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Problem 5: A block weighing 40.0 N is suspended from a spring that has a force...
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 block of mass 1.5kg is suspended from the ceiling by a spring with a spring...
a block of mass 1.5kg is suspended from the ceiling by
a spring with a spring constant k=15N/m. a force of 20N is applied
to the block in the +y-direction thereby compressing the spring
(see picture). the block is initially at rest. at time t=0, the
force is removed and the block starts to oscillate down and up.
what is the amplitude of the oscillation?
g constant k 15 Nm. A force of see picture. The block is
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is...
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is driven by an external force with frequency w and amplitude Fo. 2662 where, wo is the (a) Show that the maximum oscillation amplitude occurs when w = natural frequency of the system. where, wd is the (b) Show that the maximum oscillation amplitude at that frequency is A = frequency of the undriven, damped system.
A spring with spring constant k is suspended from the ceiling. A block of mass M...
A spring with spring constant k is suspended from the ceiling. A block of mass M hangs from the spring. A bullet of mass m is fired vertically upward into the bottom of the block, get embedded in it, and the spring's maximum compression d is measured. The block and bullet system then oscillates. Find an expression for the bullet's speed vB in terms of m, M, k and d. Find the frequency ? of the oscillation. Find the...
3. A mass weighing 4 pounds is suspended from a spring whose constant is 3 lb/ft. The entire syst...
3. A mass weighing 4 pounds is suspended from a spring whose constant is 3 lb/ft. The entire system is emersed in a fluid offering a damping force numerically equal to the instantaneous velocity. The mass is initially released from rest at a point 2 feet below the equilibrium position. An external force equal to f(t) = e-t is impressed on the system. Find the steady-state solution.
3. A mass weighing 4 pounds is suspended from a spring whose constant...
A 10 kg object is suspended from a spring causes the spring to lengthen by 5...
A 10 kg object is suspended from a spring causes the spring to lengthen by 5 cm down. The object is subjected to a force of 2cos (t / 4) N (newtons), and it moves in an environment where the viscosity force is 1N when the speed is 6 cm / s. If the object is set in motion from its position of equilibrium with an initial speed of 2 cm / s, formulate the initial value problem that describes...
1. The exponential damping factor K of a spring is 1/10 the critical value. The spring...
1. The exponential damping factor K of a spring is 1/10 the critical value. The spring has an undamped frequency of wo. A mass m is attached to the spring. Find a) The resonant frequency in terms of w. (3 marks) b) The quality factor (1 mark) c) The phase angle when the spring is driven by a force F. at a driving frequency (1 marks) d) The steady-state amplitude of oscillation when it is driven at this frequency in...
A 10 kg object is suspended from a spring causes the spring to lengthen by 5...
A 10 kg object is suspended from a spring causes the spring to lengthen by 5 cm down. The object is subjected to a force of 2cos (t / 4) N (newtons), and it moves in a medium where the viscosity force is 1N when the speed is 6 cm / s. If the object is set in motion from its position of equilibrium with an initial speed of 2 cm / s, formulate the initial value problem that describes...
question will save this response. Questo Question 10 10 points A mass mis suspended from a...
question will save this response. Questo Question 10 10 points A mass mis suspended from a spring of stiffness 403 N/m, with natural frequency 30 rad/s. It is subjected to harmonic force of 1.73 N and having a forcing frequency of 7 rad's. Find the maximum amplitude of the forced motion of the mass in meters.
A block weighing 14.0 N is attached to the lower end of a vertical spring (k...
A block weighing 14.0 N is attached to the lower end of a vertical spring (k = 238.0 N/m), the other end of which is attached to a ceiling. The block oscillates vertically and has a kinetic energy of 1.90 J as it passes through the point at which the spring is unstretched. (a) What is the period of the oscillation? (b) Use the law of conservation of energy to determine the maximum distance the block moves above the point...
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 block of mass 1.5kg is suspended from the ceiling by
a spring with a spring constant k=15N/m. a force of 20N is applied
to the block in the +y-direction thereby compressing the spring
(see picture). the block is initially at rest. at time t=0, the
force is removed and the block starts to oscillate down and up.
what is the amplitude of the oscillation?
g constant k 15 Nm. A force of see picture. The block is
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is driven by an external force with frequency w and amplitude Fo. 2662 where, wo is the (a) Show that the maximum oscillation amplitude occurs when w = natural frequency of the system. where, wd is the (b) Show that the maximum oscillation amplitude at that frequency is A = frequency of the undriven, damped system.
3. A mass weighing 4 pounds is suspended from a spring whose constant is 3 lb/ft. The entire system is emersed in a fluid offering a damping force numerically equal to the instantaneous velocity. The mass is initially released from rest at a point 2 feet below the equilibrium position. An external force equal to f(t) = e-t is impressed on the system. Find the steady-state solution.
3. A mass weighing 4 pounds is suspended from a spring whose constant...
1. The exponential damping factor K of a spring is 1/10 the critical value. The spring has an undamped frequency of wo. A mass m is attached to the spring. Find a) The resonant frequency in terms of w. (3 marks) b) The quality factor (1 mark) c) The phase angle when the spring is driven by a force F. at a driving frequency (1 marks) d) The steady-state amplitude of oscillation when it is driven at this frequency in...
question will save this response. Questo Question 10 10 points A mass mis suspended from a spring of stiffness 403 N/m, with natural frequency 30 rad/s. It is subjected to harmonic force of 1.73 N and having a forcing frequency of 7 rad's. Find the maximum amplitude of the forced motion of the mass in meters.
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