A mass is placed on a frictionless, horizontal table. A spring (k = 100 N/m), which can be stretched or compressed, is placed on the table. A 8.00 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 = 3.0 cm and releases it from rest at t = 0. The mass oscillates in SHM. (a) Determine the equations of motion. (Use the following as necessary: t. Round your coefficients to at least three significant figures. In your equations, let distance be in cm and time be in s. Do not include units in your answers.) position (in cm) x(t) = velocity (in cm/s) v(t) = acceleration (in cm/s²) a(t) = cm cm/s cm/s² (b) Find the position (in cm), velocity (in cm/s), and acceleration (in cm/s2) of the mass at time t = 3.79 s. (Indicate the direction with the signs of your answers.) position cm velocity cm/s acceleration cm/s²

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 1OQ: Which of the following statements is not true regarding a massspring system that moves with simple...
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A mass is placed on a frictionless, horizontal table. A spring (k = 100 N/m), which can be stretched or compressed, is placed on
the table. A 8.00 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 = 3.0 cm and releases it from rest at t = 0. The mass oscillates in SHM.
(a) Determine the equations of motion. (Use the following as necessary: t. Round your coefficients to at least three significant
figures. In your equations, let distance be in cm and time be in s. Do not include units in your answers.)
position (in cm)
x(t) =
velocity (in cm/s)
v(t) =
acceleration (in cm/s²) a(t) =
cm
cm/s
cm/s²
cm/s
cm/s²
(b) Find the position (in cm), velocity (in cm/s), and acceleration (in cm/s²) of the mass at time t = 3.79 s. (Indicate the
direction with the signs of your answers.)
position
cm
velocity
acceleration
Transcribed Image Text:A mass is placed on a frictionless, horizontal table. A spring (k = 100 N/m), which can be stretched or compressed, is placed on the table. A 8.00 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 = 3.0 cm and releases it from rest at t = 0. The mass oscillates in SHM. (a) Determine the equations of motion. (Use the following as necessary: t. Round your coefficients to at least three significant figures. In your equations, let distance be in cm and time be in s. Do not include units in your answers.) position (in cm) x(t) = velocity (in cm/s) v(t) = acceleration (in cm/s²) a(t) = cm cm/s cm/s² cm/s cm/s² (b) Find the position (in cm), velocity (in cm/s), and acceleration (in cm/s²) of the mass at time t = 3.79 s. (Indicate the direction with the signs of your answers.) position cm velocity acceleration
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