Question
In: Advanced Math
A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of 9cos(3t)−6sin(3t) N,determine the steady-state response in the form Rcos(ωt−δ).
Solutions
Colby Messinger answered 2 years agoRelated Solutions
A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 Nm. A mass of 2
kg is attached to the spring, and the motion takes place in a
viscous fluid that offers a resistance numerically equal to the
magnitude of the instantaneous velocity. If the system is driven by
an external force of 15cos(3t)−10sin(3t) N,determine the
steady-state response in the form Rcos(ωt−δ)
spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is attached...
spring-mass system has a spring constant of 3 Nm. A mass of 2 kg
is attached to the spring, and the motion takes place in a viscous
fluid that offers a resistance numerically equal to the magnitude
of the instantaneous velocity. If the system is driven by an
external force of 15cos(3t)−10sin(3t) N,determine the steady-state
response in the form Rcos(ωt−δ).
R= _________
ω=__________
δ=___________
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 N/m. A mass of 2
kg is attached to the spring, and the motion takes place in a
viscous fluid that offers a resis- tance numerically equal to the
magnitude of the instanta- neous velocity. If the system is driven
by an external force of (12 cos 3t − 8 sin 3t) N, determine the
steady-state response.
(a) Find the gain function if the external force is f(t) =
cos(ωt).
(b)...
A spring with a mass of 2 kg has a damping constant 14 kg/s. A force...
A spring with a mass of 2 kg has a damping constant 14 kg/s. A
force of 3.6 N is required to keep the spring stretched 0.3 m
beyond its natural length. The spring is stretched 0.7 m beyond its
natural length and then released. Find the position of the mass at
any time t. (Assume that movement to the right is the
positive x-direction and the spring is attached to a wall
at the left end.) What is x(t)?
A spring with a mass of 1 kg has damping constant 10 kg/s and a spring...
A spring with a mass of 1 kg has damping constant 10 kg/s and a
spring constant 41 kg/s2 . If the spring begins at equilibrium
position and is given a velocity of 2 m/s, find the position of the
mass at any time t. Is this overdamping, critical damping or
underdamping?
A spring with a mass of 1 kg has damping constant 10 kg/s and a spring...
A spring with a mass of 1 kg has damping constant 10 kg/s and a
spring constant 41 kg/s2 . If the spring begins at equilibrium
position and is given a velocity of 2 m/s, find the position of the
mass at any time t. Is this overdamping, critical damping or
underdamping?
A spring with 2 kg mass has damping constant 14 and a force of 6 Newton...
A spring with 2 kg
mass has damping constant 14 and a force of 6 Newton is required to
keep the spring stretched 0.5 meter beyond its natural length. The
spring is stretched 1 meter beyond its natural length and then is
released with zero initial velocity. If an external force of F(t)=
2sin2t is applied to the system, find the position of the mass at
any time t.
A mass of 2 kg is suspended from a spring with known spring constant of 10N/m...
A mass of 2 kg is suspended from a spring with known spring
constant of 10N/m and allowed to come to rest. it is then set in
motion by giving it an initial velocity of 150 cm/sec. Find an
expression for the motion of the mass, assuming no air
resistance.
A block with a mass of 0.488 kg is attached to a spring of spring constant...
A block with a mass of 0.488 kg is attached to a spring of
spring constant 428 N/m. It is sitting at equilibrium. You then
pull the block down 5.10 cm from equilibrium and let go. What is
the amplitude of the oscillation?
A block with a mass of 0.976 kg is attached to a spring of
spring constant 428 N/m. It is sitting at equilibrium. You then
pull the block down 5.10 cm from equilibrium and let go. What...
undamped spring-mass system with mass 6 kg and a spring which is stretched 2 meter by...
undamped spring-mass system with mass 6 kg and a spring which is
stretched 2 meter by 10 Newtons. Suppose an oscillating force 3
cos(ωt) is acting on the system. What value of ω causes resonance?
For this value of ω, find a formula for x, the distance between the
weight and equilibrium t seconds after the weight starts at x = 0
at rest.
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