Cal 2 A spring on a horizontal surface can be stretched and held 0.4 m from its equilibrium position with a force of 36 N.a. How much work is done in stretching the spring 5.5 m from its equilibrium position?b. How much work is done in compressing the spring 4.5 m from its equilibrium position?***a. Set up the integral that gives the work done in stretching the spring 5.5 m from its equilibrium position. Useincreasing limits of integration.0JOdx(Type exact answers.)

A spring on a horizontal surface can be stretched and held 0.4 m from its equilibrium position with…

Answered: A spring on a horizontal surface can be…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 11ECP

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A spring has a natural length of 10 feet, and when an 64lb weight is attached, the spring measures 13.2 feet. The weight is initially displaced 4 feet above equilibrium and given a downward velocity of 3 ft/sec. Find its displacement for t>0 if the medium resists the motion with a force of two Ibs for each ft/sec of velocity.
2- A constant force of (2kN) pulls a box along a level floor a distance of (10 m) in (50 s). What is the power used?
A mass weighing 4 pounds is attached to a spring whose constant is 2 Ib/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 16 ft/s. Determine the time (in s) at which the mass passes through the equilibrium position. (Useg = 32 ft/s? for the acceleration due to gravity.) Find the time (in s) after the mass passes through the equilibrium position at which the mass attains its extreme displacement from the equilibrium position. What is the position (in ft) of the mass at this instant? ft
A mass weighing 4 pounds is attached to a spring whose constant is 2 Ib/ft. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 16 ft/s. Determine the time (in s) at which the mass passes through the equilibrium position. (Use g = 32 ft/s? for the acceleration due to gravity.) Find the time (in s) after the mass passes through the equilibrium position at which the mass attains its extreme displacement from the equilibrium position. What is the position (in ft) of the mass at this instant? ft
(3) The uniform rectangular plate is supported by two hinges at A and B and held in the horizontal position by cable EF as shown. The weight of the plate is 750 lb and a 300 lb force is applied at corner D of the plate. Determine (a) the tension T in cable EF, (b) the magnitude of the reaction force normal to the hinge axis at hinge B. Ans: (a) T 495 lb (b) B = 304 lb 300 lb 4 in. 30 in. 8 in. B 4 in. 25 in. 20 in. x
A spring is stretched 8 feet into equilibrium by an object weighing 64 pounds, with a damping force of 8 pounds per ft/sec and an ex ternal force of 24 pounds. If the object is pushed down with a speed of 4ft/sec from a position 1 ft above the equilibrium position, find its displacement.

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