A 5 kg mass is hung on a spring with a stiffness of 70 N/m. find...
A 5 kg mass is hung on a spring with a stiffness of 70 N/m. find the oscillation response of this mass as a function of time, if x0 = 1 m and v0 = -0.45 m/s. x0 is the initial displacement and v0 is the initial speed. please show all work
Homework Answers
A block with mass m =7.3 kg is hung from a vertical spring. When the mass...
A block with mass m =7.3 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.29 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.9 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of
the spring?
2) What is the oscillation frequency?
3) After t = 0.45 s what is the speed of the...
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From...
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From this information you can determine the spring constant, k. Next, the spring is set up horizontally with the 0.300 kg. mass resting on a frictionless table. The block is pushed so that the spring is compressed 0.100 m from the equilibrium point, and released from rest. Determine: The spring constant k (in N/m)? The amplitude of the horizontal oscillation (in m)? The angular frequency,...
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 mass m = 1 kg is attached to the end of a spring of stiffness...
A mass m = 1 kg is attached to the end of a spring of stiffness
k = 1 N / m and glides without friction on a horizontal plane. An
external force F (t) = 2cos (t) is continuously applied to the
mass. The mass is initially at its position of static equilibrium
and its speed is zero.
1.Build the problem with Initial values which models this
situation.
2.Calculate the displacement of the mass as a function of
time....
A 5-kg mass is attached to a spring with stiffness 15 N/m. The damping constant for...
A 5-kg mass is attached to a spring with stiffness 15 N/m. The damping constant for the system is 10V3 N-sec/m. If the mass is pulled 10 cm to the right of equilibrium and given an initial rightward velocity of 2 m/sec, what is the maximum displacement from equilibrium that it will attain? The maximum displacement is meters. (Type an exact answer, using radicals as needed.)
A block with mass m =6.6 kg is hung from a vertical spring. When the mass...
A block with mass m =6.6 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.24 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.3 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? N/m Submit 2) What is the oscillation frequency? Hz Submit 3) After t = 0.41 s what is...
A block with mass m =6.2 kg is hung from a vertical spring. When the mass...
A block with mass m =6.2 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.22 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.7 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of the spring?
2) What is the oscillation frequency?
3) After t = 0.33 s what is the speed of the...
A block with mass m =7.2 kg is hung from a vertical spring. When the mass...
A block with mass m =7.2 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.25 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.6 m/s. The block oscillates on the spring without friction. What is the spring constant of the spring? What is the oscillation frequency? After t = 0.39 s what is the speed of the block? What is...
A mass of 50kg is hung from a spring of stiffness ?=?.?×105 (?/? ) and damper...
A mass of 50kg is hung from a spring of stiffness
?=?.?×105 (?/? ) and damper ?=100 ?.?/? , which is
attached to two aluminum beams with ?=71×109 (Pa),
moment of inertia ?=?.?×10−? (??), and length
of 255 (mm ). The beam is supported at its free end.
Determine:
(a) Equivalent stiffness and equation of motion of the
system.
(b) Damped natural frequency of the system (??) in
(Hz).
(c) Free vibration response of the system in time domain,?(?), when...
Problem A spring-mass system has mass of 0.5 kg and stiffness coefficient of 32 N/m. The...
Problem A spring-mass system has mass of 0.5 kg and stiffness coefficient of 32 N/m. The system is given initial conditions xo = -1 mm and vo -8 mm/s. a) Calculate the maximum values of displacement, velocity and acceleration. b) Calculate the phases of the displacement, velocity and acceleration.
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 mass m = 1 kg is attached to the end of a spring of stiffness
k = 1 N / m and glides without friction on a horizontal plane. An
external force F (t) = 2cos (t) is continuously applied to the
mass. The mass is initially at its position of static equilibrium
and its speed is zero.
1.Build the problem with Initial values which models this
situation.
2.Calculate the displacement of the mass as a function of
time....
A 5-kg mass is attached to a spring with stiffness 15 N/m. The damping constant for the system is 10V3 N-sec/m. If the mass is pulled 10 cm to the right of equilibrium and given an initial rightward velocity of 2 m/sec, what is the maximum displacement from equilibrium that it will attain? The maximum displacement is meters. (Type an exact answer, using radicals as needed.)
A block with mass m =6.6 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.24 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.3 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? N/m Submit 2) What is the oscillation frequency? Hz Submit 3) After t = 0.41 s what is...
A block with mass m =6.2 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.22 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.7 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of the spring?
2) What is the oscillation frequency?
3) After t = 0.33 s what is the speed of the...
A block with mass m =7.2 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.25 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.6 m/s. The block oscillates on the spring without friction. What is the spring constant of the spring? What is the oscillation frequency? After t = 0.39 s what is the speed of the block? What is...
A mass of 50kg is hung from a spring of stiffness
?=?.?×105 (?/? ) and damper ?=100 ?.?/? , which is
attached to two aluminum beams with ?=71×109 (Pa),
moment of inertia ?=?.?×10−? (??), and length
of 255 (mm ). The beam is supported at its free end.
Determine:
(a) Equivalent stiffness and equation of motion of the
system.
(b) Damped natural frequency of the system (??) in
(Hz).
(c) Free vibration response of the system in time domain,?(?), when...
Problem A spring-mass system has mass of 0.5 kg and stiffness coefficient of 32 N/m. The system is given initial conditions xo = -1 mm and vo -8 mm/s. a) Calculate the maximum values of displacement, velocity and acceleration. b) Calculate the phases of the displacement, velocity and acceleration.
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