A certain block, attached to a spring, is observed to have a frequency of 7.6 Hz in SHM. If at t = 0 (the start of observation), the block is given an initial velocity of v = (0.2 m/s) i, and an initial displacement of x = 0.09 m in the +x axis, calculate the phase angle (in degrees) of the block.

A certain block, attached to a spring, is observed to have a frequency of 7.6 Hz in SHM. If at t = 0 (the start of observation), the block is given an initial velocity of v = (0.2 m/s) i, and an initial displacement of x = 0.09 m in the +x axis, calculate the phase angle (in degrees) of the block.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter12: Coupled Oscillations

Section: Chapter Questions

Problem 12.7P

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Question

both problems have some sort of similar questions so I compressed them together. Hopefully both could be solved thanks :>

A certain block, attached to a
spring, is observed to have a
frequency of 7.6 Hz in SHM. If at
t = 0 (the start of observation),
the block is given an initial
velocity of v = (0.2 m/s) i, and an
initial displacement of x = 0.09 m
in the +x axis, calculate the
phase angle (in degrees) of the
block.
Final answer in one decimal
place.

A certain block, attached to a
spring, is observed to have a
frequency of 4.2 Hz in SHM. If at
t = 0 (the start of observation),
the block is given an initial
velocity of v = (0.7 m/s) i, and an
initial displacement of x = 0.02 m
%3D
in the +x axis, calculate the
amplitude (in meters) of the
block.
Final answer in two decimal
places.

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