Question

In: Physics

1)A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg is...

1)A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg is attached to the spring and set into motion in a medium that offers a damped force equal 4 times the velocity. If the mass is at stating from 0.5 m above the equilibrium position with a downward initial velocity of sec/2.0m a) Find the equation for the position if the system is exerted by an external force of f(t)=4cos(t) b)Estimate the position of the mass at t = π/8 and t = π/4 sec c)Describe the motion after a long period of time

Solutions

Expert Solution


Related Solutions

A force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is...
A force of 640 newtons stretches a spring 4 meters. A mass of 40 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10 m/s. Find the equation of motion.
A force of 720 Newton stretches a spring 4 meters. A mass of 45 Kilograms is...
A force of 720 Newton stretches a spring 4 meters. A mass of 45 Kilograms is attached to the spring and is initially released from the equilibrium position with an upward velocity of 6 meters per second. Find an equation of the motion.
A force of 9 N stretches a spring 1 m. A mass weighing 1.96 N is...
A force of 9 N stretches a spring 1 m. A mass weighing 1.96 N is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 1.2 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from rest from a point 1 m above the equilibrium position. x(t) = m (b) Express the equation of motion in the form x(t) = Ae−λt...
A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of the spring
PLEASE ANSWER ALL 3 WILL THUMBS UP 1) A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 8 m/s. Find the equation of motion. x(t)=? m 2) Find the charge on the capacitor and the current in an LC-series circuit when L = 0.1 h, C = 0.1 f, E(t) = 100 sin(γt)...
A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences...
A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences friction, which acts as a force opposite and proportional to the velocity, with magnitude 2 N for every m/s of velocity. The spring is stretched 1 meter and then released. (a) Find a formula for the position of the mass as a function of time. (b) How much time does it take the mass to complete one oscillation (to pass the equilibrium point, bounce...
a. A 0.5 kg mass attached to a linear spring, with spring constant 5 N/m and...
a. A 0.5 kg mass attached to a linear spring, with spring constant 5 N/m and damping constant 0.2 kg/s, is initially displaced 10 cm from equilibrium. (a) What is the natural frequency of oscillation? What is its period of oscillation? How long does it take for the amplitude to decrease to 10% of its starting value? How many oscillations have occurred in this time? What fraction of the initial energy remains after this time? b. Two traveling waves with...
A force of 400N stretches a spring 2m. A mass of 50kg is attached to the...
A force of 400N stretches a spring 2m. A mass of 50kg is attached to the end of the spring and put in a viscous fluid with a damping force that is 100 times the instantaneous velocity. The mass is released from the equilibrium position with a downward velocity of 1m/s. (a) Determine the natural frequency of the system. (b) Determine the level of damping in the system. (c) Write the differential equation of motion (d) Solve the system and...
A mass of 1.5 kg stretches a spring 0.05 mm. The mass is in a medium...
A mass of 1.5 kg stretches a spring 0.05 mm. The mass is in a medium that exerts a viscous resistance of 240 NNwhen the mass has a velocity of 6 msms. The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.06 mm and released. Find an function to express the object's displacement from the spring's natural position, in mm after tt seconds. Let positive displacements indicate a stretched spring, and...
A 1-kg mass stretches a spring 20 cm. The system is attached to a dashpot that...
A 1-kg mass stretches a spring 20 cm. The system is attached to a dashpot that imparts a damping force equal to 14 times the instantaneous velocity of the mass. Find the equation of motion if the mass is released from equilibrium with an upward velocity of 3 m/sec. SOLVE THIS USING MATLAB CODE (SECOND ORDER DIFFERENTIAL EQUATIONS) SOLVE THIS USING MATLAB CODE (SECOND ORDER DIFFERENTIAL EQUATIONS) SOLVE THIS USING MATLAB CODE (SECOND ORDER DIFFERENTIAL EQUATIONS) SOLVE THIS USING MATLAB...
A 8.50 kg mass is attached to the end of a hanging spring and stretches it...
A 8.50 kg mass is attached to the end of a hanging spring and stretches it 28.0 cm. It is then pulled down an additional 12.0 cm and then let go. What is the maximum acceleration of the mass? At what position does this occur? What is the position and velocity of the mass 0.63 s after release?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT