DYNAMICS RMU EDITION
12th Edition
ISBN: 9781264044559
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 13.2, Problem 13.55P
To determine
Derive an expression for the constant
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A spring of constant 15 kN/m connects points C and F of the linkage shown. Neglecting the weight of the spring and linkage, determine the force in the spring and the vertical motion of point G when a vertical downward 120-N force is applied (a) at point C ,( b) at points E and F.Fig. P10.8
Question 1
A sheep with a mass (m) 50 kg is hung on an animal scale system which consist
of a helical spring of negligible mass. The stiffness (k) of the spring is 60 kN/m.
During the hanging operation, the spring and the sheep are displaced vertically
by 20 mm below the equilibrium position.
1.1.
Draw a free body diagram and proof that a total length (L) of the scale system
2mg
can be expressed as: L =
+ Lo, where as Lo is the unstretched length of
k
the spring.
1.2.
Calculate the frequency of natural vibration of the system.
1.3.
Calculate the velocity and acceleration of the sheep when it is 10 mm below
the rest position.
For question 1.4 and 1.5, indicate whether the statement presented is true or
false. If true, state why. If false, rewrite the statement to make it true.
1.4.
The differential equation governing the free vibrations of a sliding mass-spring
and viscous-damper system (without friction) is the same as the differential
equation for a hanging mass-spring and…
Example 15.28. A weight of 2000 N is supported by two chains AC and BC as shown in Fig. 15.48.
Determine the tension in each chain.
T2
T1
30
60°
y = 90°
T2
B = 120°
a = 150°
%3D
T1
W = 2000 N
W= 2000 N
Fig. 15.48
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- a sheep with a mass of 50 kg is hung on an animal scale system which consists of a helical spring of negligible mass. The stiffness (k) of the spring is 60 kN/m. During the hanging operation, the spring and the sheep are displaced vertically by 20 mm below the equilibrium position. draw a free body diagram and prove that the total length (L) of the scale system can be expressed as : L= (2mg/k) + L0, where L0 is the unstretched length of the spring. also determine the frequency of natural vibration of the system.arrow_forwardAn acrobat is walking on a tightrope of length L-20.1 m attached to supports A and B at a distance of 20.0 m apart. The combined weight of the acrobat and his balancing pole is 900 N, and the friction between his shoes and the rope is large enough to prevent him from slipping. Neglecting the weight of the rope and any elastic deformation, determine the deflection (y) and the tension in portion AC and BC of the rope for values of x from 0.5 m to 10 m using 0.5 m increments. 1. Plot deflection (y) vs. x. Turn in the plot and the table. 2. Plot tension of AC and BC vs. x. Turn in the plot and the table of x, TAC, and Tec (clearly label each). A B C 20.0 marrow_forwardPlease answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. A pulley assembly is designed to measure the weight of block F using a counterweight. Springs G and H (k = 960 N/m) are compressed by 0.2 meters. Knowing that the system is in equilibrium, determine the mass of block F. Also, determine the tension carried by cable AI and the forces from bar A and bar C. Notes!There's a single cable from point J to point B. This cable is not attached to the cable from C to F. This cable is also not attached to the horizontal bar at C. There's also a single cable running from A to block M. This cable is not attached to the horizontal bar at A. L is also a block with mass 41 kg.arrow_forward
- The cabin of a tram is suspended from a set of wheels that can roll freely on the support cable ACB and is being pulled at a constant speed by cable DE. Given a = 42° and ß = 32°, the tension in cable DE is 20 kN, and assuming the tension in cable DF is negligible, what is: a. the combined weight of the cabin, its support system, and its passengers? b. the tension in the support cable ACB? You can assume AC and ED are parallel! a 3arrow_forwardProblem 2.15 As shown in Fig. 2.26, consider a block that weighs W. Due to the effect of gravity, the block is sliding down a slope that makes an angle 0 with the horizontal. The coefficient of kinetic friction between the block and the slope is µk. Show that the magnitude of the frictional force generated between the block and the slope is f = HxW cos 0. Fig. 2.26 Problem 2.15arrow_forwardA 0.23 kg block is pressed up against a spring on a frictionless incline of angle 0 = 20.0° to the horizontal. The spring is initially compressed by x = 0.30 m from its equilibrium position (first arrow shown). When released from rest, the block travels along the incline a total distance (d + x) = 1.30 m until coming to rest again (where d = 1.00 m). What is the spring constant k? {Consider gravitational and spring potential energies; conservation of energy 'system'} O 11.5 N/m O 22.3 N/m O 80.9 N/m O 13.7 N/m O 30.2 N/m 8 LE R T K command command optionarrow_forward
- 1.A person is to be released from rest on a swing pulled away from the vertical by an angle of 20.0°. The two frayed ropes of the swing are 2.75 m long, and will break if the tension in either of them exceeds 355 N. (a) What is the maximum weight the person can have and not break the ropes? (b)If the person is released at an angle greater than 20.0°, does the maximum weight increase, decrease, or stay the same? (c)Solve in Newton Law, Conversation Law, and Work-Kinetic Theorem.arrow_forwardA) Determine maximum spring compression when a block of 5 kg is released from rest at A as shown in Fig. (4). Assume u = 0.2 for BC and k = 0.8 N/m for spring. 15 A R = 0.7 m 0000000000000 В 1 m Fig. 4 3.arrow_forwardA car skidded off an icy road and became stuck in deep snow at the road shoulder. Another car, of 1400 kg mass, attempted to jerk the stuck vehicle back onto the road using a 5 m steel tow cable of stiffness k = 5000 N/mm. The traction available to the rescue car prevented it from exerting any significant force on the cable. With the aid of a push from bystanders, the rescue car was able to back against the stuck car and then go forward and reach a speed of 4 km/h at the instant the cable became taut. If the cable is attached rigidly to the masses of the cars, estimate the maximum impact force that can be developed in the cable, and the resulting cable elongation. Assume that the steady state force, acting on the rope, is equal to the weight of the car.arrow_forward
- Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50 N/m, attached to a 30-kg block in an incline (θ=30°). With the spring initially at equilibrium position, the block was pushed 0.5 meters up the incline by a 50-N external force applied parallel to the path. If the coefficient of kinetic friction is 0.5, determine the: a) normal force (in Newtons) b) work done by the spring (in Joules)arrow_forwardThree cylinders are piled in a rectangular ditch as shown, neglecting friction. Wa=15lb, Wb=40lb and Wc=20lb. Determine reaction between cylinder A and the floor, reaction between cylinder A and wall, reaction between cylinder A and cylinder B, reaction between cylinder B and cylinder C, reaction between cylinder B and the wall, and reaction between cylinder C and the wall.arrow_forwardA block weighing 96.6 lb is dropped from a height of 4ft upon a spring whose modulus is 100 lb per in. 36. What velocity will the block have at the instant the spring is deformed 4 in.? a. 14.32 ft/s b. 13.32 ft/s c. 15.32 ft/s d. 12.32 ft/sarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY