ENGR.MECH.:STAT.+DYNAMICS
15th Edition
ISBN: 9780134780955
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 11, Problem 39P
To determine
The weight of the block
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A spring with a torsional stiffness k is attached to the hinge at B. It is unstretched when the rod assembly is in the vertical position. Determine the weight W of the block that results in neutral equilibrium. Hint: Establish thepotential energy function for a small angle θ, i.e., approximate sin θ ≈ 0, and cos θ ≈ 1 - θ2/2.
Determine the unstretched length of spring AC if a force P = 100 Ib causes the angle 0= 52° for equilibrium. Cord AB
is 2 ft long. Take k = 35 lb/ft.
2 ft
2 ft
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Q4 / Determine the unstretched length (Lo) of spring Ac if a force P=
400 N causes the Ø=60° for equilibrium cord AB is 0.6m long . Take
K=850 N/m. As shown in fig (4)?
0.6 m
0.6 m
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Chapter 11 Solutions
ENGR.MECH.:STAT.+DYNAMICS
Ch. 11 - Determine the required magnitude of force P to...Ch. 11 - Determine the magnitude of force P required to...Ch. 11 - The linkage is subjected to a force P = 2 kN....Ch. 11 - Prob. 4FPCh. 11 - Determine the angle where the 50-kg bar is in...Ch. 11 - Prob. 6FPCh. 11 - The scissors jack supports a load P. Determine the...Ch. 11 - When = 20, the 50-lb uniform block compresses the...Ch. 11 - Prob. 8PCh. 11 - The thin rod of weight W rests against the smooth...
Ch. 11 - If each of the three links of the mechanism have a...Ch. 11 - Prob. 18PCh. 11 - The Nuremberg scissors is subjected to a...Ch. 11 - The potential energy of a one-degree-of-freedom...Ch. 11 - Prob. 27PCh. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - The uniform bar has a mass of 80 Kg. Determine the...Ch. 11 - Prob. 39PCh. 11 - The uniform rod has a mass of 100 kg. If the...Ch. 11 - Prob. 42PCh. 11 - The buck has a mass of 20 Mg and a mass center at...Ch. 11 - Prob. 45PCh. 11 - Prob. 1RPCh. 11 - Prob. 2RPCh. 11 - Prob. 4RPCh. 11 - Prob. 5RPCh. 11 - The uniform bar AB weighs 100 lb. If both spring...Ch. 11 - The spring attached to the mechanism has an...
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- Q2/ Determine the unstretched length of spring AC if a force P 80lb causes the angle 0 = 60° for equilibrium. Cord AB is 2 ft long. Take k = 50 lb/ft.arrow_forwardWhat the tension developed in cable AB required for equilibrium of the 600-lb crate. If the tension in cable AC=-120 i+120j+60 K and in cable AD=D360 i 2'n -2 Select one: 180 360 lb None of these 720 lbarrow_forward1m 3.5m 2.75m 3m →Y 2m Dx m Dy m D (Dx,Dy,0) 50N The bucket at (x.y,z) = (2.2, 2.9,0) is supported by 3 slender bars as shown and is in equilibrium. You can assume the three bars behave as two-force members. Find the magnitude of the force in the bar DB. NEarrow_forward
- Cable AB passes over the small ideal pulley C without a change in its tension. What length of cable CD is required for static equilibrium in the position shown? What is the tension Tin cable CD? T A 46° D 3.6' Answers: i Tco= i B 60 lb ft lbarrow_forwardThe 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/inarrow_forwardThe 437-kg uniform beam is subjected to the three external loads shown. Compute the vertical reaction (N) at the support point O if P = 4135 N, Q = 3230 N, T = 40672 Nm, x = 1.01 m, y = 1.33 m, and z = 1.58 m and the system is in equilibrium.Positive values are to the right, up, and counterclockwise. Round off only on the final answer expressed in 3 decimal places.arrow_forward
- ka block is held in equilibrium by the system of springs. Draw a free-body diagram for the ring at A. -3 m kAC = 20 N/m 3 m kAB = 30 N/m kAD = 40 N/m Darrow_forwardThe rod supports a cylinder of mass m = 80 kg and is pinned at its end A. If it is also subjected to a couple moment of M = 500 N-m, determine the angle for the system to be in equilibrium in degrees. The spring has an unstretched length of 1 m and a stiffness of k = 600 N/m. L₁ and L₂ are 1.6 m and 1.4 m, respectively. Your Answer: Answer M 1 m L1 m L2 k Barrow_forwardThe weight of the bicycle is 29 Ib with center of gravity at G. Determine the normal forces at A and B when the bicycle is in equilibrium. B -18.5"→ -22.5"-arrow_forward
- Problem 2. Consider the frame loaded as shown. If the reaction force at the roller at F is 250N, then find the force P applied for equilibrium. 0.2 m 0.2 m 0.3 m E 60° |A |B 0.6 m 0.3 marrow_forwardThe system is made up of a bar, supported by a pin at point A and by a smooth collar at point B (the collar slides on the ABG bar). The collar is pinned to bar BDE, and bar BDE is supported by a pin at D and a cable at end E. Determine the force P such that the force in the cable equals to T. With T= 26 lb, a=4 in, b=9 inarrow_forwardThe scissors linkage is subjected to a force of P = 150 N as shown in the figure below. Thespring is unstretched at θ = 0◦. All links have equal length of 0.3 m. Using the principles of virtualwork, determine the equation in terms of θ, for the system to be in equilibrium. Neglect the massof the links. Find the numerical value of θ, by solving the equation that you have obtained,using a numerical method. Hint: You may look for a trial and error method, or Newton’s bisectionmethod, or Newton-Raphson method, etc. Please solve the questionarrow_forward
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