The mass is displaced 12 inches in the positive direction from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cos ( 3 t ) lb, find the solution of the initial value problem describing the motion of the mass.If the mass isinitially released from equilibrium position with an upwardvelocity of 2ft/sec show that when B>3sqrt2 the equation ofmotion is spring constant k = 24/4 = 6lb/ft.Mass vs. Weight. 1. A mass weighing 2 pounds stretches a spring 6 inches. This "mass" is given in pounds in English units. A spring is stretched 6 in by a mass that weighs 8 lbs. The force in this case is 8 and the distance is 0.5 feet. Putting this into our formula F=ky we have 8=k(0.5) or k=16.The mass is given a positive displacement of 2 in from its equilibrium position and released with no initial velocity.Assuming that there is no damping and that the mass is acted on by an external Enter your email below to unlock your verified solution to: A mass weighing 4 lb stretches a spring 1.5 in.A mass of 100 g causes a vertical spring to stretch by 2.0 cm. a) find the spring constant of the spring in N/m: No picture was given to me.
A mass weighin 24 lbs stretches a spring 4 ft. The...
A mass weighing 3.2lbs is attached to the spring, and the system is immersed in a medium that offers a damping force numerically equal to 0.4 times the instantaneous velocity. a) Find the equation of motion if the mass is initially released from rest from a Q: A force of 2lbs stretches a spring 1ft.10. A mass weighing 8 pounds stretches a spring 2 feet. Assuming that a damping force numerically equal to 2 times the instantaneous velocity acts on the system, determine the equation of motion if the mass is initially (a) A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft.Place a mass on a spring hanging from a tall ringstand with a motion sensor positioned beneath as shown above. Stretch the spring 1 cm from its equilibrium position and release. Use a watch, phone or whatever (anything that measures seconds) to record the time required for ten complete oscillations.This stretches the spring 1/7 feet. The ball is started in motion from the equilibrium position with a downward velocity of 6 feet per second. I always get confused with fps system. Is the ball weighing 4 lb mean that its mass is 4 lb or that its weight is 4 poundal or pound-force.
PDF Spring
5. A mass weighing 2 lb stretches a spring 6 in. If the mass is pulled down an additional 3 in. and then released, and if there is no damping, determine the position u of the mass at time t. Plot u versus t. Find the frequency, period, and amplitude of the motion.Problem 86 Hard Difficulty. A mass weighing 4 lb stretches a spring 8 in. Find the equation of motion if the spring is released from the equilibrium position with a downward velocity of 12 ft/sec.Hang masses from springs and adjust the spring constant and damping. Transport the lab to different planets, or slow down time. Observe the forces and energy in the system in real-time, and measure the period using the stopwatch.10. A mass weighing 16 lb stretches a spring 3 in. If the mass is set in motion from its equilibrium position with a downward velocity of 3 in./sec, find its position u at any time t. Plot u versus t. Determine when the mass first returns to its equilibrium position.2. A force of 20 lb is required to hold a spring stretched 5 in beyond its natural length. 5. A cable that weighs 3 lb/ft is used to lift 1,000 lb of iron ore up a mineshapft which is 450 ft deep. Find the work done.
Two chemical crops, one at Macon and one at Jonesboro, produce three sorts of fertilizer, low phosphorus (LP), medium phosphorus (MP), and high phosphorus (HP). At each and every plant, the fertilizer is produced in a single production run, so the 3 sorts...
0 comments:
Post a Comment