multiple question is related to the same 1 question

Post by **answerhappygod** » Tue May 24, 2022 10:09 am

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For the system as shown where a vertical mass m is connected to the midpoint of the slender bar of mass m and length L through a spring of stiffness k. Denote the displacement of the vertical mass by x and the small rotational angle of the slender bar by 9. The initial conditions are: x(0) = 0, 0(0) = -0.5 rad, x'(0) = 2 m/s, 0(0) = 0. Given: m = 4 kg, L = 1m, k = 2KN/m and let its mode shapes be denoted by [x, e]¹ = [X₁, X₂]¹. www Slender bar of Zk mass m m
A change in initial conditions will lead to the change in mode shapes of the system natural frequencies of the system None of the other given answers is correct system's free vibration response
If a harmonic torque is acted on the bar, its excitation frequency will change the natural frequencies of the system only not change either natural frequencies or mode shapes of the system None of the other given answers is correct change the mode shapes of the system only
The mode shapes of the system are found to be None of the other given answers is correct O [X1,1, X2,1] = [1,0.3] [X1,2, X2,2] = [1,-0.5] O [X1,1, X2,1] = [1,0.3]. [X1,2, X2,2] = [1,-0.3] O [X1,1, X2,1] = [1,0.5] [X1,2, X2,2] = [1,-0.5]
It is known from the given initial conditions that None of the other given answers is correct m has an upward initial velocity of 2m/s the bar has initial anticlockwise rotation angle 0.5 rad the bar has initial clockwise rotation angle 0.5 rad
Natural frequencies of the system are dependent on None of the other given answers is correct initial displacement and rotation angle the location of the springs and the mass the mode shapes of the system
How many mode shapes does the system have? 02 0 3 01 None of the other given answers is correct
If a vertical harmonic force is acted on the vertical mass, the free vibration amplitudes of the system will be reduced be increased None of the other given answers is correct not be affected
What free body diagrams (FBD) need to be done when Newton's 2nd law is used to derive equations of motion? FBD of the mass and that of the bar FBD of the mass and that of the system FBD of the system None of the other given answers is correct
Natural frequencies of the system are O w1 = 33.38 rad/s, w2 = 73.38 rad/s O w1 = 33.38 rad/s, w2 = 16.69 rad/s O None of the other given answers is correct w1 = 16.69 rad/s, w2 = 36.69 rad/s
Mode shapes of the system are not affected by None of the other given answers is correct O the location of the springs initial conditions O the length of the bar