A valve of piston type has a mass of 7 kg and is driven with S.H.M. that can be referred to a vector of length 60 mm rotating at 24 rad/s. The valve works in oil which creates a viscous resistance proportional to the velocity at the rate of 10 N/(m/s). Events controlled by the valve occur when it is 30 mm from its mid-position and moving towards it and, again, when it is 20 mm beyond its mid-position on the same stroke. Determine the time between these events. Evaluate the viscous resisting force at the first event and the force in the driving rod at the second.

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A valve of piston type has a mass of 7 kg and is driven with
S.H.M. that can be referred to a vector of length 60 mm rotating at 24 rad/s.
The valve works in oil which creates a viscous resistance proportional to the
velocity at the rate of 10 N/(m/s). Events controlled by the valve occur when it
is 30 mm from its mid-position and moving towards it and, again, when it is
20 mm beyond its mid-position on the same stroke. Determine the time
between these events. Evaluate the viscous resisting force at the first event and
the force in the driving rod at the second.
Transcribed Image Text:A valve of piston type has a mass of 7 kg and is driven with S.H.M. that can be referred to a vector of length 60 mm rotating at 24 rad/s. The valve works in oil which creates a viscous resistance proportional to the velocity at the rate of 10 N/(m/s). Events controlled by the valve occur when it is 30 mm from its mid-position and moving towards it and, again, when it is 20 mm beyond its mid-position on the same stroke. Determine the time between these events. Evaluate the viscous resisting force at the first event and the force in the driving rod at the second.
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