A 0.34 kg mass is attached to a light spring with a force constant of 32.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following.(no image)(a) maximum speed of the oscillating mass m/s(b) speed of the oscillating mass when the spring is compressed 1.5 cm m/s(c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position m/s(d) value of x at which the speed of the oscillating mass is equal to one-half the maximum value m

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Asked Apr 5, 2019
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A 0.34 kg mass is attached to a light spring with a force constant of 32.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the following.

(no image)

(a) maximum speed of the oscillating mass
 m/s

(b) speed of the oscillating mass when the spring is compressed 1.5 cm
 m/s

(c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position
 m/s

(d) value of x at which the speed of the oscillating mass is equal to one-half the maximum value
 m
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Expert Answer

Step 1

Given: Mass, m = 0.34 kg

Spring constant, k = 32.9 N/m

Spring stretched, A = 5 cm = 0.05 m

Find: (a) Maximum speed of the oscillating mass

(b) Spped of the oscillating mass when the spring is compressed 1.5 cm

(c) speed of the oscillating mass as it passes point 1.5 cm from the equilibrium position

(d) Value of x at which the speed of oscillating mass is equal to the one-half the maximum value

Step 2

The angular speed of the object is:

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Step 3

(a) The maximum speed o...

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Vibrations

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