3) A 1.50 kg mass on a spring has displacement as a function of time given by x(t) = (7.40 cm) cos [(4.16rad/s)t-2.42] Find (a) the time for one complete vibration; (b) the force constantof the spring; (c) the maximum speed of the mass; (d) the maximum force on the mass;(e) the position, speed, and acceleration of the mass at t= 1.00 s, (f) the force on the mass at that time

We are givenx(t)=(7.40 cm)cos{(4.16 rad/s)t−2.42}(a)Time for complete vibration is known as the…

Answered: 3) A 1.50 kg mass on a spring has…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 28PQ: We do not need the analogy in Equation 16.30 to write expressions for the translational displacement...

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Similar questions

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A mass is placed on a frictionless, horizontal table. A spring (k=100N/m) , which can be stretched or compressed, is placed on the table. A 5.00-kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x=4.0 cm and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion. (b) Find the position, velocity, and acceleration of the mass at time t=3.00 s.
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Can this analogy of SHM to circular motion be carried out with an object oscillating on a spring vertically hung from the ceiling? Why or why not? If given the choice, would you prefer to use a sine function or a cosine function to model the motion?
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