22-49. The light elastic rod supports a 4-kg sphere. When an 18-N vertical force is applied to the sphere, the rod deflects 14 mm. If the wall oscillates with harmonic frequency of 2 Hz and has an amplitude of 15 mm, determine the amplitude of vibration for the sphere. -0.75 m

22-49. The light elastic rod supports a 4-kg sphere. When an 18-N vertical force is applied to the sphere, the rod deflects 14 mm. If the wall oscillates with harmonic frequency of 2 Hz and has an amplitude of 15 mm, determine the amplitude of vibration for the sphere. -0.75 m

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 10.57P: Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.

See similar textbooks

Related questions

Q: A 10-kg block is suspended from a cord wrapped around a 5-kg disk, as shown in Fig. 22-10a. If the…

A: Given The mass of the block is mb=10 kg. The mass of the disk is md=5 kg. The stiffness of the…

Q: consists a with a weight of 400 2000 lb/in. By testing the system, it was found that a force of 200…

A: As per guidelines we can answer only the first three parts kindly post the remaining parts in…

Q: *22-76. Determine the differential equation of motion for the damped vibratory system shown. What…

A: Write the expression of the equivalent spring stiffness.

Q: 22-39. The slender rod has a weight of 4 lb/ft. If it is supported in the horizontal plane by a…

A: Given: The weight of rod per unit length, w = 4 lb/ft The sketch for the rod and string for a…

Q: 8(s+5) Y(s) s'+10s +16s +40 vibration of the mass m caused by the displacement of the foundation,…

A: 8×s+5s3+10s2+16s+40×0.05s3+5 X(s) is given above plot of response -

Q: 22-47. The uniform rod has a mass of m. If it is acted upon by a periodic force of F = F, sin wi,…

A: Consider the diagram shown below for the given spring-mass system.

Q: 22-33. If the 20-kg wheel is displaced a small amount and released, determine the natural period of…

A: Given: The mass of the wheel, m = 20 kg The radius of the gyration, KG = 0.36 m The spring…

Q: The uniform beam is supported at its ends by two springs A and B, each having the same stiffness k.…

Q: 22–25. If the disk in Prob. 22-24 has a mass of 10 kg, determine the natural frequency of vibration.…

A: The mass of the disc is m=10 kg. The spring constant of the spring is k=80 N/m. The radius of the…

Q: 22-73. The bar has a weight of 6 lb. If the stiffness of the spring is k = 8 lb/ft and the dashpot…

A: Given data To determine 1) The differential equation which describes the motion in terms of angle…

Q: 22-23. The 20-kg disk, is pinned at its mass center O and supports the 4-kg block A. If the belt…

Q: 22-51. The 40-kg block is attached to a spring having a stiffness of 800 N/m. A force F = (100 cos…

A: The natural frequency of vibration of the system is The forced frequency is The amplitude of the…

Q: *22-24. The 10-kg disk is pin connected at its mass center. Determine the natural period of…

A: Given Mass of the disk = 10 kg Spring constant = 80 N/m Diameter of the disk = 150 mm = 0.15 m To…

Q: 22-46. A 5-kg block is suspended from a spring having a stiffness of 300 N/m. If the block is acted…

Q: A 30-lb uniform cylinder can roll without sliding on a 15° incline. A belt is attached to the rim of…

A: The data given is,

Q: 1. The uniform rod ABC weighs 5 lb, and is attached to wo springs as shown. If end C is given a…

Q: *22-60. The 450-kg trailer is pulled with a constant speed over the surface of a bumpy road, which…

A: Given data: The mass of the trailer, m = 450 kg. The amplitude is, A = 50 mm. The wavelength is, λ…

Q: 22-11. While standing in an elevator, the man holds a pendulum which consists of an 18-in. cord and…

A: Given Data: Length of cord is L = 18 in. Mass of bob is m = 0.5 lb. Acceleration of lift of lift is…

