PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The bars shown are the same length. The spring is unstretched when alpha= 90°; the horizontal surface is smooth. For what value of a between 0 and 90° will the system remain in equilibrium?
Determine the stretch in each spring for for equilibrium of the 1.8-kg
block. The springs are shown in the equilibrium position. (Figure 1)
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3m
4 m
3 m
kAC = 20 N/m
igure
kan = 30 N/m
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1 of 1
3 m
4 m
kAD- 40 N/m
3 m
kAc = 20 N/m
kAn- 30 N/m
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kAD- 40 N/m
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The 10 Ib weight is supported by the cord AC, a roller and by a spring. If the spring has an unstretched length of 8 in. and
the weight is in equilibrium when d = 4 in., determine the stiffness k of the spring.
12 in.
in
A
Select one:
O a.k= 4.8 lb/in
Ob.k=7.8 Ib/in
Oc.k=6.8 Ib/in
Od.k=5.8 Ib/in
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- The spring is connected to a rope that passes over the cylindrical surface and is attached to corner A of the rocker. The spring has a stiffness k and is undeformed when =0. When the weight W is suspended from A, the equilibrium position of the rocker is =30. Determine if this equilibrium position is stable. Neglect the weight of the rocker.arrow_forwardThe uniform bar AB of weight W and length L is pinned to a sliding collar at A and to the sliding rod BD at B. The spring wound around rod BD has a stiffness k and is undeformed when rod AB is in the position =0. Determine the expression for the angle (other than =90 ) at equilibrium and investigate the stability of equilibrium for this position.arrow_forwardDetermine the largest force P for which the 16-kg uniform bar remains in equilibrium.arrow_forward
- The spring attached to the sliding collar is capable of carrying tension and compression. The spring has a stiffness k = 1.5 lb/in., and its free length is 1.5L. If the System is known to be in equilibrium in the position =30, determine the weight W of the slider.arrow_forwardThe spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest spring stiffness k for which the =0 equilibrium position will be stable. Use W = 10 lb, a = 24 in., and b = 6 in. Assume that the spring remains horizontal, which is a valid approximation if is small.arrow_forwardThe weightless bars AB and CE, together with the 5-lb weight BE, form a parallelogram linkage. The ideal spring attached to D has a free length of 2 in. and a stiffness of 7.5 lb/in. Find the two equilibrium positions that are in the range 0/2, and determine their stability. Neglect the weight of slider F.arrow_forward
- The two uniform cylinders, each of weight W, are resting against inclined surfaces. Neglecting friction, draw the free-body diagrams for each cylinder and for the two cylinders together. Count the total number of unknowns and the total number of independent equilibrium equations.arrow_forwardNeglecting friction, determine the relationship between P and Q, assuming that the mechanism is in equilibrium in the position shown.arrow_forwardThe cable of mass 1.8 kg/m is attached to a rigid support at A and passes over a smooth pulley at B. If the mass M = 40 kg is attached to the free end of the cable, find the two values of H for which the cable will be in equilibrium. (Note: The smaller value of H represents stable equilibrium.)arrow_forward
- The stiffness of the ideal spring that is compressed by the slider C is k = 250 N/m. The spring is unstretched when =20. When the mass m is suspended from A, the system is in equilibrium at =60. Determine the value of m and whether the equilibrium position is stable or unstable.arrow_forwardA rear suspension system for a front wheel-drive vehicle is shown here. Spring EF is offset behind member CD. The normal force due to contact between the wheel and the road is 4200 N. Assume the weight of the wheel and suspension system components is negligible. Determine the magnitude of the member CD. Is the member in tension or compression? Determine the support reactions at A. Determine the unstretched length of the spring EF given a spring constant of 150 kN/m.arrow_forwardQ3. Determine the equilibrium values of 0 and the stability of equilibrium at each position for the unbalanced wheel on the 10° incline. Static friction is sufficient to prevent slipping. The mass center is at G. O C G 10⁰ r = 100 mm F = 60 mm Aarrow_forward
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