The spring of modulus k = 720 N/m is stretched a distance ? = 54 mm when the mec

Question

The spring of modulus k = 720 N/m is stretched a distance ? = 54 mm when the mechanism is in the position shown.

(a) Calculate the force Pmin required to initiate rotation about the hinge axis BC, and determine the correspoinding magnitudes of the bearing forces which are perpendicular to BC.

(b) What is the normal reaction force at D if P = Pmin/2 ?

The spring of modulus k = 720 N/m is stretched a distance ? = 54 mm when the mechanism is in the position shown. Calculate the force Pmin required to initiate rotation about the hinge axis BC, and determine the correspoinding magnitudes of the bearing forces which are perpendicular to BC. What is the normal reaction force at D if P = Pmin/2 ?

Explanation / Answer

A) 720*0.054*0.040 =P *0.136 , hence p =11.435 N

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B) normal force is zero

C) normal force is zero

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D)

Nd*0.092 +5.718*0.136 =720*0.054*0.040=1.5552

Nd*0.092 +5.718*0.136 =1.5552

Nd =1.5552/0.8656 =1.8N

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