Q: A cas have M = 1000 kg, eppective stiptness of sPoing 200 kN/ if it is dõiven along Bough doad that…

A: The mass and stiffness of the car body is given Mass (m) =1000kg Stiffness (k)=200kN/m = 200000N/m…

Q: k = 200 N/m A rope is wrapped around a 5 kg uniform disc which is pinned at O. 2. No slipping occurs…

Q: *22-40. If the slender rod has a weight of 5 lb, determine the natural frequency of vibration. The…

A: Give a disturbance of small angle θ radian in the anticlockwise sense to the given bar as shown in…

Q: *22-68. The 200-lb electric motor is fastened to the midpoint of the simply supported beam. It is…

A: Write the expression for the stiffness of the beam. Write the expression for the natural frequency…

Q: k2 k3 m - 13-

Q: *22-16. A block of mass m is suspended from two springs having a stiffness of ki and k2, arranged a)…

A: Given: The mass of the block is m. The stiffness of the two springs is k1 and k2. Part (a) The…

Q: *22-12. Determine the natural period of vibration of the uniform bar of mass m when it is displaced…

A: Consider the diagram shown below for the small angular displacement of the rod.

Q: 22-29. The plate of mass m is supported by three symmetrically placed cords of length I as shown. If…

A: The tension in each rod is equal as the cords are placed symmetrically. Draw a free body diagram…

Q: above the other, and a mass of 10 kg is attached at the middle point of its length. Determine the…

A: Solution :- Given data :- F = 100 N δ = 10 mmm = 10 kg

Q: 22–13. The body of arbitrary shape has a mass m, mass center at G, and a radius of gyration about G…

A: Write the expression for the moment about point O. However, for small rotation sinθ=θ, hence the…

Q: 22-18. The uniform beam is supported at its ends by two springs A and B, each having the same…

A: Given, Mass of the beam (mB) = 50 kg "k" is the stiffness of the spring Time Period(T1) = 0.83 s The…

Q: *22-20. A uniform board is supported on two wheels which rotate in opposite directions at a constant…

Q: The uniform rod ABC weighs 5 lbę and is attached to wo springs as shown. If end c is given a small…

Q: 22-35. Determine the natural period of vibration of the 3-kg sphere. Neglect the mass of the rod and…

A: The free-body diagram of the mass is given as, CD is fix postion and AB is a position at an angle θ…

Q: 22-37. The disk has a weight of 30 lb and rolls without slipping on the horizontal surface as it…

A: Given: The weight of the disc, w = 30 lb The angle turned by disc, θ = 0.2 rad The stiffness of the…

Q: 22-75. A bullet of mass m has a velocity v, just before it strikes the target of mass M. If the…

A: Given: mass of the bullet =m Mass of the target = M velocity of bullet = v0 bullet is embeds on the…

Q: 22-22. The bar has a length I and mass m. It is supported at its ends by rollers of negligible mass.…

A: Determine the moment of inertia about point O.

Q: 22-69. Two identical dashpots are arranged parallel to each other, as shown. Show that if the…

A: Free body diagram of the system in equilibrium and disturbed condition is, In statics equilibrium,…

Q: 22-71. If the amplitude of the 50-lb cylinder's steady-state vibration is 6 in., determine the…

A: Amplitude of vibration A =6 in k = 200 lb/ft c = 25 lb s/ ft m = 50 lb δ = 9 in ωn=keqm=2km=2.8284…

Q: *22-36. If the lower end of the 6-kg slender rod is displaced a small amount and released from rest,…

A: Given: The mass of the slender is m=6 kg. The stiffness of the spring is k=200 N/m. The expression…

Q: A 15-lb slender rod AB is riveted to a 12-lb uniform disk as shown. A belt is attached to the rim of…

Q: 22-41. If the block-and-spring model is subjected to the periodic force F = F, cos wt, show that the…

Q: *22-56. The small block at A has a mass of 4 kg and is mounted on the bent rod having negligible…

A: Given, Mass of block A, m=4 kg Length of the horizontal arm of the rod, L1=0.6 m Length of the…

Q: 22–10. The uniform rod of mass m is supported by a pin at A and a spring at B. If B is given a small…

A: Given data: The mass of rod is, m. Draw the free body diagram of the rod with all the parameters.

