Please show all work. A spring has natural frequency w=2. An external force f(t)=3cos(2t) is applied...
Please show all work.
A spring has natural frequency w=2. An external force f(t)=3cos(2t) is applied to the spring. Its initial displacement is 1 and initial velocity is 2. Find the displacement of the spring y(t) at any time t. What happens to the spring in the long run?
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A spring has natural frequency w=2. An external force
f(t)=3cos(2t) is applied...
A 10 kg mass attached to a spring stretches the spring 2 m beyond its natural...
A 10 kg mass attached to a spring stretches the spring 2 m beyond its natural length. At time t = 0, an external force of f (t ) = 20cos 4t Newtons is applied to the system, and the system is damped by a force of 3 N per m/s of motion. Assuming an initial position at equilibrium and no initial velocity, find the equation of motion and the phase angle. You can use decimals here if you hate...
Discuss the effect of the frequency of the driving force on the amplitude and phase of...
Discuss the effect of the frequency of the driving force on the amplitude and phase of the oscillator, by deriving the solution of the relevant differential equation. A spring stretches by 1.96 m when a 2 kg mass is attached. The system is then submerged in liquid which imparts a damping force numerically equal to 4 times the velocity of the mass. Find the value of the steady state solution after T/2 second if an external force f(t)= 2sin 2t(kg.m/sec2)...
A 2kg mass is suspended vertically from a spring attached to a fixed support. The spring...
A 2kg mass is suspended vertically from a spring attached to a fixed support. The spring satisfies Hooke's law with a spring constant of k 18 N m1. No damping is present. Gravity acts on the mass with a gravitational constant of g 10 m s2. An external force of R 24 sin (wt) Newton is applied to the mass, directed downwards, where t is the time in seconds since the mass was set in motion and w is a...
(g) The relationship of the applied force F and the displacement x of a spring has...
(g) The relationship of the applied force F and the displacement x of a spring has the gen eral form F = kx, where the constant k is called the spring constant and is a measure of the "stiffness" of the spring. Notice that this equation has the form of a straight line. Find the value of the spring constant k of the spring used in determining the experi- mental data plotted in the Fig. 1.6 graph. (Note: Because k...
a steel ball weighing 128 lb is suspended from a spring, whereupon the spring is stretched 2 ft from its natural length
a steel ball weighing 128 lb is suspended from a spring, whereupon the spring is stretched 2 ft from its natural length. the ball is started in motion with no initial velocity by displacing it 6 in above the equilibrium position. assuming no damping force, find an expression for a)the position of the ball at any time.b)the position of the bal at t=pai/12 secc)the circular frequency, natural frequency and period for this system
Please show all work! Thank you! P.S. 5.2 Q2 A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the...
Please show all work! Thank you!
P.S. 5.2 Q2
A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 15 inches above equilibrium position x(t) Preview (b) the weight is released 15 inches above the equilibrium position with an upward velocity...
A 5 kilogram mass suspended from the end of a vertical spring stretches it by 1.225 metres. The system is placed in a medium offering a resistance (in Newtons) equal to 45 times the instantaneous vel...
A 5 kilogram mass suspended from the end of a vertical spring stretches it by 1.225 metres. The system is placed in a medium offering a resistance (in Newtons) equal to 45 times the instantaneous velocity (in m/s). The mass is started in motion from the equilibrium position with an initial velocity of 1 m/s in the upward direction and with an applied external force F(t) 365 cos(3t) Newtons downwards. The displacement of the mass below the equilibrium position at...
1. A constant external force at a downward angle of 30 degrees from hortzontal is applied to a o-...
1. A constant external force at a downward angle of 30 degrees from hortzontal is applied to a o-kg box, which is on a rough horizontal surface. While the force pushes the box a distance of 8.00m, the speeds up from 0.500 m/s to 2.60 m/s. The work done by friction, in 3, during this process is-1040 3. What is the force, in N ? 3 2. An ideal spring is hung vertically from the celling. When a -kg mass...
Please help with 4a and 4b 4. (8 marks) A spring of natural length L is...
Please help with 4a and 4b
4. (8 marks) A spring of natural length L is hung vertically with a mass of 2 kg attached to the end. 4(a) Assume that the friction is negligible and the spring constant is k 128. Find the position of the mass at time t, if the spring is pulled down 0.2m from its equilibrium position and released with velocity 0 at time t = 0. Flo)0.2 4(b) Assume that a spring, with an...
please work neatly and show all steps A variable force is given by, F.(t) = (50.0...
please work neatly and show
all steps
A variable force is given by, F.(t) = (50.0 + 10.0 t*) newtons. This force is applied in the x direction for 5.00 seconds to a 10.00 kg mass which is initially at rest. Find the work done by that force in those 5.00 seconds. No other forces are acting on the mass. Important note: This force is a function of time, not position!, very similar to your worksheet problem. 3,
A 2kg mass is suspended vertically from a spring attached to a fixed support. The spring satisfies Hooke's law with a spring constant of k 18 N m1. No damping is present. Gravity acts on the mass with a gravitational constant of g 10 m s2. An external force of R 24 sin (wt) Newton is applied to the mass, directed downwards, where t is the time in seconds since the mass was set in motion and w is a...
(g) The relationship of the applied force F and the displacement x of a spring has the gen eral form F = kx, where the constant k is called the spring constant and is a measure of the "stiffness" of the spring. Notice that this equation has the form of a straight line. Find the value of the spring constant k of the spring used in determining the experi- mental data plotted in the Fig. 1.6 graph. (Note: Because k...
Please show all work! Thank you!
P.S. 5.2 Q2
A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 15 inches above equilibrium position x(t) Preview (b) the weight is released 15 inches above the equilibrium position with an upward velocity...
A 5 kilogram mass suspended from the end of a vertical spring stretches it by 1.225 metres. The system is placed in a medium offering a resistance (in Newtons) equal to 45 times the instantaneous velocity (in m/s). The mass is started in motion from the equilibrium position with an initial velocity of 1 m/s in the upward direction and with an applied external force F(t) 365 cos(3t) Newtons downwards. The displacement of the mass below the equilibrium position at...
1. A constant external force at a downward angle of 30 degrees from hortzontal is applied to a o-kg box, which is on a rough horizontal surface. While the force pushes the box a distance of 8.00m, the speeds up from 0.500 m/s to 2.60 m/s. The work done by friction, in 3, during this process is-1040 3. What is the force, in N ? 3 2. An ideal spring is hung vertically from the celling. When a -kg mass...
Please help with 4a and 4b
4. (8 marks) A spring of natural length L is hung vertically with a mass of 2 kg attached to the end. 4(a) Assume that the friction is negligible and the spring constant is k 128. Find the position of the mass at time t, if the spring is pulled down 0.2m from its equilibrium position and released with velocity 0 at time t = 0. Flo)0.2 4(b) Assume that a spring, with an...
please work neatly and show
all steps
A variable force is given by, F.(t) = (50.0 + 10.0 t*) newtons. This force is applied in the x direction for 5.00 seconds to a 10.00 kg mass which is initially at rest. Find the work done by that force in those 5.00 seconds. No other forces are acting on the mass. Important note: This force is a function of time, not position!, very similar to your worksheet problem. 3,
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