mass of 2 kg is suspended from a spring with a known constant of 10 Newton per entimetre and allowed to come to rest. It is then set in motion by giving it an initia elocity of 120 centimetres per second. The equation for the system is given as x(t) = C, cos v5 t + C2sin/5t /here x(t) is the displacement from the equilibrium position and t is the time in econds. The angular frequency w = v5 cycles per second. Find: a. The constants C1 and C2 and the equation for the velocity of the mass.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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A mass of 2 kg is suspended from a spring with a known constant of 10 Newton per
centimetre and allowed to come to rest. It is then set in motion by giving it an initial
velocity of 120 centimetres per second. The equation for the system is given as
x(t) = C, cos v5 t + C2sinv5t
Where x(t) is the displacement from the equilibrium position and t is the time in
seconds. The angular frequency w = v5 cycles per second. Find:
a. The constants C1 and C2 and the equation for the velocity of the mass.
b. The frequency of the motion (Frequency =
2n'
c. The velocity when t = 0.2 seconds.
Transcribed Image Text:A mass of 2 kg is suspended from a spring with a known constant of 10 Newton per centimetre and allowed to come to rest. It is then set in motion by giving it an initial velocity of 120 centimetres per second. The equation for the system is given as x(t) = C, cos v5 t + C2sinv5t Where x(t) is the displacement from the equilibrium position and t is the time in seconds. The angular frequency w = v5 cycles per second. Find: a. The constants C1 and C2 and the equation for the velocity of the mass. b. The frequency of the motion (Frequency = 2n' c. The velocity when t = 0.2 seconds.
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