Consider the mass 1/2 on 1/2 spring system in Figure P11.20
Consider the mass 1/2 on 1/2 spring system in Figure P11.20. Three identical springs, with the same spring constant k = 78 N/m, are used to connect the mass (m = 15 kg) to the ceiling. What is the frequency of this simple harmonic oscillator?
Homework Answers
1. A 10 kg box is at rest at the end of an unstretched spring with...
1. A 10 kg box is at rest at the end of an unstretched spring with constant k-4000N/m. The mass is struck with a hummer giving it a velocity of 6.0m/s to the right across a frictionless Surface. What is the amplitude of the resulting oscillations of the system? (a) 2m (b) 0.6m (c) 0.5m (d) 0.4m (e) 0.3m 10 kg 2. When a 0.20kg block is suspended from a vertically hanging spring it stretches the spring from its original...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
A horizontal mass-spring system consists of a 2 kg mass moving on a frictionless surface attached...
A horizontal mass-spring system consists of a 2 kg mass moving on a frictionless surface attached to a spring. The other end of the spring is attached to a wall. The mass is pulled and released. The resultant simple harmonic motion has a period of 5 s and it is observed that the maximum velocity of the mass is 0.3 m/s. a) Calculate the spring constant of the spring. (b) Calculate the amplitude of the motion. Sometime later, when the...
A simple harmonic oscillator is made up of a mass-spring system, with mass of 2.33 kg...
A simple harmonic oscillator is made up of a mass-spring system, with mass of 2.33 kg and a spring constant k = 170 N/m. At time t=1.51 s, the position and velocity of the block are x = 0.11 m and v = 3.164 m/s. What is the velocity of the oscillation at t=0? Be sure to include the minus sign for negative velocity.
Problem 1 (Harmonic Oscillators) A mass-damper-spring system is a simple harmonic oscillator whose dynamics is governed...
Problem 1 (Harmonic Oscillators) A mass-damper-spring system is a simple harmonic oscillator whose dynamics is governed by the equation of motion where m is the mass, c is the damping coefficient of the damper, k is the stiffness of the spring, F is the net force applied on the mass, and x is the displacement of the mass from its equilibrium point. In this problem, we focus on a mass-damper-spring system with m = 1 kg, c-4 kg/s, k-3 N/m,...
A simple harmonic oscillator is made up of a mass-spring system, with mass of 2.82 kg...
A simple harmonic oscillator is made up of a mass-spring system, with mass of 2.82 kg and a spring constant k = 124 N/m. At time t=1.18 s, the position and velocity of the block are x = 0.127 m and v = 3.618 m/s. What is the velocity of the oscillation at t=0? Be sure to include the minus sign for negative velocity. Your answer should be in m/s, but enter only the numerical part in the box.
Question 2 A simple harmonic oscillator is made up of a mass-spring system, with mass of 2.39 kg and a spring constant k = 140 N/m. At time t=1.66 s, the position and velocity of the block are x = 0.1...
Question 2 A simple harmonic oscillator is made up of a mass-spring system, with mass of 2.39 kg and a spring constant k = 140 N/m. At time t=1.66 s, the position and velocity of the block are x = 0.113 m and v = 3.692 m/s. What is the velocity of the oscillation at t=0? Be sure to include the minus sign for negative velocity. Your answer should be in m/s, but enter only the numerical part in the...
1. A suspension system shown in the figure is modified by adding two additional springs each with a spring constant of k, kN/m in addition to the other existing three springs with k 90 kN/m each....
1. A suspension system shown in the figure is modified by adding two additional springs each with a spring constant of k, kN/m in addition to the other existing three springs with k 90 kN/m each. The design also adds two additional dampers in addition to the two existing dampers each with the same viscous damping coefficient c (= 4000 Ns/m). The viscous damping ratiofor the underdamped system, 7 is 0.95. The mass of the system, m = 150 kg....
A spring of spring constant k=261 N/m is attached to a block of mass 1.38 kg...
A spring of spring constant k=261 N/m is attached to a block of mass 1.38 kg and stretched horizontally to a position 15.0 cm from the springs equilibrium position. The spring and mass are released and oscillate in simple harmonic motion across a frictionless horizontal surface. What is the maximum speed obtained by the mass? m/s
A spring-mass system is in simple harmonic motion. How do the period, maximum speed, frequency, and...
A spring-mass system is in simple harmonic motion. How do the period, maximum speed, frequency, and total mechanical energy of the oscillator change after each of the following alterations (up, down or no change): a) Spring constant (k) is increased? b) Amplitude id increased? c) Mass is decreased?
1. A 10 kg box is at rest at the end of an unstretched spring with constant k-4000N/m. The mass is struck with a hummer giving it a velocity of 6.0m/s to the right across a frictionless Surface. What is the amplitude of the resulting oscillations of the system? (a) 2m (b) 0.6m (c) 0.5m (d) 0.4m (e) 0.3m 10 kg 2. When a 0.20kg block is suspended from a vertically hanging spring it stretches the spring from its original...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
Problem 1 (Harmonic Oscillators) A mass-damper-spring system is a simple harmonic oscillator whose dynamics is governed by the equation of motion where m is the mass, c is the damping coefficient of the damper, k is the stiffness of the spring, F is the net force applied on the mass, and x is the displacement of the mass from its equilibrium point. In this problem, we focus on a mass-damper-spring system with m = 1 kg, c-4 kg/s, k-3 N/m,...
1. A suspension system shown in the figure is modified by adding two additional springs each with a spring constant of k, kN/m in addition to the other existing three springs with k 90 kN/m each. The design also adds two additional dampers in addition to the two existing dampers each with the same viscous damping coefficient c (= 4000 Ns/m). The viscous damping ratiofor the underdamped system, 7 is 0.95. The mass of the system, m = 150 kg....
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