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An object of weight 6 Newton stretches a vertically hanging spring by 3/20 meter. Then this...
A 10 10 kilogram object suspended from the end of a vertically hanging spring stretches the...
A 10 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 9.8 centimeters. At time ?=0 t = 0 , the resulting mass-spring system is disturbed from its rest state by the force ?(?)=150cos(10?) F ( t ) = 150 cos ( 10 t ) . The force ?(?) F ( t ) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. Solve the initial...
(1 point) A 10 kilogram object suspended from the end of a vertically hanging spring stretches th...
(1 point) A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time 0, the resulting mass- spring system is disturbed from its rest state by the force F(t) 70 cos(8t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k Newtons/meter b. Formulate the initial value problem for y(), where y(t) is the displacement...
(10 pts) A 10 kilogram object suspended from the end of a vertically hanging spring stretches...
(10 pts) A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 170 cos(10t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k. k = 1000 Newtons / meter b. Formulate the initial value problem...
a) A hanging spring stretches by 35.0 cm when an object of mass 450 g is...
a) A hanging spring stretches by 35.0 cm when an object of mass 450 g is hung on it at rest. In this situation, we define its position as x =0. The object is pulled down an additional 18.0 cm and released from rest to oscillate without friction. What is its position x at a moment 84.4 s later? (b) Find the distance traveled by the vibrating object in part (a). (c) What If? Another hanging spring stretches by 35.5...
6. A 32-pound object stretches a spring 8 feet to reach equilibrium. The object is then...
6. A 32-pound object stretches a spring 8 feet to reach equilibrium. The object is then pulled to a point that is I foot below the equilibrium position and released from with an upward velocity of 6 feet per second Assume a damping force of 5. What is the position of the object when it attains its maximum displacement above the equilibrium position? Express your answer to 4 decimal places
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring...
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 8 m. The mass is in a medium that exerts a viscous resistance of 576 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 18 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7= c) If the initial value...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 9 m. The mass is in a medium that exerts a viscous resistance of 3024 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 14 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7 c) If the initial value...
Suppose you attach an object with mass m to a at the end of a vertically...
Suppose you attach an object with mass m to a at the end of a vertically hanging spring originally at rest, and let it bounce up and down. You release the object from rest at the spring's original rest length. Part (a) If the spring has a force constant of 12 N/m and the mass of the object is 0.35 kg, find the amplitude of the oscillations, in meters. Part(b) Find the maximum velocity of the mass, in meters per...
3) A mass spring oscillator is created. It has a period of 6 seconds and an...
3) A mass spring oscillator is created. It has a period of 6 seconds and an amplitude of 2 cm. When a 0.70 kg-object is attached to the spring hung vertically, it stretches 0.15 m from the equilibrium position. (The following questions can be answered in either order depending on method ) A. What is the maximum speed of the oscillator? B. What is mass hanging on the spring?
3) A mass spring oscillator is created. It has a period of 6 seconds and an...
3) A mass spring oscillator is created. It has a period of 6 seconds and an amplitude of 2 cm. When a 0.70 kg-object is attached to the spring hung vertically, it stretches 0.15 m from the equilibrium position. (The following questions can be answered in either order depending on methoorium positiobject is alta.created. It ha A. What is the maximum speed of the oscillator? B. What is mass hanging on the spring?
(1 point) A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time 0, the resulting mass- spring system is disturbed from its rest state by the force F(t) 70 cos(8t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k Newtons/meter b. Formulate the initial value problem for y(), where y(t) is the displacement...
(10 pts) A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 170 cos(10t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k. k = 1000 Newtons / meter b. Formulate the initial value problem...
6. A 32-pound object stretches a spring 8 feet to reach equilibrium. The object is then pulled to a point that is I foot below the equilibrium position and released from with an upward velocity of 6 feet per second Assume a damping force of 5. What is the position of the object when it attains its maximum displacement above the equilibrium position? Express your answer to 4 decimal places
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 8 m. The mass is in a medium that exerts a viscous resistance of 576 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 18 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7= c) If the initial value...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 9 m. The mass is in a medium that exerts a viscous resistance of 3024 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 14 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7 c) If the initial value...
3) A mass spring oscillator is created. It has a period of 6 seconds and an amplitude of 2 cm. When a 0.70 kg-object is attached to the spring hung vertically, it stretches 0.15 m from the equilibrium position. (The following questions can be answered in either order depending on method ) A. What is the maximum speed of the oscillator? B. What is mass hanging on the spring?
3) A mass spring oscillator is created. It has a period of 6 seconds and an amplitude of 2 cm. When a 0.70 kg-object is attached to the spring hung vertically, it stretches 0.15 m from the equilibrium position. (The following questions can be answered in either order depending on methoorium positiobject is alta.created. It ha A. What is the maximum speed of the oscillator? B. What is mass hanging on the spring?
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