The displacement from equilibrium of an oscillating mass attached to a spring is given by where y is measured in inches and t in seconds. Find the displacement at the times indicated in the table.
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Consider a ball of mass m attached to a spring of stiffness k, oscillating with amplitude A on a frictionless horizontal surface. At what displacement from equilibrium does the system have equal quantities of kinetic and potential energy?
The position of a 60 g oscillating mass is given by where t is in seconds and x is in cm. What is the velocity at t=0.40s? Assume that the oscillating mass is attached to a spring. What would the spring constant k of this spring be?
A weight is attached to a spring and reaches its equilibrium position (x = 0). It is then set in motion resulting in a displacement of x = 20 cos t, where x is measured in centimeters and t is measured in seconds. See the figure shown below.
(a) What is the spring's displacement when t = π/2?
What is the spring's displacement when t = π/3?
What is the spring's displacement when t = 5π/4?
(b) What is the spring's velocity when t = π/2?
What is the spring's velocity when t = π/3?
What is the spring's velocity when t = 5π/4?