Q: If the 20-kg wheel is displaced a small amount and released, determine the natural period of…

A: Vibration occurs when an elastic body, such as a spring, a beam, or a shaft, is moved from its…

Q: 22-57. The electric motor turns an eccentric flywheel which is equivalent to an unbalanced 0.25-lb…

Q: 22-15. A platform, having an unknown mass, is supported by four springs, each having the same…

A: The expression of a time period t=2πmk

Q: Determine the amplitude of vertical vibration of the spring mounted trailer as it travels at a…

Q: 22–38. The machine has a mass m and is uniformly supported by four springs, each having a stiffness…

A: given: mass of machine=m stiffness of the given four spring=k

Question

22-49. The light elastic rod supports a 4-kg sphere. When
an 18-N vertical force is applied to the sphere, the rod
deflects 14 mm. If the wall oscillates with harmonic
frequency of 2 Hz and has an amplitude of 15 mm, determine
the amplitude of vibration for the sphere.
-0.75 m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

While standing in an elevator, the man holds a pendulum which consists of an 18-in. cord and a 0.5-lb bob. If the elevator is descending with an acceleration a = 4 ft/s2, determine the natural period of vibration for small amplitudes of swing.
The 23-kgkg disk, is pinned at its mass center OO and supports the 5-kgkg block AA. The belt which passes over the disk is not allowed to slip at its contacting surface. Determine the natural period of vibration of the system.
Determine the natural period of vibration of the pendulum if it is given a small displacement and released. Consider the two rods to be slender, each having a weight of 120 N/m
If k = 23 kip/in and W = 329 kip, determine the period of vibration in seconds.
A 3 kg mass suspended from a spring having stiffness of k= 200N/m. if the block is pushed 50mm upward from its equilibrium position and then released from rest a) Determine the amplitude and the frequency of the vibration
When a 2-kg block is suspended from a spring, the spring is stretched a distance of 40 mm. Determine the period of vibration for a O.5-kg block attached to the same spring.
The 42-kg block is attached to a spring having a stiffness of k = 700 N/m . A force F=(100cos2t)N, where t is in seconds is applied to the block. Determine the maximum speed of the block for the steady-state vibration.
A spring has a stiffness of 600 N/m, if a 4 kg block is attached to the spring, pushed 500 mm above its equilibrium position, and released from rest; determine the angular frequency. Assume the positive displacement is measured downward
An 8-kgkg block is suspended from a spring having a stiffness k=80N/mk=80N/m. If the block is given an upward velocity of 0.4 mm // ss when it is 90 mmmm above its equilibrium position, determine the equation which describes the motion of the block measured from the equilibrium position. Assume that positive displacement is measured downward. Determine the maximum upward displacement of the block measured from the equilibrium position. Assume that positive displacement is measured downward.
It is desired to adjust the damping of the passenger car's suspension so that the vibration is damped to one tenth of the original during one oscillation. Based on this, determine the relative attenuation constant D (give the answer to two decimal places). The car has a mass of 1500 kg and the body frequency is 1.32 Hz.
The body of arbitrary shape has a mass m, mass center at G, and a radius ofgyration about G of . If it is displaced a slight amount from its equilibriumposition and released, determine the natural period of vibration.
A 3-kg block is suspended from a spring having a stiffness of k = 200 N/m. If the block is pushed 50 mm upward from its equilibrium position and then released from rest, determine the equation that describes the motion. What are the amplitude and the natural frequency of the vibration? Assume that positive displacement is downward.