72 j A j A 72k A A A P F 72 P P 72

17 12. he 1-kg collar A and 2-kg collar rest on the smooth fied bars b the cable A and the force F. Determine the magnitude of the force F required to maintain equilibrium of the sstem. he force F is parallel to the bar CE. A 3 m (;5;) m (;3;) m F 3 m (;;4) m (4;;) m

Problems (Equilibrium of Particles)

Problems (Equilibrium of Particles) 1. he kg block rests on the rough surface. Length of the spring is 18 mm in the position shown. Unstretched length of the spring is mm. Determine the coefficient of friction required for the equilibrium.