A 1.00-kg glider attached to a spring with a force constant 36.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x=-3.40 cm (that is, the spring is compressed by 3.40 cm). (a) Find the period of the glider's motion. 1.05 S (b) Find the maximum values of its speed and acceleration. speed 0.204 acceleration 1.224 m/s m/s² (c) Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s², and t is in s. Use the following as necessary: t.) x(t)=0.0304 cos 2πt 1.05 +π 2π 1.05 v(t)=-0.0340 sin( 2π 1.05 +π 2π a(t) -0.0341 2πt +π 1.05 1.05 ×
A 1.00-kg glider attached to a spring with a force constant 36.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x=-3.40 cm (that is, the spring is compressed by 3.40 cm). (a) Find the period of the glider's motion. 1.05 S (b) Find the maximum values of its speed and acceleration. speed 0.204 acceleration 1.224 m/s m/s² (c) Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s², and t is in s. Use the following as necessary: t.) x(t)=0.0304 cos 2πt 1.05 +π 2π 1.05 v(t)=-0.0340 sin( 2π 1.05 +π 2π a(t) -0.0341 2πt +π 1.05 1.05 ×
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 10P: A 1.00-kg glider attached to a spring with a force constant of 25.0 N/m oscillates on a...
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