A rectilinear potentiometer was tested with its slider arm moving horizontally. If this potentiometer is used to measure the damped natural frequency of a simple mechanical oscillator of 6kg mass, stiffness of 12 N/m and damping constant of 1.2 N m/s, find its damped natural frequency.

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The first problem is the example how to solve it. (please use that method)

Problem Solving: A rectilinear potentiometer was tested with its slider arm
moving horizontally. If this potentiometer is used to measure the damped
natural frequency of a simple mechanical oscillator of 6kg mass, stiffness of
12 N/m and damping constant of 1.2 N m/s, find its damped natural
frequency. 

2. A rectilinear potentiometer was tested with its
slider arm moving horizontally. If this potentiometer is
used to measure the damped natural frequency of a
simple mechanical oscillator of 10kg mass, stiffness of
10 N/m and damping constant of 2 N. m/s, find its
damped natural frequency.
1
(B)² K
4(M)K (M)
Wd =
@d=
wa = 0.9949 rads/s
(2 N.m/s)²
10 N/m
4(10 kg) 10 N/m (10 kg)
Transcribed Image Text:2. A rectilinear potentiometer was tested with its slider arm moving horizontally. If this potentiometer is used to measure the damped natural frequency of a simple mechanical oscillator of 10kg mass, stiffness of 10 N/m and damping constant of 2 N. m/s, find its damped natural frequency. 1 (B)² K 4(M)K (M) Wd = @d= wa = 0.9949 rads/s (2 N.m/s)² 10 N/m 4(10 kg) 10 N/m (10 kg)
Problem Solving: A rectilinear potentiometer was tested with its slider arm
moving horizontally. If this potentiometer is used to measure the damped
natural frequency of a simple mechanical oscillator of 6kg mass, stiffness of
12 N/m and damping constant of 1.2 N m/s, find its damped natural
frequency.
Transcribed Image Text:Problem Solving: A rectilinear potentiometer was tested with its slider arm moving horizontally. If this potentiometer is used to measure the damped natural frequency of a simple mechanical oscillator of 6kg mass, stiffness of 12 N/m and damping constant of 1.2 N m/s, find its damped natural frequency.
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