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6. A 1-kilogram mass (m=1) is attached to a spring whose constant is 13 N/m, (k...
A 1 kilogram mass is attached to a spring whose constant is 24 N/m, and the...
A 1 kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion the following is true (a) the mass is initially released from rest from a point 1 meter below the equilibrium position 11 31 1 -S4 (t) = e + e 4 m (b) the mass is initially released...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m,...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is then submerged in a líquid that imparts a damping force equal to 4 times the intantaruus velocity. At t = 0 the mass is released from the equilibrium position with no initial velocity. An external force t)-ault-3) is applied (a) Write f(t), the external force, as a piecewise function and sketch its graph b) Write the initial-value problem (c)...
ONLY attempt to solve if you know what you are doing. A mass of 1 kg is attached to a spring whose constant is 5 N/m. Initially, the mass is released 1 m below the equilibrium position with a downwar...
ONLY attempt to solve if you know what you are
doing.
A mass of 1 kg is attached to a spring whose constant is 5 N/m. Initially, the mass is released 1 m below the equilibrium position with a downward velocity of 5 m/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocit y. a) Find the equation of motion if the mass is driven...
Thank you in advance Question: A mass weighing 4 N is attached to a spring whose...
Thank you in advance
Question: A mass weighing 4 N is attached to a spring whose constant is 2 N/m. The mass is initially released from a point 1 m above the equilibrium position and surrounding medium offers a damping force that is numerically equal to the instantaneous velocity. (a) Derive the system of differential equation describing the motion of the mass. (b) Find the equation of motion if the mass has a downward velocity of 8 m/s by using:...
A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft
A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 16 ft/s. (g = 32 ft/s2) a. Find the equation of motion. b. What type of motion is this? c. Determine the time at which the mass passes through the equilibrium position.
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is then submerged in a liquid that inparts a damping force equal to 4 tines the instantansous velocity. At t = 0 the mass is released from the equilibrium position with no initial velocity. An external force t)4t-3) is applied. (a) Write (t), the external force, as a piecewise function and sketch its graph b) Write the initial-value problem (c)Solve...
2. A mass weighing 4 pounds is attached to a spring whose spring constant is 2...
2. A mass weighing 4 pounds is attached to a spring whose spring constant is 2 Ib/ft. The system is subjected to a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. (a) Establish the initial-value problem which governs this motion. (b) Solve this initial-value problem. (c) Find the time at which the mass attains its extreme displacement...
3a. [10pts) A 32 lb weight is attached to a spring whose constant is 25 lb/ft....
3a. [10pts) A 32 lb weight is attached to a spring whose constant is 25 lb/ft. Initially the mass is released I ft below the equilibrium position with a downward velocity of 1 ft/sec. Find the equation of motion 3b. 10pts) Determine the equation of motion in part(a) if the surrounding medium offers a damping force numerically equal to 10 times the instantaneous velocity. 3c. [14pts) Determine the equation of motion in parts(a)-(b) if the weight is driven by an...
Use Laplace's method to solve A mass of 1 slug is attached to a spring whose...
Use Laplace's method to solve A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 3 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity. (a) Find the equation of motion if the mass is driven by an external force equal to f(t)...
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 1 kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion the following is true (a) the mass is initially released from rest from a point 1 meter below the equilibrium position 11 31 1 -S4 (t) = e + e 4 m (b) the mass is initially released...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is then submerged in a líquid that imparts a damping force equal to 4 times the intantaruus velocity. At t = 0 the mass is released from the equilibrium position with no initial velocity. An external force t)-ault-3) is applied (a) Write f(t), the external force, as a piecewise function and sketch its graph b) Write the initial-value problem (c)...
ONLY attempt to solve if you know what you are
doing.
A mass of 1 kg is attached to a spring whose constant is 5 N/m. Initially, the mass is released 1 m below the equilibrium position with a downward velocity of 5 m/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocit y. a) Find the equation of motion if the mass is driven...
Thank you in advance
Question: A mass weighing 4 N is attached to a spring whose constant is 2 N/m. The mass is initially released from a point 1 m above the equilibrium position and surrounding medium offers a damping force that is numerically equal to the instantaneous velocity. (a) Derive the system of differential equation describing the motion of the mass. (b) Find the equation of motion if the mass has a downward velocity of 8 m/s by using:...
6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is then submerged in a liquid that inparts a damping force equal to 4 tines the instantansous velocity. At t = 0 the mass is released from the equilibrium position with no initial velocity. An external force t)4t-3) is applied. (a) Write (t), the external force, as a piecewise function and sketch its graph b) Write the initial-value problem (c)Solve...
2. A mass weighing 4 pounds is attached to a spring whose spring constant is 2 Ib/ft. The system is subjected to a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. (a) Establish the initial-value problem which governs this motion. (b) Solve this initial-value problem. (c) Find the time at which the mass attains its extreme displacement...
3a. [10pts) A 32 lb weight is attached to a spring whose constant is 25 lb/ft. Initially the mass is released I ft below the equilibrium position with a downward velocity of 1 ft/sec. Find the equation of motion 3b. 10pts) Determine the equation of motion in part(a) if the surrounding medium offers a damping force numerically equal to 10 times the instantaneous velocity. 3c. [14pts) Determine the equation of motion in parts(a)-(b) if the weight is driven by an...
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...
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