W-5 lb 3. The bottom of a 5-lb vertical plunger is in the dashed position in resting equilibrium against the spring with a stiffness k of 10 lb/in. The upper and lower end of the spring is welded to the plunger and the base plate. (So, the spring can carry compressive or tensile loads.) If the plunger is lifted 1.5 inches above its equilibrium position and released from rest, what is its velocity v as it strikes the button A. Neglect friction. k= 10 lb/in.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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W = 5 lb
3. The bottom of a 5-lb vertical plunger is in the dashed position in resting
equilibrium against the spring with a stiffness k of 10 lb/in. The upper and
lower end of the spring is welded to the plunger and the base plate. (So, the
spring can carry compressive or tensile loads.) If the plunger is lifted 1.5
k = 10 lb/in.
inches above its equilibrium position and released from rest, what is its
velocity v as it strikes the button A. Neglect friction.
Transcribed Image Text:W = 5 lb 3. The bottom of a 5-lb vertical plunger is in the dashed position in resting equilibrium against the spring with a stiffness k of 10 lb/in. The upper and lower end of the spring is welded to the plunger and the base plate. (So, the spring can carry compressive or tensile loads.) If the plunger is lifted 1.5 k = 10 lb/in. inches above its equilibrium position and released from rest, what is its velocity v as it strikes the button A. Neglect friction.
Expert Solution
Step 1

The figure shows various position and compression of the plunger

Civil Engineering homework question answer, step 1, image 1

 

The spring Stiffness k 

k=10lbin-(12 in1 ft)k=120 lb/ft

In equilibrium position, the weight of the plunger is equal to restoring force in the spring

W=kx05=120*x0x0=0.041 ft

 

 

 

  

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