A weight attached to a spring is pulled down 4 inches below the equilibrium position. Assuming that the period of the system is 1/3 seconds, determine a trigonometric model that gives the position of the weight at time t seconds.
we have
A weight pulled down the equilibrium position, so a will be -4
The period of constant is 2pi/n
Since 2pi/n=1/3 =n=6pi
Therefore, The trigonometric function is
y=-4 cos 6pi t
I hope help you !!
A weight attached to a spring is pulled down 4 inches below the equilibrium position. Assuming...
A weight attached to a lossless spring is pulled downs 2 inches below its equilibrium position. a) Assuming the period 1/3 second, find a trigonometric equation that gives the position of the weight at time, t, second b) state the values of A,B,C,and D within your equation c) what is the frequency of the spring's oscillation? d) sketch a plot of the spring's oscillations over two periods.
. Simple Harmonic Motion: An object is attached to a coiled spring. It is pulled down a distance of 6 inches from its equilibrium position and released. The period of the motion is 4 seconds. a. Show your work for modeling an equation of the objects simple harmonic motion d a cos wt where d is distance from the rest position and the 0. A hand sketch may be helpful, but is not required. period is b. What is the...
A weight of 25kg is hung from a spring. A pull of 45kg will stretch the spring to m. The body is pulled down tom below the static equilibrium position and then released. Find the displacement of the body from its equilibrium position at time t sec., the maximum velocity and the period of oscillation (g = 9.8 sea). 10 A weight of 25kg is hung from a spring. A pull of 45kg will stretch the spring to m. The...
If the weight is pulled down to its maximum position of 13.3 cm below its equilibrium position, what is the maximum acceleration the system will experience? (include units with answer) 108 N/m 154 N/m 68 N/m 3.8 kg A 3.8 kg weight is attached to the spring system shown. GES EF PicUp MESSAGING Answer Save Status Description If the weight is pulled down to its maximum position of 13.3 cm below its equilibrium position, what is the maximum acceleration the...
A spring is attached to the ceiling and pulled 18 cm down from equilibrium and released. After 4 seconds the amplitude has decreased to 4 cm. The spring oscillates 13 times each second. Assume that the amplitude is decreasing exponentially. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t. Preview Get help: Video License Points possible: 1 This is attempt 1 of 3 A spring is attached to the...
2) A 2-pound weight attached to the end of a spring stretches it 6 inches. At t= 0 and from a position 8 inches below the equilibrium position the weight is given a upward velocity of 3/4 ft/s. a) Find the equation of motion. b) What are the amplitude and period of motion? c) How many complete vibrations will the weight have completed at the end of 6t? d) What is the position of the weight at t=5s with respect...
A spring is attached to the ceiling and pulled 5 cm down from equilibrium and released. The amplitude decreases by 15% each second. The spring oscillates 12 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t.
A 20 lb weight is attached to the end of a spring. The spring is stretched 6 in. Find T/8 seconds, if the weight is the displacement from equilibrium of the weight after released from rest a point 2 inches above equilibrium position. Round to the nearest tenth of a foot. Your Answer:
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 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 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
A spring is attached to the ceiling and pulled 5 cm down from equilibrium and released. The amplitude decreases by 15% each second. The spring oscillates 11 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t.