Many mountain bike shocks utilize a piston that travels in an oil-filled cylinder to rovide shock absorption; this system is shown schematically. When the front tire goes over a bump, the cylinder is given an initial velocity vo. The piston, which is attached to the fork, then moves with respect to the cylinder, and oil is forced through orifices in the piston. This causes the piston to decelerate at a rate proportional to the velocity at a = −kv. At time t = 0, the position of the piston is x = 0. Express the following: (a) the velocity v in terms of t, (b) the position x in terms of t, (c) the velocity v in terms of x.
Many mountain bike shocks utilize a piston that travels in an oil-filled cylinder to rovide shock absorption; this system is shown schematically. When the front tire goes over a bump, the cylinder is given an initial velocity vo. The piston, which is attached to the fork, then moves with respect to the cylinder, and oil is forced through orifices in the piston. This causes the piston to decelerate at a rate proportional to the velocity at a = −kv. At time t = 0, the position of the piston is x = 0. Express the following: (a) the velocity v in terms of t, (b) the position x in terms of t, (c) the velocity v in terms of x.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Many mountain bike shocks utilize a piston that travels in an oil-filled cylinder to rovide shock
absorption; this system is shown schematically. When the front tire goes over a bump, the cylinder is
given an initial velocity vo. The piston, which is attached to the fork, then moves with respect to the
cylinder, and oil is forced through orifices in the piston. This causes the piston to decelerate at a rate
proportional to the velocity at a = −kv. At time t = 0, the position of the piston is x = 0. Express the
following:
(a) the velocity v in terms of t,
(b) the position x in terms of t,
(c) the velocity v in terms of x.
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