4. A-kg object stretches a spring with stiffness 18 N/m and damping coefficient kg/sec. There is no external driving force acting on the system. The spring initially displaced m upward from its equilibrium position and given an initial velocity 1 m/sec. The oscillator DE and initial conditions describing the system motion is give ++18y = 0, y(0) = −½, y′(0)=1 a. Use the relations in Question 3 to find the displacement (position) of the mass at any time. b. Use the relations/information from Question 3 and Part a. to find the displacement of the mass at any time using the alternative formula y(t) = Re-wost cos(wo √1-(²-6) where R = √+ and the phase angle = tan-¹
4. A-kg object stretches a spring with stiffness 18 N/m and damping coefficient kg/sec. There is no external driving force acting on the system. The spring initially displaced m upward from its equilibrium position and given an initial velocity 1 m/sec. The oscillator DE and initial conditions describing the system motion is give ++18y = 0, y(0) = −½, y′(0)=1 a. Use the relations in Question 3 to find the displacement (position) of the mass at any time. b. Use the relations/information from Question 3 and Part a. to find the displacement of the mass at any time using the alternative formula y(t) = Re-wost cos(wo √1-(²-6) where R = √+ and the phase angle = tan-¹
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
Related questions
Question
Solve Q4 please
Expert Solution
Step 1:Find the displacement of the mass at any time
Given
Now comparing we have
Considering
Hence the displacement at any time is
Step by step
Solved in 2 steps
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