(a) A body of mass 0.5 kg is suspended from a spring of negligible mass and it stretches the spring by 0.07 m. For a displacement of 0.03 m it has a downward velocity of 0.4 m/s. Compute, (i) the time period, (ii) the frequency, (iii) the amplitude of vibration of the spring.

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 17P: A block of unknown mass is attached to a spring with a spring constant of 6.50 N/m and undergoes...
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1. (a) A body of mass 0.5 kg is suspended from a spring of negligible mass and it stretches
the spring by 0.07 m. For a displacement of 0.03 m it has a downward velocity of 0.4 m/s.
Compute, (i) the time period, (ii) the frequency, (iii) the amplitude of vibration of the
spring. 3
(b) A particle executes linear harmonic motion about the point x = 0. At t = 0, it has
displacement y = 0.37 cm and zero velocity. If the frequency of motion is 0.25/sec,
determine the time period, the amplitude, the maximum speed, and the maximum
acceleration.

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