A 2.10 kg mass on a spring has displacement as a function of time given by...
A 2.10 kg mass on a spring has displacement as a function of time given by the equation x(t)=(7.40cm)cos[(4.16rad/s)t−2.42rad]:
a) Find the time for one complete vibration. T=1.51s
b) Find the force constant of the spring. K=36.4
c) Find the maximum speed of the mass. vmax = 0.308m/s
d) Find the maximum magnitude of force on the mass. Fmax Fmax=2.69N
e) Find the position of the mass at t=1.00s; x = −1.25×10−2m
f) Find the speed of the mass at t=1.00s; v=???
g) Find the magnitude of acceleration of the mass at t=1.00s; a=???
h) Find the magnitude of force on the mass at t=1.00s; F=???
Homework Answers
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A 2.10 kg mass on a spring has displacement as a function of
time given by...
2. The displacement function for a mass of 2.0 kg on a horizontal spring with no...
2. The displacement function for a mass of 2.0 kg on a horizontal spring with no friction is given as X(t) 3.0 cm cos(2.0s1t + T/3) where t is in seconds. (e) The velocity as a function of time The total energy (f) (g) The spring constant (h) The speed of the mass when the kinetic and potential energies are the same The maximum speed (i) 0) The acceleration as a function of time
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Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
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