Q. 3) A T-shaped member, AOC, with a mass of 1 kg, shown below, is kept in static equilibrium with a smooth pin at point O, a linear elastic spring at point B, and a smooth contact surface at point C. The center of mass of the body is at point B, the unstretched (at rest) length of the spring is 2.5 cm, and the spring constant k is 80 N/cm. A vertical force P is applied at point A. Answer the following questions: a. Draw the free-body diagram of the member AOC. Include angles and dimensions using dashed lines. b. When no force is applied at point A (i.e., when P = 0 N), calculate the magnitudes of the support reactions at points C and O that keep this member in static equilibrium.... c. Calculate the magnitude of the force P that is required to break this member's contact with point C, and the magnitude of the support reactions at point O for that P 3 cm Fc = 12.64 N Fox = 27.36 N Foy = 9.81 N P = 8.428 N A 3 cm k B T 2 cm 2 cm ↓

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Q. 3) A T-shaped member, AOC, with a mass of 1 kg, shown below, is kept in static equilibrium
with a smooth pin at point O, a linear elastic spring at point B, and a smooth contact surface at point
C. The center of mass of the body is at point B, the unstretched (at rest) length of the spring is 2.5
cm, and the spring constant k is 80 N/cm. A vertical force P is applied at point A. Answer the
following questions:
a. Draw the free-body diagram of the member AOC. Include angles and dimensions using
dashed lines.
b. When no force is applied at point A (i.e., when P = 0 N), calculate the magnitudes of the
support reactions at points C and O that keep this member in static equilibrium.
c. Calculate the magnitude of the force P that is required to break this member's contact with
point C, and the magnitude of the support reactions at point O for that P.
Fc = 12.64 N
Fox = 27.36 N
Foy = 9.81 N
P = 8.428 N
A
3 cm
k
B
3 cm
T
2 cm
2 cm
↓
Transcribed Image Text:Q. 3) A T-shaped member, AOC, with a mass of 1 kg, shown below, is kept in static equilibrium with a smooth pin at point O, a linear elastic spring at point B, and a smooth contact surface at point C. The center of mass of the body is at point B, the unstretched (at rest) length of the spring is 2.5 cm, and the spring constant k is 80 N/cm. A vertical force P is applied at point A. Answer the following questions: a. Draw the free-body diagram of the member AOC. Include angles and dimensions using dashed lines. b. When no force is applied at point A (i.e., when P = 0 N), calculate the magnitudes of the support reactions at points C and O that keep this member in static equilibrium. c. Calculate the magnitude of the force P that is required to break this member's contact with point C, and the magnitude of the support reactions at point O for that P. Fc = 12.64 N Fox = 27.36 N Foy = 9.81 N P = 8.428 N A 3 cm k B 3 cm T 2 cm 2 cm ↓
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