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8. A 10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg...
8. A10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg mass...
8. A10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg mass is attached to the spring, initially displaced 25 cmbelow equilibrium, and given an upward velocity of 2 m/s Find its displacement for t > 0. Find the frequency, period, amplitude, and phase angle of the motion.
An object stretches a spring 6 inches in equilibrium. Find its displacement y for t> 0...
An object stretches a spring 6 inches in equilibrium. Find its displacement y for t> 0 (where y is the displacement of the object from its equilibrium position, measured positive upward), if it's initially displaced 3 inches above equilibrium and given a downward velocity of 6 inches/s. Find the frequency, period, amplitude and phase angle of the motion.
A 2 kg mass is hung from a spring and stretches it 12 cm. The mass...
A 2 kg mass is hung from a spring and stretches it 12 cm. The mass is also attached to a viscous damper that exerts a force of 3 N when the velocity of the mass is 4 m/s. The mass is pulled down 7 cm below its equilibrium position and given an initial downward velocity of 10 cm/s. Find an initial value problem that models the displacement of the mass, measured in meters, from the equilibrium position.
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of...
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.80 N is applied. A 0.510-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a)...
A--Kg mass is attached to a spring with a stiffness k = 16-. The mass is displaced 0.5m to 2-. Ne...
A--Kg mass is attached to a spring with a stiffness k = 16-. The mass is displaced 0.5m to 2-. Neg the right of the equilibrium point and given an outward velocity of V 2_. Neglecting any damping or external forces that may be present, determine the equation of motion of the mass along with its amplitude, period and natural frequency. How long after release does the mass pass through the equilibrium point? sec
A--Kg mass is attached to a...
A mass of 2 kg stretches a spring 40 cm. The mass is pulled downward 1m...
A mass of 2 kg stretches a spring 40 cm. The mass is pulled downward 1m and released with an upwards velocity of 2m/s. Assuming there is no damping and that^1 the acceleration due to gravity is g = 10m/s^2, determine the position u(t) of the mass at time t, as well as the amplitude, period, frequency, and phase. Provide a rough sketch of the graph of the solution.
A mass weighting 3 lb stretches a spring 3 in. if the mass is pushed upward,...
A mass weighting 3 lb stretches a spring 3 in. if the mass is pushed upward, contracting the spring a distance of 1 in, and then set in motion with a downward velocity of 2 ft/s, and if there is no damping. (1) determine the position u(t) of the mass at any time t. (2) Determine the frequency, period, amplitude, and phase of the motion. (3) Plot u(t), and find when does the mass first return to its equilibrium position?...
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of...
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 6.40 N is applied. A 0.520-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (a)...
4. 5pts] A 5 kg object is attached to a spring and stretches it 0.1 m...
4. 5pts] A 5 kg object is attached to a spring and stretches it 0.1 m on its own. There is no damping in the system, but an external force is present, described by the function F(t) 8coswt. The object is initially displaced 25 cm downward from equilibrium with no initial velocity and the system experiences resonance. Find the displacement of the object at any time t.
please solve both. thank you! A mass of 1.25 kg stretches a spring 0.06 m. The...
please solve both. thank
you!
A mass of 1.25 kg stretches a spring 0.06 m. The mass is in a medium that exerts a viscous resistance of 56 N when the mass has a velocity of 2 . The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.03 m and released. Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive...
8. A10 kg mass stretches a spring 70 cm in equilibrium. Suppose a 2 kg mass is attached to the spring, initially displaced 25 cmbelow equilibrium, and given an upward velocity of 2 m/s Find its displacement for t > 0. Find the frequency, period, amplitude, and phase angle of the motion.
An object stretches a spring 6 inches in equilibrium. Find its displacement y for t> 0 (where y is the displacement of the object from its equilibrium position, measured positive upward), if it's initially displaced 3 inches above equilibrium and given a downward velocity of 6 inches/s. Find the frequency, period, amplitude and phase angle of the motion.
A--Kg mass is attached to a spring with a stiffness k = 16-. The mass is displaced 0.5m to 2-. Neg the right of the equilibrium point and given an outward velocity of V 2_. Neglecting any damping or external forces that may be present, determine the equation of motion of the mass along with its amplitude, period and natural frequency. How long after release does the mass pass through the equilibrium point? sec
A--Kg mass is attached to a...
A mass of 2 kg stretches a spring 40 cm. The mass is pulled downward 1m and released with an upwards velocity of 2m/s. Assuming there is no damping and that^1 the acceleration due to gravity is g = 10m/s^2, determine the position u(t) of the mass at time t, as well as the amplitude, period, frequency, and phase. Provide a rough sketch of the graph of the solution.
4. 5pts] A 5 kg object is attached to a spring and stretches it 0.1 m on its own. There is no damping in the system, but an external force is present, described by the function F(t) 8coswt. The object is initially displaced 25 cm downward from equilibrium with no initial velocity and the system experiences resonance. Find the displacement of the object at any time t.
please solve both. thank
you!
A mass of 1.25 kg stretches a spring 0.06 m. The mass is in a medium that exerts a viscous resistance of 56 N when the mass has a velocity of 2 . The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.03 m and released. Find an function to express the object's displacement from the spring's equilibrium position, in m after t seconds. Let positive...
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