Q6: A 1/4 kg mass is attached to a spring withstiffness 4 N/m as shown in the fig. The dampingconstant b for the system is 1 N-sec/m. If the massis displaced 1/2 m to the left and given an initialvelocity of 1 m/sec to the left. Find the equation ofmotion using Laplace transformation as well asthe amplitude and frequency of oscillation.k=4 N/moooooooooo0kgJb=1 N-sec/mEquilibrium

To solve this problem, we will use the Laplace transformation method to find the equation of motion…

Answered: Q6: A 1/4 kg mass is attached to a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Section 4.3 and 4.4 Control Volume and System Representations and the Reynolds Transport Theorem 4.32 Water flows through a duct of square cross section as shown in Fig. P4.32 with a constant, uniform velocity of V = 20 m/s. Consider fluid particles that lie along line A-B at time t = 0. De- termine the position of these particles, denoted by line A'-B', when t = 0.20 s. Use the volume of fluid in the region between lines A-B and A'-B' to determine the flowrate in the duct. Re- peat the problem for fluid particles originally along line C-D and along line E-F. Compare your three answers. V - 20 m/s B B' A A' C C FIGURE P4.32 D 45° E 0.5 m
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Quiz 1 Q1: A reducing elbow is used to deflect water flow at a rate of 25 kg/s in a horizontal pipe upward by an angle of 45° from the flow direction while accelerating it. The elbow discharges water into the atmosphere. The diameter of pipe is 150 mm at the inlet and 30 mm at the exit. The elevation difference between the centers of the exit and the inlet is 40 cm. The volume of the water in bend is 0.053 m³. Determine the resultant force exerted on bend. 30 mm 150 mm 40 cm 45° Water Q2: Water is siphoned from a large tank and discharges into the atmosphere through a 2-in.- diameter tube as shown in Fig. The end of the tube is 3 ft below the tank bottom, and viscous effects are negligible. (a) Determine the volume flowrate from the tank. (b) Determine the maximum height, H, over which the water can be siphoned without cavitation occurring. Atmospheric pressure is 14.7 psia, and the water vapor pressure is 0.26 psia H 2-in. diameter 10 ft 4 ft D

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