k Equations of motion for this mechanism can be derived as mlö – mgl sin 0 + kl? (1 – cos 0) sin 0 = 0. Which of the following are the linearized equations of motion for the mechanism, about the equilibrium able Oe? The linearized motions are expressed in terms of departures from the equilibrium angle defined as x := 0 – 0e. O 4--4 (1- ) = 3g mg dt2 4kl 3g dt? o -부(1+ ) - 3g mg dt 4kl dt?

k Equations of motion for this mechanism can be derived as mlö – mgl sin 0 + kl? (1 – cos 0) sin 0 = 0. Which of the following are the linearized equations of motion for the mechanism, about the equilibrium able Oe? The linearized motions are expressed in terms of departures from the equilibrium angle defined as x := 0 – 0e. O 4--4 (1- ) = 3g mg dt2 4kl 3g dt? o -부(1+ ) - 3g mg dt 4kl dt?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.53P: Find the equilibrium positions of the 30-lb homogeneous bar and investigate their stability.

See similar textbooks

Similar questions

Show that equilibrium is neutral in Prob. 10.7.Reference to Problem 10.7:
review engineering statics Take d1 = 600 mm, d2 = 800 mm, θθ = 45° and F = 500 N (a) Show that member DB is a two-force member? Draw a qualitatively correct extended free-body diagram of DB. (b) Draw an extended FBD of member ABC. (c) Write the three equilibrium equations for member ABC (namely Fnet, x = 0, Fnet,y = 0, and Mnet/P,z = 0). Make clear the choice of your point P for the moment equation. (d) Find the forces acting on member ABC at A and B (give your answer in component form or as a direction and magnitude.) Show your work. These are my answers FBD=2F, RAX=353.5N RAy= 353.5N but am not sure if a correct any help
review engineering statics Take d1 = 600 mm, d2 = 800 mm, θθ = 45° and F = 500 N (a) Show that member DB is a two-force member? Draw a qualitatively correct extended free-body diagram of DB. (b) Draw an extended FBD of member ABC. (c) Write the three equilibrium equations for member ABC (namely Fnet, x = 0, Fnet,y = 0, and Mnet/P,z = 0). Make clear the choice of your point P for the moment equation. (d) Find the forces acting on member ABC at A and B (give your answer in component form or as a direction and magnitude.) Show your work.
The end of a spring is pulled to the right by 4 cm; the restoring force is8 N to the left. Given the relationships 8.15c, if the spring is returned to equilibrium and then pushed to the left by 2 cm, the restoring force isA. 4 N to the left. B. 4 N to the right. C. 8 N to the left.D. 8 N to the right. E. 16 N to the left. F. 16 N to the right.
Using the method of Sec. 10.2C, solve Prob. 10.39. Determine whether the equilibrium is stable, unstable, or neutral. (Hint: The potential energy corresponding to the couple exerted by a torsion spring is 1/2 Kθ 2 where K is the torsional spring constant and 0 is the angle of twist.)Reference to Problem 10.39:
When F = 300 N with Θ = 40°, what is the maximum value which P may have for static equilibrium? Neglect the weight of the structure compared with the applied loads.
A 68 kg mass is supported by the three springs as shown. The initial displacement is 15 cm downward from the static equilibrium position. No external forces act on the mass after it is released. The equivalent spring constant is 5600 N/m. What is the static deflection of the mass? [Don't copy from other site]
Briefly explain and give one example problem for each of the following conditions of Stable equilibrium.
Please use FBDs andequations of equilibrium to explain: How the upper L part is balanced with the chains When the minifigure is placed at the corner of the upper L part, how the system reacts to reach static equilibrium again.
Find the equilibrium positions of the 30-lb homogeneous bar and investigate their stability.
The axle radius is 1 m and the wheel radius is 4 m. A 1600-N load is attached to the axle via a cable. A worker supports the load by holding on to the cable attached to the wheel. The moment of inertia of the wheel/axle system is 5 kg•m2. a) How much force must be applied to the wheel to maintain static or dynamic equilibrium? b) If the load is lifted 10 m, what is its change in potential energy? c) Assuming the load was lifted in dynamical equilibrium, what work did the worker do? d) How much cable does the worker use to lift the load 10 m?
In both words and equations, state the two conditions which must be satisfied for a rigid body to be in mechanical equilibrium.