Certain springs are characterized by decreasing stiffness with increasing deformation according to the relation F = k1x
Question:
Certain springs are characterized by decreasing stiffness with increasing deformation according to the relation F = k1x ?? k2x3 , where F is the force exerted by the spring, 1 k and 2 k are positive constants, and x is theeflection of the spring measured from its undeformed position. Determine
(a) The potential energy Ve as a function of x,
(b) The maximum velocity of a particle of mass m attached to the spring and released from rest with x = x0 . Neglect friction.
F = k₁+k₂x³ F = k₁x-k₂x²
Step by Step Answer:
a b Conservation of energy ...View the full answer
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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