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For this problem, you must recall that we consider vibrations to occur about the point of...
can someone help me wuth these two questuons 22. (Forced Damped Vibrations: Particle) Prove the approximation...
can
someone help me wuth these two questuons
22. (Forced Damped Vibrations: Particle) Prove the approximation for Quality Factor Q=fn/(t2 - fl) for determining the lightly damped coefficient of damping based on the measure natural frequency and the half-power power bandwidth (f2-fl). 25. (Forced Damped Vibrations: Particle) The 80-1bf block is attached to a 15 lbf/in spring, the end of which is subjected to a periodic support displacement 0.5 sin (8t) ft. Determine the amplitude of the steady-state horizontal motion...
can someone help me with these 2 questions? R15 / ww 25. (Forced Damped Vibrations: Particle)...
can
someone help me with these 2 questions?
R15 / ww 25. (Forced Damped Vibrations: Particle) The 80-1bf block is attached to a 15 lbf/in spring, the end of which is subjected to a periodic support displacement 0.5 sin (8t) ft. Determine the amplitude of the steady-state horizontal motion of the block. What happens to the amplitude of the steady-state motion if (a) the block is doubled in weight?, (b the spring is doubled in stiffness? (c) Discuss your findings....
An 8-kg block A slides in a vertical frictionless slot and is connected to a moving...
An 8-kg block A slides in a vertical frictionless slot and is connected to a moving support B by a spring of constant k=1.6 kN/m. If 8m is given as 150 mm, determine for small oscillations the following: (a) The equation of motion (EOM) (b) The natural frequency of vibration (c) The range of values of of such that the amplitude of the steady state force applied to the block via the spring is less than 120 N. 8.8., sin...
Consider a single degree of freedom (SDOF) with mass-spring-damper system
Consider a single degree of freedom (SDOF) with mass-spring-damper system subjected to harmonic excitation having the following characteristics: Mass, m = 850 kg; stiffness, k = 80 kN/m; damping constant, c = 2000 N.s/m, forcing function amplitude, f0 = 5 N; forcing frequency, ωt = 30 rad/s. (a) Calculate the steady-state response of the system and state whether the system is underdamped, critically damped, or overdamped. (b) What happen to the steady-state response when the damping is increased to 18000 N.s/m? (Hint: Determine...
Consider the following situation: Recall from class we looked at a block attached to a horizontal...
Consider the following situation: Recall from class we looked at a block attached to a horizontal spring, spring constant k, on a frictionless surface. We derived the equation for simple harmonic motion using two methods, force and energy conservation. For this question I would like you to do those derivations again, explaining each step as you go. Tell me why you do each step, and what physical properties allow you to do certain steps. a) Derive the simple harmonic motion...
please answer as many questions as possible. I will “thumb up” the answers. Thanks! 1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2...
please answer as many questions as possible. I will “thumb up” the
answers. Thanks!
1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...
Advanced Vibrations Problem 3 Find the equivalent spring constant and determine natural frequency and period of...
Advanced Vibrations
Problem 3 Find the equivalent spring constant and determine natural frequency and period of oscillation of mass m The cantilever beam is made of steel so that E 2.1 x 1011 N/m2, and m 20 kg. L=1 m 0.1 m 0.01 m k-2000 N/m
Pls help with detailed explanation of solution Consider a block attached to a spring of spring...
Pls help with detailed explanation of solution Consider a block attached to a spring of spring constant k = 400 N/m. At time t1, the horizontal position (as measured from the location of the end of the spring when the spring is at its natural length) is x = 0.100 m, the velocity is v = −13.6 m/s and the acceleration is a = −123 m/s2. Calculate: (a) The frequency of oscillation (Hint: Consider calculating a/x.) (b) The mass of...
7. A block of mass 1.6 kg is moving across a smooth floor at 13.8 m/s...
7. A block of mass 1.6 kg is moving across a smooth floor at 13.8 m/s and encounters a second block (initially at rest) of mass 3.4 kg in a fully elastic collision. The second block is attached to a spring of k = 1250 N/m. Assume the spring to be massless and does not interfere with the collision. After the collision, the second block is under simple harmonic motion. Determine, a. The amplitude of oscillation b. The frequency of...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
can
someone help me wuth these two questuons
22. (Forced Damped Vibrations: Particle) Prove the approximation for Quality Factor Q=fn/(t2 - fl) for determining the lightly damped coefficient of damping based on the measure natural frequency and the half-power power bandwidth (f2-fl). 25. (Forced Damped Vibrations: Particle) The 80-1bf block is attached to a 15 lbf/in spring, the end of which is subjected to a periodic support displacement 0.5 sin (8t) ft. Determine the amplitude of the steady-state horizontal motion...
can
someone help me with these 2 questions?
R15 / ww 25. (Forced Damped Vibrations: Particle) The 80-1bf block is attached to a 15 lbf/in spring, the end of which is subjected to a periodic support displacement 0.5 sin (8t) ft. Determine the amplitude of the steady-state horizontal motion of the block. What happens to the amplitude of the steady-state motion if (a) the block is doubled in weight?, (b the spring is doubled in stiffness? (c) Discuss your findings....
An 8-kg block A slides in a vertical frictionless slot and is connected to a moving support B by a spring of constant k=1.6 kN/m. If 8m is given as 150 mm, determine for small oscillations the following: (a) The equation of motion (EOM) (b) The natural frequency of vibration (c) The range of values of of such that the amplitude of the steady state force applied to the block via the spring is less than 120 N. 8.8., sin...
Consider the following situation: Recall from class we looked at a block attached to a horizontal spring, spring constant k, on a frictionless surface. We derived the equation for simple harmonic motion using two methods, force and energy conservation. For this question I would like you to do those derivations again, explaining each step as you go. Tell me why you do each step, and what physical properties allow you to do certain steps. a) Derive the simple harmonic motion...
please answer as many questions as possible. I will “thumb up” the
answers. Thanks!
1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...
Advanced Vibrations
Problem 3 Find the equivalent spring constant and determine natural frequency and period of oscillation of mass m The cantilever beam is made of steel so that E 2.1 x 1011 N/m2, and m 20 kg. L=1 m 0.1 m 0.01 m k-2000 N/m
7. A block of mass 1.6 kg is moving across a smooth floor at 13.8 m/s and encounters a second block (initially at rest) of mass 3.4 kg in a fully elastic collision. The second block is attached to a spring of k = 1250 N/m. Assume the spring to be massless and does not interfere with the collision. After the collision, the second block is under simple harmonic motion. Determine, a. The amplitude of oscillation b. The frequency of...
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
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