MULTIPLE DEGREES OF FREEDOM Weighless Midpoint ka m Given the vibration system with multiple degree of freedom. For string 1, k1 = 10KN/m For string 2, k2 = 20KN/m For string 3, k3 = 30 kN/m mass = 500kg mass of the beam will not be consider. Solve for the following: a. Reaction force at string 1 b. Reaction force at string 2 c. Reaction force at string 3 d. Static deflection at string 1 e. Static deflection at string 2 f. Static deflection at string 3 g. Total static deflection at mass h. Natural frequecy i. Frequency j. Period

MULTIPLE DEGREES OF FREEDOM Weighless Midpoint ka m Given the vibration system with multiple degree of freedom. For string 1, k1 = 10KN/m For string 2, k2 = 20KN/m For string 3, k3 = 30 kN/m mass = 500kg mass of the beam will not be consider. Solve for the following: a. Reaction force at string 1 b. Reaction force at string 2 c. Reaction force at string 3 d. Static deflection at string 1 e. Static deflection at string 2 f. Static deflection at string 3 g. Total static deflection at mass h. Natural frequecy i. Frequency j. Period

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.8.4P: The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the...

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Figure below shows a mass-spring model of the type used to design packaging systems and vehicle suspensions, for example. The springs exert a force that is proportional to their compression, and the proportionality constant is the spring constant k. The two side springs provide additional resistance if the weight W is too heavy for the center spring. When the weight W is gently placed, it moves through a distance x before coming to rest. From statics, the weight force must balance the spring forces at this new position. (if x=d) These relations can be used to generate the plot of x versus W. (a) The following values are given: k1=104 N/m; k2 = 1.5 *104 N/m; d =0.1 m. Create a function that computes the distance x, using the input parameter W; Then, test your function for the following two cases, using the values: W=500 N W=2000 N. (b) Create another script and use your function to plot x versus W for 0 < W < 3000 N for the values of k1, k2, and d given in part a.
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Dynamics of rigid bodies Problem 5
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