2. A mass of 4 pounds stretches a spring 0.4 feet. The mass moves through a medium which offers a damping force that is numerically twice the value of the instantaneous velocity. a) Find the equation of motion if the mass is released from rest 1 foot below the equilibrium position. b) Find the time the mass passes through the equilibrium position for the first time. Solve using algebraic techniques. л c) Find the velocity of the mass and direction (upwards or downwards) at /==sec. 4

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
Question
2. A mass of 4 pounds stretches a spring 0.4 feet. The mass moves through a medium which offers a damping force
that is numerically twice the value of the instantaneous velocity.
a) Find the equation of motion if the mass is released from rest 1 foot below the equilibrium position.
b) Find the time the mass passes through the equilibrium position for the first time. Solve using algebraic techniques.
л
c) Find the velocity of the mass and direction (upwards or downwards) at /==sec.
4
Transcribed Image Text:2. A mass of 4 pounds stretches a spring 0.4 feet. The mass moves through a medium which offers a damping force that is numerically twice the value of the instantaneous velocity. a) Find the equation of motion if the mass is released from rest 1 foot below the equilibrium position. b) Find the time the mass passes through the equilibrium position for the first time. Solve using algebraic techniques. л c) Find the velocity of the mass and direction (upwards or downwards) at /==sec. 4
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