A spring-mass system with m = 8 kg and k = 4000 N/m subjected to a...
A spring-mass system with m = 8 kg and k = 4000 N/m
subjected to a harmonic force of amplitude 200 N and
frequency (). When the mass of the system is increased
by 20% from its original value, the amplitude of the
forced motion of the new mass is observed to be 25% off
the original one. Determine the frequency of the
harmonic force and the amplitude of original system
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A spring-mass system with m = 8 kg and k = 4000 N/m
subjected to a...
A spring-mass system with m-10 kg and k-5000 N/m is subjected to a harmonic force having...
A spring-mass system with m-10 kg and k-5000 N/m is subjected to a harmonic force having an amplitude of 250 N and frequency of ow. If the maximum amplitude of the mass is observed to be 100 mm, find the value of o. (Points 4/10)
Problem 5: A block weighing 40.0 N is suspended from a spring that has a force...
Problem 5: A block weighing 40.0 N is suspended from a spring that has a force constant of 200 N/m. The system is undamped (b 0) and is subjected to a harmonic driving force of frequency 10.0 Hz, resulting in a forced-motion amplitude of 2.00 cm. (a) Determine the maximum value of the driving force. The same system of block and spring are now moving in a fluid with damping coefficient b25 kg/s. The system is driven by an external...
A spring with k = 245 N/m has a mass of m = 4.35 kg attached...
A spring with k = 245 N/m has a mass of m = 4.35 kg attached to it. An external force F whose maximum value is 825 N drives the spring mass system so that it oscillates without any resistive forces. If the amplitude of the oscillatory motion of the spring-mass system is 3.65 cm, find the frequency of the external force that drives this motion. Hz
Problem # 4 15 points The base of a damped spring-mass system, with m 25 kg...
Problem # 4 15 points The base of a damped spring-mass system, with m 25 kg and k 2500 N/m, is subjected to a harmonic excitation y(t) Xo cos ω. The amplitude of the mass is found to be 0.05 m when the base is excited at the natural frequency of the system with Yo 0.0 m. Determine the damping constant of the system.
A horizontal mass-spring system consists of a block (m=1.5 kg) on a frictionless to connected to...
A horizontal mass-spring system consists of a block (m=1.5 kg) on a frictionless to connected to a spring (k = 750 N/m). The system is initially at rest and is in equilibrium MI Second DIOCK (M=1.5 kg) approaches with a speed of 3.5 m/s and undergoes all inelastic collision with the first block (i.e.. they stick together after the collision). (a) What is the amplitude of the resulting simple harmonic motion (in cm)? (b) What is the angular frequency (w)...
QUESTION 10 When a 200 g mass attached to a horizontal spring (k= 25 N/m) is...
QUESTION 10 When a 200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system: (a) The angular frequency (rad/sec) QUESTION 11 When a 200 g mass attached to a horizontal spring (k-25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system. (b) Th...
5. A 2 kg mass connected to a spring with spring constant k = 10 N/m...
5. A 2 kg mass connected to a spring with spring constant k = 10 N/m oscillates in simple harmonic motion with an amplitude of A = 0.1 m. What is the kinetic energy of the mass when its position is at x = 0.05 m?
1. A spring-mass-damper system of M =0.05 Ib.s/in, K=15 lb/in, and C =0.7 Ib.s/in is subjected...
1. A spring-mass-damper system of M =0.05 Ib.s/in, K=15 lb/in, and C =0.7 Ib.s/in is subjected to a harmonic force F(t)=30 Cos (10t) Ibf. Determine: (a) The equation of motion of the system (b) The response as function of time (c) The value of the resonance frequency (d) The transmitted force (e) The range of frequencies for which greater force would be transmitted (f) Redesign the system such that only full force is transmitted to the foundation Plt) x(+)
A second order mechanical system of a mass connected to a spring and a damper is subjected to a s...
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor un-damped natural frequency on a. and the
A second order mechanical system of a...
EXam 2 Name: 1. A n undamped vertical system consists of a mass weighing 100 N...
EXam 2 Name: 1. A n undamped vertical system consists of a mass weighing 100 N and a spring of stiffness 5000 N/m. It is acted on by a harmonic force of amplitude 80 N and frequency 5 Hz. Find i) The displacement of the spring due to the weight of the mass, The static displacement of the spring due to the maximum applied force, and The amplitude of forced motion of the mass for zero initial conditions iii)
A spring-mass system with m-10 kg and k-5000 N/m is subjected to a harmonic force having an amplitude of 250 N and frequency of ow. If the maximum amplitude of the mass is observed to be 100 mm, find the value of o. (Points 4/10)
Problem 5: A block weighing 40.0 N is suspended from a spring that has a force constant of 200 N/m. The system is undamped (b 0) and is subjected to a harmonic driving force of frequency 10.0 Hz, resulting in a forced-motion amplitude of 2.00 cm. (a) Determine the maximum value of the driving force. The same system of block and spring are now moving in a fluid with damping coefficient b25 kg/s. The system is driven by an external...
Problem # 4 15 points The base of a damped spring-mass system, with m 25 kg and k 2500 N/m, is subjected to a harmonic excitation y(t) Xo cos ω. The amplitude of the mass is found to be 0.05 m when the base is excited at the natural frequency of the system with Yo 0.0 m. Determine the damping constant of the system.
A horizontal mass-spring system consists of a block (m=1.5 kg) on a frictionless to connected to a spring (k = 750 N/m). The system is initially at rest and is in equilibrium MI Second DIOCK (M=1.5 kg) approaches with a speed of 3.5 m/s and undergoes all inelastic collision with the first block (i.e.. they stick together after the collision). (a) What is the amplitude of the resulting simple harmonic motion (in cm)? (b) What is the angular frequency (w)...
QUESTION 10 When a 200 g mass attached to a horizontal spring (k= 25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system: (a) The angular frequency (rad/sec) QUESTION 11 When a 200 g mass attached to a horizontal spring (k-25 N/m) is pushed 10 cm into the spring and released, it undergoes simple harmonic motion. Find the quantities below for this oscillating system. (b) Th...
1. A spring-mass-damper system of M =0.05 Ib.s/in, K=15 lb/in, and C =0.7 Ib.s/in is subjected to a harmonic force F(t)=30 Cos (10t) Ibf. Determine: (a) The equation of motion of the system (b) The response as function of time (c) The value of the resonance frequency (d) The transmitted force (e) The range of frequencies for which greater force would be transmitted (f) Redesign the system such that only full force is transmitted to the foundation Plt) x(+)
A second order mechanical system of a mass connected to a spring and a damper is subjected to a sinusoidal input force mi+ci +kx- Asin(ot) The mass is m-5 kg, the damping constant is c = 1 N-sec/m, the spring stiffness is 2 N/m, and the amplitude of the input force is A- 3 N. For this system give explicit numerical values for the damping factor un-damped natural frequency on a. and the
A second order mechanical system of a...
EXam 2 Name: 1. A n undamped vertical system consists of a mass weighing 100 N and a spring of stiffness 5000 N/m. It is acted on by a harmonic force of amplitude 80 N and frequency 5 Hz. Find i) The displacement of the spring due to the weight of the mass, The static displacement of the spring due to the maximum applied force, and The amplitude of forced motion of the mass for zero initial conditions iii)
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